# Rounding (Decimal)

See how to round a decimal

(to the nearest tenth, hundredth, thousandth).

4 examples and their solutions.

## Rounding

### Formula

n...

: 0 ~ 4

→ n

: 5 ~ 9

→ (n + 1)

When rounding a number:: 0 ~ 4

→ n

: 5 ~ 9

→ (n + 1)

If the right side number is in 0 ~ 4,

then don't change n.

If the right side number is in 5 ~ 9,

then n → n + 1.

### Example

Round 2.71828... to the nearest hundredth.

Solution 2.71828...

→ 2.72

→ 2.72

Hundredth number: 1

Right side number: 8

8 is in 5 ~ 9.

Then 1 → 1 + 1 = 2.

So write 2.72.

Right side number: 8

8 is in 5 ~ 9.

Then 1 → 1 + 1 = 2.

So write 2.72.

Close

### Example

Round 3.141592... to the nearest hundredth.

Solution 3.141592...

→ 3.14

→ 3.14

Hundredth number: 4

Right side number: 1

1 is in 0 ~ 4.

Then don't change 4.

So write 3.14.

Right side number: 1

1 is in 0 ~ 4.

Then don't change 4.

So write 3.14.

Close

### Example

Round 3.141592... to the nearest tenth.

Solution 3.141592...

→ 3.1

→ 3.1

Tenth number: 1

Right side number: 4

4 is in 0 ~ 4.

Then don't change 1.

So write 3.1.

Right side number: 4

4 is in 0 ~ 4.

Then don't change 1.

So write 3.1.

Close

### Example

Round 3.141592... to the nearest thousandth.

Solution 3.141592...

→ 3.142

→ 3.142

Thousandth number: 1

Right side number: 5

5 is in 5 ~ 9.

Then 1 → 1 + 1 = 2.

So write 3.142.

Right side number: 5

5 is in 5 ~ 9.

Then 1 → 1 + 1 = 2.

So write 3.142.

Close