Verify and name of the property used-3 - -19- 21

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Standard VII

Mathematics

Properties of Integers under Multiplication

Verify and na...

Question

Verify and name of the property used.
$[(- 3) + (- 19)] \times 21$

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Solution

Verifying the property used
$[(- 3) + (- 19)] \times 21$
Using the distributive property of multiplication over addition
$[(- 3) + (- 19)] \times 21 = (- 3) \times 21 + (- 19) \times 21 = - 63 + (- 399) = - 63 - 399 = - 462$
Hence, the property used is distributive property of multiplication.

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Verify and name of the property used.-3+-19×21

Verifying the property used-3+-19×21Using the distributive property of multiplication over addition-3+-19×21=-3×21+-19×21=-63+-399=-63-399=-462Hence, the property used is distributive property of multiplication.

Verify and name of the property used.
$[(- 3) + (- 19)] \times 21$

Verifying the property used
$[(- 3) + (- 19)] \times 21$
Using the distributive property of multiplication over addition
$[(- 3) + (- 19)] \times 21 = (- 3) \times 21 + (- 19) \times 21 = - 63 + (- 399) = - 63 - 399 = - 462$
Hence, the property used is distributive property of multiplication.