Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, less exact, but easier to use.
#### How to Round Numbers

When rounding, numbers can be *rounded up* or *rounded down*. This depends on the
neighboring digit of the place value to be rounded.
#### What are the rules for rounding off numbers?

Here's the general rule for rounding:
**Exercise 1: **Round the number 384306.4753 to the nearest ten.
Step 1: Circle the digit in the tens place value.

Step 2: Look to the neighboring digit on the right.

Step 3: Since the neighboring digit is greater than 5, the tens place value goes up by 1.

Step 4: Digits to the right of the tens place become 0 up until the decimal point.

**Fig. 1: **Exercise 1.
**Exercise 2: **Round the number 384306.4753 to the nearest ten thousand.
Step 1: Circle the digit in the ten thousands place value.

Step 2: Look to the neighboring digit on the right.

Step 3: Since the neighboring digit is less than 5, the ten thousands place value stays the same.

Step 4: Digits to the right of the ten thousands place value become 0 up until the decimal point.

**Fig. 2: **Exercise 2.

Example: 73 rounded to the nearest ten is 70, because 73 is closer to 70 than to 80.
- If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up by 1.

Example: 57 rounded to the nearest ten is 60. - If the number you are rounding is followed by 0, 1, 2, 3, or 4, keep the rounding digit the same. This is called rounding down.

Example: 54 rounded to the nearest ten is 50. - When rounding to the left hand side of the decimal, all digits to the right side of the rounding digit will become 0 up until the decimal point.
- When rounding to the right hand side of the decimal, drop all digits to the right of the rounding digit.

Step 2: Look to the neighboring digit on the right.

Step 3: Since the neighboring digit is greater than 5, the tens place value goes up by 1.

Step 4: Digits to the right of the tens place become 0 up until the decimal point.

Step 2: Look to the neighboring digit on the right.

Step 3: Since the neighboring digit is less than 5, the ten thousands place value stays the same.

Step 4: Digits to the right of the ten thousands place value become 0 up until the decimal point.

Significant Figures
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