Decimals (Grade 6)

Examples, solutions, videos, and lessons to help Grade 6 students learn to fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

Common Core: 6.NS.3

Suggested Learning Targets

• I can add, subtract, multiply, and divide multi-digit decimals
• I can use the standard algorithm when necessary.
• I can fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation with speed and accuracy, without math tools (i.e., calculator).

Component Skills from Previous Grades

5.NBT.7 Add & Subtract Decimals 5.NBT.7 Multiply & Divide Decimals Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

The following diagram gives the operations for decimals: add, subtract, multiply and divide. Scroll down the page for more examples and solutions.

 

6.NS.3 - Adding and Subtracting Decimals

A decimal point is a dot that is used to separate the whole number from the fractional part of a number.
To add or subtract decimals:

1. Write the numbers vertically with the decimals lined up (if the number is a whole number then the decimal goes on the right end of the number)
   
2. Add zeros to make sure there are the same number of digits in each number.
   
3. Add or subtract as normal.

• Show Step-by-step Solutions

6.NS.3 - Multiply and Divide Decimals

To Multiply Decimals:

1. Multiply like normal.
   
2. Count all the decimal place values.
   
3. Move the decimal that many places to the left.
   
4. Estimate to check.

To Divide Decimals:

1. Move decimal in divisor to make a whole number.
   
2. Move decimal in dividend the same amount of spaces.
   
3. Rewrite problem.
   
4. Divide like normal.
   
5. Bring the decimal up.

• Show Step-by-step Solutions

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