Name the property used in each of the following - 2 5 × 1 3 - 4 7 = - 2 5 × 1 3 - 2 5 × - 4 7 .

Given, - 2 5 × 1 3 - 4 7 = - 2 5 × 1 3 - 2 5 × - 4 7 The distributive property of multiplication over subtraction states that the multiplication of a number by the difference of two other numbers is equal to the difference of the products of the distributed number. The formula for the distributive property of multiplication over subtraction is: a - b × c = a × c - b × c . Hence the required answer is distributive property of multiplication over subtraction.

Name the property used: 7 + 1 3 = 1 3 + 7 .

Given, 7 + 1 3 = 1 3 + 7 The commutative property of addition says that changing the order of the addends does not change the value of the sum. formula a + b = b + a . Hence, the required answer is commutative property of addition.

Name the property used in each of the following - 6 7 × 1 3 × - 4 5 = - 6 7 × 1 3 × - 4 5 .

Given, - 6 7 × 1 3 × - 4 5 = - 6 7 × 1 3 × - 4 5 According to the associative property of multiplication, if three or more numbers are multiplied, we get the same result irrespective of how the three numbers are grouped. formula a × b × c = a × b × c . Hence, the required answer is associative property of multiplication.

Name the property used in each of the following - 11 15 × - 5 44 = - 5 44 × - 11 15 .

Given, - 11 15 × - 5 44 = - 5 44 × - 11 15 The commutative property of multiplication says that the order in which we multiply two numbers does not change the final product. formula a × b = b × a . Hence, the required answer is commutative property of multiplication.

What is the product of additive inverse of - 3 23 and multiplicative inverse of - 3 23 .

Additive inverse is what you add to a number to make the sum zero. For example, the additive inverse of 4 is - 4 because their sum is zero. The additive inverse of - 3 23 is 3 23 . The multiplicative inverse of any number is another number that when multiplied by the original number gives the product as 1 . For example, the multiplicative inverse of 3 is 1 3 . The multiplicative inverse of - 3 23 is - 23 3 . Product = multiplicative inverse × additive inverse = 3 23 × - 23 3 = - 1 Hence, the required answer is - 1 .

What should be subtracted from additive inverse of - 7 11 to get - 7 11 .

Additive inverse is what you add to a number to make the sum zero. For example, the additive inverse of 3 is - 3 because their sum is zero. The additive inverse of - 7 11 is 7 11 . Let x should be subtracted from 7 11 to get - 7 11 , 7 11 - x = - 7 11 7 11 + 7 11 = x 7 + 7 11 = x 14 11 = x x = 14 11 14 11 should be subtracted from 7 11 to get - 7 11 . Hence, the required answer is 14 11 .

E M B I B E

'I Did It' Mathematics>Chapter 1 - Rational Numbers>Worksheet>Q 2

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is the additive identity.

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Important Questions on Rational Numbers

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'I Did It' Mathematics>Chapter 1 - Rational Numbers>Worksheet>Q 2

_____ is the multiplicative identity.

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'I Did It' Mathematics>Chapter 1 - Rational Numbers>Worksheet>Q 3

Name the property used in each of the following

\frac{- 2}{5} \times (\frac{1}{3} - \frac{4}{7}) = \frac{- 2}{5} \times \frac{1}{3} - \frac{2}{5} \times \frac{- 4}{7} .

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'I Did It' Mathematics>Chapter 1 - Rational Numbers>Worksheet>Q 3

Name the property used:

7 + \frac{1}{3} = \frac{1}{3} + 7 .

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8th CBSE

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'I Did It' Mathematics>Chapter 1 - Rational Numbers>Worksheet>Q 3

Name the property used in each of the following $(\frac{- 6}{7}) \times (\frac{1}{3} \times \frac{- 4}{5}) = (\frac{- 6}{7} \times \frac{1}{3}) \times (\frac{- 4}{5}) .$