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6.02 Subtract decimals

Lesson

Are you ready?

Do you remember how to use a standard algorithm for subtraction? Let's try this problem to practice.

Find the value of $769-584$769584.

Vocabulary:
  • You might notice that sometimes the standard algorithm is called the 'vertical algorithm'. Let's think about why. When we use the standard algorithm, we line our numbers up in 'vertical' place value columns.

Learn

There are a few strategies that can be used to subtract a whole number from a number with a decimal.

This video looks at renaming numbers by filling in empty places with zeros. 

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Question 1

Find $1-0.2$10.2 giving your answer as a decimal

 

Learn

Sometimes there is a need to regroup, or rename, some values before we can subtract. We use the same process as we use with whole numbers, so using place value columns can really help.

This video shows how to combine the standard algorithm for subtraction with place value columns to solve decimal subtractions that need regrouping.

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Question 2

Find $5.75-0.06$5.750.06, leaving your answer in decimal form.

 

Learn

This video explores how to complete a pattern that involves subtracting numbers with decimals. 

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Question 3

Consider the following pattern.

  1. What is the pattern?

    $0.83$0.83 $0.77$0.77 $0.71$0.71 $\editable{}$ $\editable{}$ $\editable{}$

    The numbers are decreasing by $0.06$0.06.

    A

    The numbers are decreasing by $0.6$0.6.

    B

    The numbers are decreasing by $6$6.

    C

    The numbers are decreasing by $60$60.

    D
  2. $0.83$0.83 $0.77$0.77 $0.71$0.71 $\editable{}$ $\editable{}$ $\editable{}$

 

Remember!

When setting up the standard algorithm for numbers with decimals, we must line up the decimal points so that we are subtracting digits with the same place value.

 

Outcomes

5.NBT.B.7

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 operations. Assess the reasonableness of answers using estimation strategies. (Limit multiplication problems so that the product does not exceed thousandths. Limit division problems so that either the dividend or the divisor is a whole number.)

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