**Rounding off numbers to the nearest 10, 100 and 1000 – Video Explanation**

**Rounding numbers to the nearest 10 ( Tens )**

(1) For rounding off numbers to the nearest tens. we will first check if the ones digit is greater than or lesser than 5.

(2) If the one’s digit is greater than 5, we will increase tens digit by 1, and replace ones digit by 0.

(3) If one’s digit is lesser than 5, we will replace ones digit by 0, and other digits remain same.

**Question – Rounding up the given numbers to the nearest ten.**

**a) 49**

**Explanation**

In, present case,

49 has the number 9 in ones place

Since,

9 > 5

Hence, the required rounded number = 50

**b) 53**

**Explanation**

In, present case,

53 has the number 3 in ones place

Since,

3 < 5

Hence, the required rounded number = 50

**Rounding up to the nearest 100 ( Hundreds )**

(1) In order to rounding off numbers to the nearest hundreds we will first check if the tens digit is greater than or lesser than 5

(2) If the ten’s digit is greater than 5, we will increase hundreds digit by 1 and replace tens or ones digit by 0.

(3) If the ten’s digit is lesser than 5, we will replace tens or ones digit by 0, and other digits remain same.

**Question – Rounding up the given numbers to the nearest hundred.**

**a) 427**

**Explanation**

In, present case,

We have 427 in which 2 is in tens place and 7 in ones place

We know that 2 < 5

Hence, the required rounded number is 400

**b) 672**

**Explanation**

In, present case,

We have 672 in which 7 is in tens place and 2 in ones place

We know that 7 > 5

Hence, the required rounded number is 700

**Round off to the nearest 1000 ( Thousands )**

(1) In order to rounding off number to the nearest thousands we will first check if the hundreds digit is greater than or lesser than 5

(2) If the hundred’s digit is greater than 5, we will increase thousands digit by 1 and replace hundreds, tens and ones digit by 0.

(3) If the hundred’s digit is lesser than 5, we will replace hundreds, tens and ones digits by 0, and other digits remain same.

**Question – Rounding up the given numbers to the nearest thousand.**

**a) 3846**

**Explanation**

In, present case,

We have 3846 in which 8 is in hundred place , 4 is in tens place and 6 in ones place

So, 8 > 5

Hence, the required estimated number is 4000

**b) 8467**

**Explanation**

In, present case,

We have 8467 in which 4 is in hundred place , 6 is in tens place and 7 in ones place

So, 4 < 5

Hence, the required estimated number is 8000

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