
Multiplying decimal numbers
Presentation
•
Mathematics
•
5th Grade
•
Practice Problem
•
Medium
Standards-aligned
Erica Martin
Used 58+ times
FREE Resource
4 Slides • 8 Questions
1
Multiplying
decimal numbers
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!
Estimate your answer (check the reasonableness)
Line up the numbers from the right (leave or remove the decimals – your choice!)
Solve using long multiplication
Count the numbers after the decimal points*
Place the decimal point in front of the digits you counted in step 4
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
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
*Multiplying by 10 is easy peasy - just move the decimal over to the right one place!
4
Multiple Choice
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
one space to the left
one space to the right
two spaces to the left
two spaces to the right
5
Multiple Choice
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?
325 inches
32.5 inches
0.325 inches
0.0325 inches
6
Fill in the Blanks
Type answer...
7
Multiple Choice
How many numbers will be behind the decimal in our answer for 0.2 x 0.8?
1
2
3
4
8
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
Solve the following problem:
0.4 x 7
Use the grid if it helps!
2.8
28
0.28
280
10
Multiple Choice
Solve the following problem:
0.2 x 3.4
Use the grid if it helps!
3.6
2.34
0.68
0.36
11
Poll
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
Hitting a snag?
How can I help you better understand multiplying decimals?
Multiplying
decimal numbers
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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