Rounding and Estimating Numbers

**Rounding Numbers to the Greatest Place Value **

## ROUNDING NUMBER TO THE GREATEST OR HIGHEST PLACE VALUE.

**What does greatest place value mean?**

THE GREATEST OR HIGHEST PLACE VALUE IS THE DIGIT FARTHEST TO THE LEFT IN A NUMBER. IT COULD BE ANY NUMBER **EXCEPT ZERO**.

LOOK AT THE NUMBER 3654. The **3** is the greatest or highest place value number because it is the digit farthest to the left. The 3 is in the thousands place.

Look at the number again with a zero. 03654. The **3** is still the largest place value number because zero does not count.

**Following the rules for Rounding**

After finding the greatest place value number you can use the rules for rounding and round the number.

**Example 1: round 24,356 the greatest place value.**

Look to the right of the number in the ten

thousands place. It's a 4, so Round down.

24,356 is rounded to 20,000 because the highest

place value of that number is in the ten thousand

place.

**Example-2: round 8,636 to the greatest place value.**

**8** is the number farthest to the left so it is the greatest place value number and it is in the **thousands place**

So look to the right of the number in the thousands

place. It's a 6, so round up.

8,636 is rounded up to 9,000 because the highest place value of that number is the **8** in the thousands place.