Question

Using the properties of whole numbers, find the value of the following in suitable way: (a) 945 x 4 x 25 (b) 40 x 328 x 25.

Answer 1

Answer:

(a) 945 x 4 x 25

=  945 x 100

=  94500

(b) 40 x 328 x 25.

=  328 x 25 x 40

=  328 x 1000

=  328000

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Answer 2

As per the values given in the above question

We have to find the value by using suitable properties

Step-by-step explanation:

Given ,

$(a) 945 \times 4 \times 25$

$(b) 40 \times 328 \times 25$

Solution 1:

Let x = 945 x 4 x 25

We can use Associative property of Multiplication:

(a×b)×c= a×(b×c). .....(1)

Now from identity

a=945

b=4

c=25

Put the values in equation (1) ,we get

$x= 945×(4×25)$

Multiply 4 by 25 ,we get

$x= 945×(100)$

Now it's easy to multiply a term by 100 ,

$x= 94500$

Hence ,

$x= 945×4×25 = 94500$

Solution 2:

Let x= 40 x 328 x 25

or x=328×40×25

We can use Associative property of Multiplication:

(a×b)×c= a×(b×c). .....(1)

Now from identity

a=328

b=40

c=25

Put the values in equation (1) ,we get

$x=328×(40×25)$

Multiply both terms

$x=328×1000$

Multiply again remaining terms

$x=328000$

Hence ,

$x= 40 \times 328 \times 25 = 328000$

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