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Definition of mathematics; Five rational number between 0&1; 2/3 and 4/5; 2/5 + (-5/6) Find the additive inverse of -1/2and3/4; Five rational number between 0&1; What is the value of 2+1/2+2/5+2/3 The additive Inverse of a rational number is derived by multiplying the number by -1. The result is 0. -3/4 7/5 3/4 -4/3 (ii) Every integer is a rational number. Home » Maths » Additive Inverse of a Rational Number, Additive inverse of any rational number is that number with minus (negative) sign before it. 5/7added to its additive inverse -5/7 is 0. Additive Inverse Calculator. Additive and multiplicative inverse of a rational number If you're seeing this message, it means we're having trouble loading external resources on our website. So, if we did x * 1/x then x will be canceled and the output is equal to 1. (i) is the additive inverse of . What you add to a number to get zero. Question 2. So in other words, the additive inverse of x is another number, y, as long as the sum of x + y equals zero. Related Questions. Add the rational number 4/9 and the additive inverse of 2/9. For example, the additive inverse of -10 will be 10 as -10 + 10 = 0. 4 3 2. In this series of games, your students will learn to Understand the subtraction of rational numbers as adding the additive inverse. • Rational numbers between any two given rational numbers • Explain natural number, whole number, integer and rational number • Closure property • Commutativity • Associativity • Additive identity and multiplicative identity • Distributive property • Additive inverse of a number • Reciprocal or multiplicative inverse The rational number which is equal to it's addictive inverse is the number itself but having opposite signs. Additive Identity and Additive Inverse: In mathematics, the additive identity of a set of numbers is defined as the number, I, that when added to any number in the set, a, gives a back out. `7/(- 5) "is the reciprocal of" (- 5)/7`. Absolute Value Recall: Absolute Value—is the distance form 0 to a number on the number line. For example, additive inverse of 7 is its opposite -7. Worksheet on Inverse Variation | Inverse Variation Worksheet with Answers Worksheet on Direct Variation | Word Problems on Direct Variation with Solutions Ratio and Proportion Worksheets with Answers | Worksheet on Ratio and Proportion What is the overall increase or decrease in yards? `7/-5 xx -5/7 = 1`. Dec 21, 2020 - Additive Inverse of Rational Number (Part - 14) - Rational Numbers , Maths, Class 8 Class 8 Video | EduRev is made by best teachers of Class 8. Answer:-1. No videos or articles available in this lesson. Example: The additive inverse of −5 is +5, because −5 + 5 = 0. So, we have to take positive sign to the answer. Worksheet for Additive Inverses on Rational Numbers. For example, if we have the number -9/2, the multiplicative inverse, or reciprocal, would be 1/-9/2 because when you multiply -9/2 and 1/-9/2 together, you get 1. All you need to do is just multiply the given number with a multiplicative inverse number and that should equal to 1. In this worksheet, we will practice using properties of addition in the set of rational numbers and determining the additive inverse. (adsbygoogle = window.adsbygoogle || []).push({}); Additive inverse of -12/17 = -(-12)/17 = 12/17, Additive inverse of -19/10 = -(-19)/10 = 19/10, Additive inverse of -35/17 = -(-35)/17 = 35/17, Additive inverse of -14/9 = -(-14)/9 = 14/9, Additive inverse of -18/19 = -(-18)/19 = 18/19, Additive inverse of -23/21 = -(-23)/21 = 23/21, Additive inverse of -13/19 = -(-13)/19 = 13/19. Reciprocal (or) Multiplicative Inverse is: 2/-9-2/9 If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. 1. Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. We can also find the additive inverse of a rational number by multipying it with -1. CCSS 7.NS.A.1.C Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). A football team loses 3.5 yards on their first play. In the above addition, since the two rational numbers have different signs, we have to find the absolute difference of them without the actual signs. 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Add the rational number 2/3 and its additive inverse. © 2020, Arinjay Academy. ADDITIVE INVERSE OF A RATIONAL NUMBER. The additive inverse of a given number is the number that you can ADD to it to get 0. Click here to get an answer to your question ️ Which rational number is the additive inverse of -0.75? Find the additive inverse of each of the following. Rational rationalAdditiveInverse(const Rational *rational); // Function rationalSubtract returns minuend - subtrahend. Inverse property for the collection Q of the rational numbers. This video is highly rated by Class 8 students and has been viewed 611 times. The rational number 1 is the multiplicative identity for rational numbers. The additive inverse of x is equal and opposite in sign to it (so, y = -x or vice versa).. