Question

7. Estimate the product of the following numbers by rounding off as specified. a. 3,16,284 x 65 round-off to nearest 10 b. 1,02,327 x 743 round-off to nearest 100 c. 29,31,095 x 32 round-off to nearest 10 d. 12,82,166 x 51 round-off to nearest 10 e. 7,42,693 x 126 round-off to nearest 100​

Answer 1

Answer:

order to estimate to nearest hundreds we follow the following procedure:

Step I: Obtain the number.

Step II: Examine the digit at tens place.

Step III: If the digit at tens place is less than 5, replace each one of the digits at tens and ones or units place by 0 and keep all other digits as they are.

If the digit at tens place is 5 or greater than 5, increase the digit at hundreds place by 1 and replace each one of the digits at tens and ones place by 0.

The number so obtained is the number rounded off to the nearest hundreds.

Answer 2

Given :- Estimate the product of the following numbers by rounding off as specified.

Solution :-

a) 3,16,284 x 65 round-off to nearest 10 .

→ 316284 round off to nearest 10 = unit digit 4 => 316280

→ 65 round off to nearest 10 = unit digit 5 => 70

so,

→ 316280 * 70 = 22139600

b) 1,02,327 x 743 round-off to nearest 100 .

→ 102327 round off to nearest 100 = ten's digit 2 => 102300

→ 743 round off to nearest 100 = ten's digit 4 => 700

so,

→ 102300 * 700 = 71610000

c) 29,31,095 x 32 round-off to nearest 10 .

→ 2931095 round off to nearest 10 = unit digit 5 => 2931100

→ 32 round off to nearest 10 = unit digit 2 => 30

so,

→ 2931100 * 30 = 87933000

d) 12,82,166 x 51 round-off to nearest 10

→ 1282166 round off to nearest 10 = unit digit 6 => 1282170

→ 51 round off to nearest 10 = unit digit 1 => 50

so,

→ 1282170 * 50 = 64108500

e) 7,42,693 x 126 round-off to nearest 100

→ 742693 round off to nearest 100 = ten's digit 9 => 742700

→ 126 round off to nearest 100 = ten's digit 2 => 100

so,

→ 742700 * 100 = 74270000

Learn more :-

Q-2(C) Write the numbers in expanded form.

a) 887152 =

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