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More Lessons for Grade 6

Math Worksheets

Videos, examples, solutions, worksheets, stories and songs to help Grade 6 students learn about Front End Estimation and Compatible Numbers.

### Front End Estimation (Rounding)

**Front End Estimation** is a way of estimating the sums, differences or products of numbers by rounding.

We first round each number to its leftmost place values and then perform the operation.

Example:

To add 67+ 24

Round each number using front-end estimation and then add

70 + 20 = 90

**Front end rounding**

This video explains what front end rounding is and how to apply it to a couple of examples. It works like normal rounding except we always round to the largest place value.
### Front End Estimation (Truncate)

Another way of Front End Estimation is to truncate each number to its leftmost place values and then perform the operation.

Example:

To add 67+ 24

Truncate each number using front-end estimation and then add

60 + 20 = 80

**Front End Estimation for Addition**

Examples:

1. 3279 + 2387

2. 5238 + 351

**Using Front end estimation to check that your answer is reasonable**

Example:

Find the sum or the difference.

Then use front-end estimation to check that your answer is reasonable.

1. 614 + 283

2. 713 - 398

**Use Front End Estimation for Multiplication**

Learn to use front end estimation

Example:

Sean has three binders of baseball cards, each with 175 cards. About how many baseball cards does he have in all?### Compatible Numbers

Compatible numbers are often used when estimating division. Compatible numbers are numbers that are close to the original numbers but they divide evenly into each other.

**How to use rounding, front-end estimation, and compatible numbers to estimate in the appropriate situation?**

Describe three estimation strategies: rounding, front-end estimation, and using compatible numbers.**Three Kinds of Estimation**

This video looks at Front-End Estimation, Clustering, and using Compatible Numbers. It includes six examples.

Examples:

**Front End Estimation**

3025 + 498 + 32

613 + 91 + 1231

**Clustering**

51 + 48 + 53 + 50 + 47

95 + 103 + 99 + 97 + 101 + 104

**Compatible Numbers**

73.8 ÷ 7.9

22.6 ÷ 3.04

**Estimating with Whole Numbers**

This video explains how to estimate addition, subtraction, multiplication, and division math problems by using rounding and compatible numbers.

Poem for rounding numbers

Find your number.

Look right next door.

4 or less ignore.

5 or more, add 1 more.

**Estimating with addition**

Step 1: Line up your numbers vertically.

Step 2: Remember the rounding rules: Find your number(s) and circle them.

Step 3: Look right next door to decide to ignore or add 1 more.

Step 4: Solve.

When wee multiply or divide, we can use compatible numbers to estimate. Compatible numbers are close to the actual numbers and are easy to compute mentally.**How to estimate quotients using compatible numbers?**

Examples:

6,481 ÷ 8

7,132 ÷ 9

3,413 ÷ 5

4,436 ÷ 7

More Lessons for Grade 6

Math Worksheets

Videos, examples, solutions, worksheets, stories and songs to help Grade 6 students learn about Front End Estimation and Compatible Numbers.

We first round each number to its leftmost place values and then perform the operation.

Example:

To add 67+ 24

Round each number using front-end estimation and then add

70 + 20 = 90

This video explains what front end rounding is and how to apply it to a couple of examples. It works like normal rounding except we always round to the largest place value.

Example:

To add 67+ 24

Truncate each number using front-end estimation and then add

60 + 20 = 80

Examples:

1. 3279 + 2387

2. 5238 + 351

Example:

Find the sum or the difference.

Then use front-end estimation to check that your answer is reasonable.

1. 614 + 283

2. 713 - 398

Learn to use front end estimation

Example:

Sean has three binders of baseball cards, each with 175 cards. About how many baseball cards does he have in all?

Describe three estimation strategies: rounding, front-end estimation, and using compatible numbers.

This video looks at Front-End Estimation, Clustering, and using Compatible Numbers. It includes six examples.

Examples:

3025 + 498 + 32

613 + 91 + 1231

51 + 48 + 53 + 50 + 47

95 + 103 + 99 + 97 + 101 + 104

73.8 ÷ 7.9

22.6 ÷ 3.04

This video explains how to estimate addition, subtraction, multiplication, and division math problems by using rounding and compatible numbers.

Poem for rounding numbers

Find your number.

Look right next door.

4 or less ignore.

5 or more, add 1 more.

Step 1: Line up your numbers vertically.

Step 2: Remember the rounding rules: Find your number(s) and circle them.

Step 3: Look right next door to decide to ignore or add 1 more.

Step 4: Solve.

When wee multiply or divide, we can use compatible numbers to estimate. Compatible numbers are close to the actual numbers and are easy to compute mentally.

Examples:

6,481 ÷ 8

7,132 ÷ 9

3,413 ÷ 5

4,436 ÷ 7

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