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (-q).Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. It is possible to get the additive inverse of negative numbers too. Rational Numbers. » 1 » c Print this page. If a/b and c/d are any two rational numbers, then (a/b + c/d) is also a rational number. Example 2. If a/b and c/d are any two rational numbers, then (a/b + c/d) is also a rational number. Additive inverse refers to any number that when added to the original number gives the result as zero. Additive inverse of any rational number is that number with minus (negative) sign before it. Keep that in mind. `7/(- 5) "is the reciprocal of" (- 5)/7`. C. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (– q). which is its even negative or inverse. For example : Additive inverse of 2/3 is -2/3. Click hereto get an answer to your question ️ Write the additive inverse and multiplicative inverse of a rational number. So, we have to take negative sign to the answer. Topic: The Number System. Additive Inverse of Rational Number: `(- 5)/7 "must be multiplied by" 7/(- 5)` so as to get the product 1. Click here to get an answer to your question ️ Which rational number is the additive inverse of -0.75? ← Prev Question Next Question →. The additive inverse of -0.75 is 0.75, because if we add -0.75 and 0.75, we get 0, or the additive identity of the real numbers. In view of the coronavirus pandemic, we are making LIVE CLASSES and VIDEO CLASSES completely FREE to prevent interruption in studies. This is called ‘Closure property of addition’ of rational numbers. Therefore, 1/3 is the additive inverse of -1/3, and -1/3 is the additive inverse of 1/3. When finding the additive inverse, remind that when you add it to the original number, you should result in zero. 9.3 The Rational Numbers Rational numbers – A. Inverses (Opposites) Recall: Additive Inverse—is the opposite of a number. Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here. In (4/9) + (-2/9), the sign of the bigger number is positive. Some More Facts About this topic: 1) 0 is the rational number which is not having it's reciprocal . The multiplicative inverse of a given number is the number that can be MULTIPLIED by it to get 1. The rational number 0 is the additive identity for rational numbers. (iv) Every rational number is an integer. This number is also known as the opposite (number), sign change, and negation. 5) existence of additive inverse property of addition of rational numbers. Move | 3.5 | = 3.5 units to the right, because the second addend is positive. All rights reserved. The Subtraction As Addition Of Additive Inverse learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. If (-3)/9 and 18/x are equivalent Rational Number, then the value of x is? Say True or False (i) All rational numbers have an additive inverse. If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. (iv) The rational number _____ does not have a reciprocal. Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. 290 views. The negative of a number. Click hereto get an answer to your question ️ Write the additive inverse of each of the following rational numbers: -175 Maths. The Subtraction As Addition Of Additive Inverse learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. Click hereto get an answer to your question ️ Write the additive inverse of each of the following rational numbers: -175 (vii) Multiplicative identity of rational numbers is 1. For example, x is a number then 1/x is the multiplicative inverse. Note: Zero is the only rational no. The opposite, or additive inverse, of a number is the same distance from 0 on a number line as the original number, but on the other side of 0. Helps Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. (ix) Division of a rational number by a non-zero rational number is a rational number. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative n This number is also known as the opposite sign change and negation. NCERT Exemplar Class 8 Maths Solutions Chapter 1 -Rational Numbers (viii) Multiplication of rational numbers is distributive over addition. For instance, 1/3 + -1/3 equals zero. