# Rounding numbers

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Rounding a number means simplifying it while retaining its value close to what it was.

First, you need to comprehend the rounding digit concept:

when working with whole numbers and rounding to the closest 10, the ​rounding digit is the second number on the right — or the 10's place;

when rounding to the nearest hundred, the third place on the right is the rounding digit — or the 100's place.

## The general rule for rounding numbers:

• Step 1: Choose the final digit to keep;
• Step 2: If the following digit is less than 5, keep it the same (rounding down);
• Step 3: If the next digit is 5 or more, raise it by one (rounding up);

### Rounding decimals

When rounding to tenths, leave one number after the decimal point.

When rounding to the hundredths, leave two digits after the decimal point, etc.

### Rounding to whole numbers

If you need to round to tens, hundreds, etc., the first thing to do is to replace the removed digits with zero.

### Rounding to significant digits

Count the digits from left to right, then round off.

#### Example 1:

Round 74 to the nearest 10.

#### Solution:

Step1:

We want to keep the ‘7’ (it is in the 10s position);

Step2:

The next digit is ‘4’ which is less than 5, so no change is needed for ‘7’;

Answer: 70 (74 gets rounded down)

#### Example 2:

Round 86 to the nearest 10.

#### Solution:

We want to keep the “8”. The next digit is “6” which is 5 or more.

Answer: 90 (86 gets rounded up)
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