Multiplication and Division of Decimals
Multiplication and Division of Decimals
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Topics to review before starting this chapter:
Topics to review before starting this chapter:
How to multiply and divide!
How to multiply and divide!
How to multiply from right to left
How to do long division
Estimation strategies:
Estimation strategies:
There are many ways to estimate decimal numbers. Here are four ways to choose from!
There are many ways to estimate decimal numbers. Here are four ways to choose from!
Using Base 10 Blocks to Multiply Decimals:
Using Base 10 Blocks to Multiply Decimals:
1) First, look at the decimal number and represent it with the base 10 blocks. In this example,
In this example, 2.13 is represented by 2 flats, 1 rod and 3 cubes.
1) First, look at the decimal number and represent it with the base 10 blocks. In this example,
In this example, 2.13 is represented by 2 flats, 1 rod and 3 cubes.
2) Next, look at what your decimal number is being multiplied by. Repeat drawing the image you created that many times!
In this example, 2.13 is being multiplied by 3. So I drew my image 3 times in total.
2) Next, look at what your decimal number is being multiplied by. Repeat drawing the image you created that many times!
In this example, 2.13 is being multiplied by 3. So I drew my image 3 times in total.
3) Finally, count how many blocks you have in total!
In this example, there are 6 flats, 3 rods and 9 cubes.
The answer is 6.39 !
3) Finally, count how many blocks you have in total!
In this example, there are 6 flats, 3 rods and 9 cubes.
The answer is 6.39 !
4) Sometimes you may have to do a fourth step! After you have repeated your Base 10 drawing the correct amount of times, check to see that each section has less than 10 blocks.
4) Sometimes you may have to do a fourth step! After you have repeated your Base 10 drawing the correct amount of times, check to see that each section has less than 10 blocks.
5) If there are 10 or more of one type of block, exchange 10 of them for one of the next biggest model. Then count to find your answer.
In this example, there were more than 10 rods. So I took away 10 rods and replaced it with one flat.
There are 7 flats, 4 rods and 8 cubes.
The answer is 7.48 !
5) If there are 10 or more of one type of block, exchange 10 of them for one of the next biggest model. Then count to find your answer.
In this example, there were more than 10 rods. So I took away 10 rods and replaced it with one flat.
There are 7 flats, 4 rods and 8 cubes.
The answer is 7.48 !
Strategies for Multiplying Decimal Numbers:
Strategies for Multiplying Decimal Numbers:
📽 Watch these videos to see tutorials on multiplying strategies covered in class:
📽 Watch these videos to see tutorials on multiplying strategies covered in class:
(When solving multiplication problems on our quiz, you may choose any strategy that works best for you!)
(When solving multiplication problems on our quiz, you may choose any strategy that works best for you!)
Multiplying from right-to-left!
Multiplying from right-to-left!
Multiplying from left-to-right!
Multiplying from left-to-right!
WIN_20230419_14_58_39_Pro.mp4Multiplying using an area model!
Multiplying using an area model!
WIN_20230421_11_30_31_Pro.mp4Strategies for Dividing Decimal Numbers:
Strategies for Dividing Decimal Numbers:
📽 Watch this video to see a tutorial on dividing decimal numbers that we covered in class!
📽 Watch this video to see a tutorial on dividing decimal numbers that we covered in class!
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