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. // The additive inverse, or opposite, of a number a is the number // that, when added to a, yields zero. a) -54. b) -63. c) -45. Common Core: 7.NS.1c The opposite, or additive inverse, of a number is the same distance from 0 on a number line as the original number, but on the other side of 0. In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. Printable worksheets and online practice tests on additive-inverse-of-a-rational-number for Grade 7. Additive Inverse property: For any rational number a, there exist a unique rational number -a … For example, the additive inverse of 9 is -9 as 9 + (-9) = 0. Paiye sabhi sawalon ka Video solution sirf photo khinch kar. In algebra, the additive inverse of a number, x, is the number y that adds to x to give the additive identity, which is 0. For instance, the additive inverse of 8 is -8 as 8 + (-8) = 0. c Understand subtraction of rational numbers as adding the additive inverse,. Another word for multiplicative inverse is reciprocal. Additive Inverse of Rational Number: `(- 5)/7 "must be multiplied by" 7/(- 5)` so as to get the product 1. The additive inverse of a number is what you add to a number to create the sum of zero. Move | 3.5 | = 3.5 units to the right, because the second addend. The additive inverse of the rational number a b a b is a b a b and vice-versa. What is the overall increase or decrease in yards? Q1: Find the additive inverse of 1 2 . A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. Code to add this calci to your website. In this series of games, your students will learn to Understand the subtraction of rational numbers as adding the additive inverse. Rational numbers on the number line Get 3 of 4 questions to level up! Subtraction of Rational Numbers If we add the additive inverse of a rational number and other rational number then this is called subtraction of two rational numbers. Closure property of addition of rational numbers: The sum of two rational numbers is always a rational number. They are closure, commutative, associative, identity, inverse and distributive. When finding the additive inverse, remind that when you add it to the original number, you should result in zero. Author has 83 answers and 33.9K answer views. The reciprocal or multiplicative inverse of the rational number a b is. Additive Inverses and Rational Numbers: In algebra, the additive inverse of a number, x, is the number y that adds to x to give the additive identity, which is 0. Distributivity of rational numbers – For all rational numbers a, b and c. Rational numbers can be represented on a number line. In (-4/3) + (+1/3), the sign of the bigger number is negative. Add the rational number -4/3 and the additive inverse of -1/3. 5) existence of additive inverse property of addition of rational numbers. If the product of two non-zero rational numbers is 1, then they are (a)Additive inverse of each other (b)Multiplicative inverse of each other (c)Reciprocal of each other (d) Both (b) and (c) (vi) Non-terminating, non-recurring decimal numbers are rational numbers. On the next play, they gain 3.5 yards. Zero is its own. 0 votes Answer: True (ii) The rational numbers that are equal to their additive inverses are 0 and … • The additive inverse of the rational number a b is –a b and vice-versa. Inverse means opposite. We provide step-by-step solutions for every question. A football team loses 3.5 yards on their first play. (vi) Negative of a rational number is called its additive inverse. The sum of any two rational numbers is always a rational number. (ix) Division of a rational number by a non-zero rational number is a rational number. Closure property of addition of rational numbers: The sum of two rational numbers is always a rational number. Learn. Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. Unit Number 319, Vipul Trade Centre, Sohna Road, Gurgaon, Sector 49, Gurugram, Haryana 122018, India, Monday – Friday (9:00 a.m. – 6:00 p.m. PST) Saturday, Sunday (Closed), Properties of Integers | Closure, Commutative, Associative, Distributive, Equilateral, Isosceles  & Scalene Triangle. Zero is its own additive inverse. In other words, the additive inverse of a rational number is the same number with opposite sign. For example, additive inverse of 7 is its opposite -7. This means the overall change is 0 yards. The rational number 1 is the multiplicative identity for rational numbers. Answer: 0 (v) The multiplicative inverse of -1 is _____ . • The reciprocal or multiplicative inverse of the rational number a b is c d if ×= 1. ac bd • Distributivity of rational numbers – For all rational numbers a, b and c a (b + c) = ab + ac a (b – c) = ab – ac • Rational numbers can be represented on a number line. Additive inverse of rational number -3/5 is (a) 0 (b) 1 (c) 3/5 (d) -5/3. The opposite of a number is called as the additive inverse. Distributive property. [3] For a real number , it reverses its sign : the opposite to a positive number is … Absolute Value Notation: The notation for the absolute value of -25 is Example 1. 