# Estimation of the Numbers

#### Summary*arrow_upward*

The estimation of a number is a reasonable guess of the actual value. Estimation means approximating a quantity to the accuracy required. This is done by rounding off the numbers involved and getting a quick and rough answer.

**Rounding off a number to the nearest tens**

The numbers 1, 2, 3 and 4 are nearer to 0. So, these numbers are rounded off to the lower ten. The numbers 6, 7, 8 and 9 are nearer to 10. So, these numbers are rounded off to the higher ten. The number 5 is equidistant from both 0 and 10, so it is rounded off to the higher ten.

e.g.

(i) We round off 31 to the nearest ten as 30

(ii) We round off 57 to the nearest ten as 60

(iii) We round off 45 to the nearest ten as 50

**Rounding off a number to the nearest hundreds**

The numbers 201 to 249 are closer to 200. So, these numbers are rounded off to the nearest hundred i.e. 200. The numbers 251 to 299 are closer to 300. So, these numbers are rounded off to the higher hundred i.e. 300. The number 250 is rounded off to the higher hundred.

e.g.

(i) We round off 578 to the nearest 100 as 600.

(ii) We round off 310 to the nearest 100 as 300.

**Rounding off a number to the nearest thousands**

Similarly, 1001 to 1499 are rounded off to the lower thousand i.e.1000, and 1501 to 1999 to the higher thousand i.e. 2000. The number 1500 is equidistant from both 0 and 1000, and so it is rounded off to the higher thousand i.e.2000.

e.g.

(i) We round off 2574 to the nearest thousand as 3000.

(ii) We round off 7105 to the nearest thousand as 7000.

**Estimation of sum or difference:**

When we estimate sum or difference, we should have an idea of the place to which the rounding is needed.

e.g.

(i) Estimate 4689 + 19316

We can say that 19316 > 4689

We shall round off the numbers to the nearest thousands.

19316 is rounded off to 19000

4689 is rounded off to 5000

Estimated sum:

19000 + 5000 = 24000

(ii) Estimate 1398 – 526

We shall round off these numbers to the nearest hundreds.

1398 is rounded off to 1400

526 is rounded off to 500

Estimated difference:

1400 – 500 = 900

**Estimation of the product:**

To estimate the product, round off each factor to its greatest place, then multiply the rounded off factors.

e.g.

Estimate 92 x 578

The first number, 92, can be rounded off to the nearest ten as 90.

The second number, 578, can be rounded off to the nearest hundred as 600.

Hence, the estimated product =90 x 600 = 54,000.

Estimating the outcome of number operations is useful in checking the answer.

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#### Questions & Answers*arrow_upward*

### 1 . which is the smallest 5 digit no. divisible by 35?

The smallest 5 digit number = 10000

The remainder when 10000 is divided by 35 = 10

Therefore , the smallest 5 digit number...

### 2 . medicine is packed in boxes each weighing 4kg 500g.how many such boxes can be loaded in a van which cannot carry beyond 800kg?

Devide 4500 with 800000 then we will cut two zero answer is:177 boxes can be loaded in the van.

### 3 . What is the general rule in estimation?

First of all your question is very good. Estimation is nothing but finding a rough value which is very near to the exact value. The lesser t...

### 4 . what is the consecutive successor of 99

Successor of 99 is 100.

### 5 . what least number must be added to 1065 to get a number exactly divisible by 33.

32