Rounding to the Nearest Ten and Hundred

Introduction

Rounding is a method used to simplify numbers while maintaining their value to a certain degree. In this lesson, we will focus on rounding numbers to the nearest ten and hundred.

Rounding to the Nearest Ten

To round a number to the nearest ten:

1. Identify the digit in the tens place.
2. Look at the digit in the ones place.
   • If it is 5 or greater, add 1 to the tens digit.
   • If it is less than 5, keep the tens digit the same.
3. Replace the ones digit with 0.

Example:

Round 47 to the nearest ten:

• The tens digit is 4, and the ones digit is 7.
• Since 7 is greater than 5, we add 1 to 4, which gives us 5.
• Therefore, 47 rounded to the nearest ten is:

$$50$$

Rounding to the Nearest Hundred

To round a number to the nearest hundred:

1. Identify the digit in the hundreds place.
2. Look at the digit in the tens place.
   • If it is 5 or greater, add 1 to the hundreds digit.
   • If it is less than 5, keep the hundreds digit the same.
3. Replace the tens and ones digits with 0.

Example:

Round 284 to the nearest hundred:

• The hundreds digit is 2, and the tens digit is 8.
• Since 8 is greater than 5, we add 1 to 2, resulting in 3.
• Therefore, 284 rounded to the nearest hundred is:

$$300$$

Key Questions

• What is the rule for rounding up?
• How does the digit in the ones or tens place affect rounding?
• Can you round the number 62 to the nearest ten?

Conclusion

Rounding helps in estimating values and making calculations easier. Remember the rules for rounding to the nearest ten and hundred to improve your math skills!