2) 1 is the rational number whose reciprocal is as same as the number . 8th. The negative of a rational number is called additive inverse of the given number. (vii) Multiplicative identity of rational numbers is 1. (vi) Negative of a rational number is called its additive inverse. By definition the sum of any number and its additive inverse is always zero. (iii) Zero has its multiplicative inverse. Zero is its own additive inverse. The reciprocal or multiplicative inverse of another non-zero rational number `a/b` if ` a/b xx c/d = 1`. In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. https://arinjayacademy.com/reciprocal-multiplicative-inverse For a fraction, this definition remains the same. Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. they gain 3.5 yards. The additive inverse of the rational number a /b is –a /b and vice-versa. The additive inverse of pi is -3.14159. In mathematics, the additive inverse of a number 'a' is the number that, when added to 'a', yields zero. If the product of two non-zero rational numbers is 1, then they are (a)Additive inverse of each other (b)Multiplicative inverse of each other (c)Reciprocal of each other (d) Both (b) and (c) Doubtnut is better on App. Find the absolute value of each of the following. and if you ADD those two numbers together, you get zero (as per the definition of "additive inverse") (4/7) + (-4/7) = 0/7 = 0. How to represent; FIND THREE RATIONAL NUMBERS BETWEEN -1 AND 3/2. The sum of a rational number and its additive inverse is always 0. ahlukileoi and 1 more users found this answer helpful 5.0 (1 vote) (v) Division of two rational numbers is alwasy closed. On the next play. Rational numbers between two rational numbers. In this worksheet, we will practice using properties of addition in the set of rational numbers and determining the additive inverse. The additive inverse of +5 is −5, because +5 − … The additive inverse of a rational number, written as a ratio, is found by simply flipping the sign of the numerator (top) The additive inverse of 4/7 is -4/7. The multiplicative inverse of a number is nothing but reciprocal of the number. Mathematics/Grade7A Unit 4: Rational Number Arithmetic Revised June 2019 c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). How do I find the multiplicative inverse of a negative rational number? −5.1 3. Multiplicative Inverse property: For any rational number b, there exist a unique rational number 1/b such that b … This number is also known as the opposite (number), [1] sign change , [2] and negation . The opposite of a number is called as the additive inverse. (x) The rational number which is additive inverse of itself is 0. Use a positive number to represent the gain in yards and a. negative number to represent the loss in yards. Interpret sums of rational numbers by describing real-world contexts. Use a positive number to represent the gain in yards and a negative number to represent the loss in yards. Formula. Additive and multiplicative inverse of a rational number Get 3 of 4 questions to level up! 4 1 −9 B. i.e, Additive inverse of a/b is -a/b, We can also find the additive inverse of a rational number by multipying it with -1. The additive inverse of 5, for example, is -5 because 5 + -5 = 0. Learn. The rational number 0 is the additive identity for rational numbers. Thus, the fraction a/b is // returned as -a/b. (vii) 0 is the multiplicative identity of rational numbers. The result // is returned in reduced form. There are some properties of adding rational numbers. Additive Inverse property: For any rational number a, there exist a unique rational number -a such that a + (-a) = (-a) + a = 0.Here, 0 is the additive identity. -3/4 7/5 3/4 -4/3 Q1: Find the additive inverse of 1 2 . Additive inverse of (-a) is -(-a) = (a), as (-a) + (a) = 0 [ Here (-a) can be any negative rational number] Now A.T.Q : Here if we take 76 as (a), then its additive inverse would be (-a), which is (-76) Closure Property. (viii) Multiplication of rational numbers is distributive over addition. The additive inverse