Rounding any number up to 1,000,000

​​In a nutshell

​Rounding numbers makes them much easier to work with. It also allows you to estimate the answers to long, tricky calculations. 

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Rounding to the nearest 10, 100 and 1000

To round to the nearest $$10$$, $$100$$ or $$1000$$, you need to look at the digit in the place value column to the right of the column containing the one. To round to the nearest...

•  $$10$$: look at the ones column.
•  $$100$$: look at the tens column.
•  $$1000$$: look at the hundreds column.

Round down if the value of the digit in this column is less than $$5$$; round up if the value is $$5$$ or above.​

Rounding to the nearest 10 000

Definition

Rounding to the nearest ten thousand means to round a number up or down to the nearest multiple of $$10\space 000$$​.

PROCEDURE

1. Look at the digit in the thousands column.
   
2. If the value is $$0,1,2,3$$ or $$4$$, round down to the nearest multiple of $$10 \ 000$$. If the value is $$5,6,7,8$$ or $$9$$, round up to the nearest multiple of $$10\ 000$$.​

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Example 1

Round $$64\space970$$ to the nearest ten thousand.

Look at the thousands.

The digit in the thousands column is $$4$$.

Round down to the nearest multiple of $$10\space000$$:

$$64\space970\rightarrow\underline{60\space000}$$

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Rounding to the nearest 100 000

Definition

Rounding to the nearest hundred thousand means to round a number up or down to the nearest multiple of $$100\space 000$$​.

PROCEDURE

1. Look at the digit in the ten thousands column.
   
2. If the value is $$0,1,2,3$$ or $$4$$; round down to the nearest multiple of $$100 \ 000$$. If the value is $$5,6,7,8$$ or $$9$$; round up to the nearest multiple of $$100\ 000$$.​

Example 2

Round $$883\space970$$ to the nearest hundred thousand.

Look at the ten thousands.

The digit in the ten thousands column is $$8$$.

Round up to the nearest multiple of $$100\space 000$$:

$$883\space970\rightarrow\underline{900\space000}$$

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Rounding to the nearest 1 000 000

Definition

Rounding to the nearest million means to round a number up or down to the nearest multiple of $$1\space000\space 000$$​.

PROCEDURE

1. Look at the digit in the hundred thousands column.
   
2. If the value is $$0,1,2,3$$ or $$4$$; round down to the nearest multiple of $$1\ 000 \ 000$$. If the value is $$5,6,7,8$$ or $$9$$; round up to the nearest multiple of $$1\ 000 \ 000$$.​

Example 3

Round $$283\space764$$ to the nearest million.

Look at the hundred thousands.

The digit in the hundred thousands column is $$2$$.

Round down to the nearest multiple of $$1\space000\space 000$$:

$$283\space764\rightarrow\underline0$$

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Note: You might need to round down to zero in some cases!