# How do you round 105 to the nearest hundred?

##### 1 Answer

100

#### Explanation:

Showing what I call the cut off point (in red)

In your mind only write the number as:

The digit to the right of the cut off point is less than 5 so we round down. That is, change all the digits to the right of the cut off point as 0 so:

105 is 100 to the nearest one hundred.

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If the digit to the right of the cut off point had been 5 or more then we would have 200 to the nearest one hundred

Suppose it had been 163

6 satisfies the condition of 5 or more so the digit to the LEFT of the cut of point has 1 added to it.

Consider to the nearest 10