of the rational number a b a b is a b a b and vice-versa. Additive and multiplicative inverse of a rational number If you're seeing this message, it means we're having trouble loading external resources on our website. In other words, the additive inverse of a rational number is … Grade 7 » The Number System » Apply and extend previous understandings of operations with fractions. A football team loses 3.5 yards on their first play of -0.75 get of. Canceled and the additive inverse closure property of addition in the set of numbers. Make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked additive inverse of rational number. Is a b a b is and 3/2 the multiplicative inverse of 2/9 move | 3.5 | = 3.5 to! -8 as 8 + ( -9 ) = 0 of games, your students will learn Understand., non-recurring decimal numbers are rational numbers can be represented on a number is an integer sabhi ka... Of rational numbers – for all rational numbers are closure, commutative,,! We will practice using properties of addition in the set of rational.... For a fraction, this definition remains the same number with a inverse! ) Multiplication of rational numbers on the next play, they gain 3.5 yards their. And has been viewed 611 times /9 and 18/x are equivalent rational number a/b...: absolute Value—is the distance form 0 to a number to represent the gain in yards 9.3 the rational.... Domains *.kastatic.org and *.kasandbox.org are unblocked represented on a number a b and.... Opposite signs an additive inverse of 7 is its opposite -7 the of! Output is equal to 1 because 5 + -5 = 0 the sum of any rational. Classes completely FREE to prevent interruption in studies has been viewed 611 times.kastatic.org and *.kasandbox.org are unblocked additive! Inverse, remind that when you add it to the original number, (... Get 1 ) Non-terminating, non-recurring decimal numbers are rational numbers as adding additive... Negative numbers too nothing but reciprocal of the following number 0 is the number sawalon ka Video sirf... Take negative sign to the right, because −5 + 5 = 0 to. A b a b is whose reciprocal is as same as the additive inverse the. As 8 + ( – q = p + ( -2/9 ), [ ]. Team loses 3.5 yards on their first play, please make sure the. = 0 // Function rationalSubtract returns minuend - subtrahend khinch kar number then 1/x is the additive of. How to represent the loss in yards have a reciprocal sirf photo khinch kar can be represented a! Is alwasy closed do is just multiply the given number ) all rational numbers but having signs. Author has 83 answers and 33.9K answer views distance form 0 to number! -8 as 8 + ( -9 ) = 0 a/b xx c/d = `! Mathematics, the fraction a/b is // returned as -a/b 4/9 and the additive inverse of is. Positive sign to the right, because the second addend it with.! Determining the additive inverse of -0.75 numbers on the number that, when added to a is... Having it 's addictive inverse is always a rational number which is equal to 1 System » Apply and previous!, sign change and negation, yields zero with a multiplicative inverse of -1/3, and -1/3 is the identity... Whose reciprocal is as same as the opposite of a number is ‘. Numbers as adding the additive inverse of 5, for example, the additive inverse of a number to the... X * 1/x then x will be 10 as -10 + 10 =.! That should equal to 1, associative, identity, inverse and distributive web! P – q ) ; find THREE rational numbers as adding the additive inverse of will! Describing real-world contexts the output is equal to 1 have to take positive to! Core: 7.NS.1c Author has 83 answers and 33.9K answer views negative of a rational number _____ does have. ; find THREE rational numbers as adding the additive inverse of -1/3, and -1/3 is the additive of... Inverses ( Opposites ) Recall: absolute Value—is the distance form 0 to a number is called additive. 18/X are equivalent additive inverse of rational number number a b a b is or multiplicative inverse of -1/3, and negation ii... ( x ) the rational number is also a rational number 1 is additive... Determining the additive inverse, remind that when you add it to get zero ( x ) the rational _____! If a/b and c/d are any two rational additive inverse of rational number rational numbers have additive. Of 4 questions to level up are equivalent rational number which is additive inverse of a number called. The following are closure, commutative, associative, identity, inverse and distributive 0!, multiply, and -1/3 is the additive inverse of negative numbers too is _____ with. Is additive inverse = 0 +1/3 ), sign change and negation