# Estimation in Operations on Numbers

To estimate sum and difference, we first round off each

number to the nearest tens, hundreds, thousands or millions and then apply the

required mathematical operation.

Solved example on Estimation in Operations on Numbers:

**1.** Find the actual and estimated sum of 126,289 and 375,484

by rounding off numbers to the nearest thousands.

**Solution:**

To round off to the nearest thousands place, we consider the

number at ten-thousands place. Let us see the position of 126,289 on the number

line.

We observe that 126,289 is closer to 100,000. Therefore, it

is rounded down to 100,000. Next, we check the position of 375,484 on the

number line.

We note that 375,484 is closer to 400,000. Therefore, it is

rounded up to 400,000.

To find the estimated product or quotient, we round off

numbers to the greatest place-value.

**2.** Find the actual and estimated product of 22,165 and 3,745

by rounding off numbers to the greatest place-value.

**Solution:**

22,165 is rounded off to the nearest ten-thousands. 3745 is

rounded off to the nearest thousands.

**3.** Estimate the quotient for 7,475 ÷ 510

**Solution:**

7,475 is rounded off to the nearest thousands

510 is rounded off to the nearest hundreds

7,475 is closer to 7,000

510 is closer to 500

So, 7,000 ÷ 500 = 14

Questions and Answers on Estimation in Operations on Numbers:

**I. Estimate the given numbers and find the answer:**

**Answer:**

**II. Estimate and choose the right answer:**

**1.** A shopkeeper has 93,450 packets to sketch pens. If each

packet has 12 pens, then how many sketch pens are there in the shop.

(i) 900,000

(ii) 9,540,000

**Answer: **900,000

**2.** Shelly has 6,782,344 mm of rope. She has another rope of

length 2,539,886 mm. If both the ropes are attached, the estimated length

nearest to 1000 will be

(i) 9,450,000

(ii) 9,322,000

**Answer:** 9,322,000

**3.** There are 1341 houses in a street. Each house uses 278

units of electricity energy. Estimated energy used by the houses nearest to 10

will be

(i) 375,200

(ii) 37,500

**Answer: **375,200