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.

E M B I B E

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

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8th CBSE

IMPORTANT

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The reciprocal of a negative rational number is ,

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Important Questions on Rational Numbers

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IMPORTANT

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

The additive inverse of

\frac{- r}{s}

is _____.

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8th CBSE

IMPORTANT

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

The multiplicative inverse of

\frac{p}{q}

is _____.

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8th CBSE

IMPORTANT

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

_____ is the additive identity.

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8th CBSE

IMPORTANT

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

_____ is the multiplicative identity.

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IMPORTANT

'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

IMPORTANT

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

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