Question

Rearrange the numbers and find the answer -

1. 974 x 17 + 974 x 3 2. 379 x 28 - 379 x 18
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Answer 1

Answer:

1. 19480 2.17434

Step-by-step explanation:

1. 974× 17 + 974× 3

= 16558+2922

=19480

2.379×28-379×18

=10612-6822

=17434

Answer 2

Answer:

974 x 17 + 974 x 3  = 19480

379 x 28 - 379 x 18 =3790

Step-by-step explanation:

Given,

1.  974 x 17 + 974 x 3

2. 379 x 28 - 379 x 18

To find,

The value of the given two expressions

Recall the formula,

If a,b,c are any three integers then

• Distributive property of multiplication over addition is given by a×(b+c) = (a×b) + (a×c)
• Distributive property of multiplication over subtraction is given by  a×(b-c) = (a×b) - (a×c)

Solution:

1.  974 x 17 + 974 x 3

Applying the distributive property of multiplication over addition of integers we get

974 x 17 + 974 x 3  = 974 ×(17+3)

= 974 ×20

= 19480

974 x 17 + 974 x 3  = 19480

2. 379 x 28 - 379 x 18

applying the distributive property of multiplication over subtraction of integers we get

379 x 28 - 379 x 18 = 379 x( 28 - 18)

= 379 x 10

= 3790

379 x 28 - 379 x 18 =3790

∴The required answer is

974 x 17 + 974 x 3  = 19480

379 x 28 - 379 x 18 =3790

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