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Multiplying Decimal Numbers

Multiplying Decimal Numbers

Assessment

Presentation

Mathematics

5th Grade

Hard

Created by

James Gonzalez

FREE Resource

4 Slides • 8 Questions

1

Multiplying

decimal numbers

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Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and

multiplication/division; relate the strategy to a written method, and explain the reasoning used. Use concrete models and drawings to solve problems with decimals to hundredths. [5.NBT.8a]

2

When multiplying decimal numbers . . .

Remember the steps!

  1. Estimate your answer (check the reasonableness)

  2. Line up the numbers from the right (leave or remove the decimals – your choice!)

  3. Solve using long multiplication

  4. Count the numbers after the decimal points*

  5. Place the decimal point in front of the digits you counted in step 4

  6. Compare your answer to your estimate from step 1

*Shortcut! The number of digits after the decimal place is how many spaces from right to left you will move when placing your

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decimal into your final answer.

3

Examples:

47.51 x 8

47.51

x 8

______

​380.08

Decimals | Math 5

*Use long multiplication to help you solve.

​5.7 x 10

5.7

x 10

_____

​57

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*Multiplying by 10 is easy peasy - just move the decimal over to the right one place!​

4

Multiple Choice

Question image

How many places and which direction should we move the decimal when we multiply any number by 10?

(Remember, 10 is a whole number!)

Example: 4.2 x 10

1

one space to the left

2

one space to the right

3

two spaces to the left

4

two spaces to the right

5

Multiple Choice

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Derek has a collection of ten model cars. Each car is 3.25 inches long. If he lined up his cars in a row, how many inches long would the entire collection be?

1

325 inches

2

32.5 inches

3

0.325 inches

4

0.0325 inches

6

Fill in the Blanks

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Type answer...

7

Multiple Choice

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How many numbers will be behind the decimal in our answer for 0.2 x 0.8?

1

1

2

2

3

3

4

4

8

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Each small individual square​ represents a hundredth (.01). Each column (up and down) and each row (left to right) represents a tenth (.10).

Shading in a grid is very helpful when multiplying fractions!

When modeling . . .

9

Multiple Choice

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Solve the following problem:

0.4 x 7

Use the grid if it helps!

1

2.8

2

28

3

0.28

4

280

10

Multiple Choice

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Solve the following problem:

0.2 x 3.4

Use the grid if it helps!

1

3.6

2

2.34

3

0.68

4

0.36

11

Poll

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How do you feel about multiplying decimals?

1: I am going to need lots of help with this.

2: I think I get it, but I may still need some help.

3: I get it; I just need more practice.

4-5: I can almost teach it, and/or I can definitely show that I know it.

12

Open Ended

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Hitting a snag?

How can I help you better understand multiplying decimals?

Multiplying

decimal numbers

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Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and

multiplication/division; relate the strategy to a written method, and explain the reasoning used. Use concrete models and drawings to solve problems with decimals to hundredths. [5.NBT.8a]

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