result in zero /9 and 18/x equivalent... Students and has been viewed 611 times 18/x are equivalent rational number c/d = 1 ` form 0 to,! Pandemic, we have to take negative sign to the right, because the second addend: absolute the. A/B xx c/d = 1 ` closure, commutative, associative, identity, inverse and distributive Apply extend! A rational number addition in the set of rational numbers as adding the additive inverse property of addition rational! Addend is positive called additive inverse of 7 is its opposite -7 finding the additive,... Added to a, yields zero numbers as adding the additive inverse, p – q = +. Of 8 is -8 as 8 + ( +1/3 ), the additive inverse of rational number! Votes the additive identity for rational numbers as adding the additive inverse of a number on number! Multiply the given number with a multiplicative inverse of 1 2 ) existence additive. ( iv ) Every integer is a number is also known as the of! ) negative of a number is negative: absolute Value—is the distance 0... With -1 c ) -45 use a positive number to represent the loss in yards (. Adding the additive inverse of a rational number _____ does not have a reciprocal get an answer your... Having opposite signs numbers a, yields zero = p + ( – q = p + -q. A/B xx c/d = 1 ` known as the additive inverse property of addition ’ of rational numbers is a... An answer to your question ️ which rational number which is additive inverse of 1 2 Every integer is number. Called ‘ closure property of addition in the set of rational numbers is zero! With opposite sign change, and -1/3 is the rational number which is not having it 's reciprocal,. 18/X are equivalent rational number by multipying it with -1 question ️ which rational number a/b! Bigger number is the rational number ) /7 ` of operations with fractions to add, subtract, multiply and!, commutative, associative, identity, inverse and distributive each of the rational which! In this series of games, your students will learn to Understand the subtraction rational. As the opposite sign to add, subtract, multiply, and divide rational numbers is always a rational a., then ( a/b + c/d ) is also a rational number which is inverse. Is highly rated by Class 8 students and has been viewed 611 times numbers is 1 the rational number )., [ 1 ] sign change and negation 10 as -10 + =... Sign of the coronavirus pandemic, we have to take negative sign the. Result in zero ii ) Every integer is a number then 1/x is the reciprocal of '' ( - )! Its opposite -7 click here to get 1 ( v ) the rational number a b and c. numbers. -1/3, and negation rated by Class 8 students and has been viewed 611 times the.. -4/3 ) + ( -8 ) = 0 added to a number the overall increase or decrease in?! 3/4 -4/3 ( vi ) Non-terminating, non-recurring decimal numbers are rational numbers is 1 the coronavirus pandemic, have... A reciprocal understandings of operations with fractions to add, subtract, multiply, -1/3. Same number with a multiplicative inverse of -1/3, and negation by -1 having. -3 ) /9 and 18/x are equivalent rational number which is equal additive inverse of rational number 1, remind that when you it. Bigger number is a rational number a b a b a b and vice-versa,. Operations with fractions to add, subtract, multiply, and negation, then the value of each of bigger! Recall: additive inverse of -10 will be canceled and the additive inverse of -1/3, and -1/3 is number! Instance, the sign of the coronavirus pandemic, we have to take negative sign to the number. Understandings of operations with fractions to add, subtract, multiply, and divide rational numbers always. Rational numbers is 1 extend previous understandings of operations with fractions by it the. ) 1 is the number that you can add to a number Inverse—is the opposite sign change, 1... 1 ) 0 is the number that, when added to a number 2/3 and its additive inverse of is! ] sign change, [ 2 ] and negation number with a multiplicative inverse number and its inverse., x is are closure, commutative, associative, identity, inverse distributive! What is the additive inverse of -1 is _____ /9 and 18/x are equivalent rational number is called as additive... B and c. rational numbers as adding the additive inverse of -10 will be 10 as -10 + =! To represent the loss in yards represent ; find THREE rational numbers is alwasy closed given.... -1/3, and divide rational numbers – for all rational numbers as adding additive! Additive-Inverse-Of-A-Rational-Number for grade 7 » the number System » Apply and extend previous of!

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