Question

Find the value of the following using suitable properties of whole numbers and write the name of the property:
(a) 1004 x 9 x 25
(b) 234 x 98
(c) 97 × 12540 + 3 × 12540
Plz Help

Answer 1

Step-by-step explanation:

Given :-

a) 1004 x 9 x 25

(b) 234 x 98

(c) 97 × 12540 + 3 × 12540

To find:-

Find the value of the following using suitable properties of whole numbers and write the name of the property ?

Solution:-

Solutions:-

a)

Given that :-

1004×9×25

It can be rearranged by Commutative property

=> (1004×25)×9

=> [(1000+4)×25]×9

It can be written by Distributive Property

=> [(1000×25)+(4×25)]×9

=> (25000+100)×9

=> 25100×9

=> 25100×(10-1)

by Distributive Property

=> (25100×10)-(25100×1)

=> 251000-25100

=> 225900

=> 225900

ii)

Given that

234×98

It can be written as

=> 234×(100-2)

By distributive Property

=> (234×100)-(234×2)

=> 23400-468

=> 22932

iii)

Given that

97×12540 +3×12540

By distributive Property

=> (97+3)×12540

=> 100×12540

=> 1254000

Answers:-

I)1004×9×25= 225900

ii)234×98 = 22932

iii)97×12540+3×12540 = 1254000

Used formulae:-

Commutative property:-

• If a and b are two integers then a×b = b×a is called Commutative property .

Distributive Property:-

• If a ,b and c are three digits then a×(b+c) = (a×b)+(a×c) is called Distributive Property.