1. Multiplying Decimals
Multiply and divide decimals and fractions, using efficient and generalizing procedures, including standard algorithms.

2. I can… Multiply decimals by decimals Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

3. Multiply Decimals The Area Model
= 1
= 0.1
= 0.01
You can model the multiplication of decimals by using an area model.
Let’s try 0.2 x 0.6

4. Multiply Decimals The Area Model
0.2 x 0.6 =
0.12
Model 0.2 on the grid.
Model 0.6 on the grid.
Your answer is the sum of the overlapped squares.

5. Multiply Decimals The Area Model
0.1 x 0.7 =
0.07
Model 0.1 on the grid.
Model 0.7 on the grid.
Your answer is the sum of the overlapped squares.

6. Multiplying Decimals!!! NO need to line up decimal points!!!!!
When multiplying a decimals, multiply as normal
Then count the number of decimal places and hop to the left
Add zeros if needed!!!!!

7. Remember…. When decimal is out of sight, it is always to the right!
Standard Algorithm
Remember…. When decimal is out of sight, it is always to the right!
Example: Find 5.08 x 2.1
5.08 x
508
10160
10668
There are 3 digits to the right of the decimal point. . .
Count the same number of places from right to left.

8. Remember…. When decimal is out of sight, it is always to the right!
Standard Algorithm
Remember…. When decimal is out of sight, it is always to the right!
Example: Find x 0.03
1.159 x
3477
There are 5 digits to the right of the decimal point. . .
Count the same number of places from right to left.
We need to add a zero in the product as a placeholder so that the decimal is moved over 5 spaces!!

9. Remember…. When decimal is out of sight, it is always to the right!
Your Turn…
Remember…. When decimal is out of sight, it is always to the right!
Example: Find 2.15 x 5.4
2.15 x
860
10750
11610
There are 3 digits to the right of the decimal point. . .
Count the same number of places from right to left.

10. Remember…. When decimal is out of sight, it is always to the right!
Standard Algorithm
Remember…. When decimal is out of sight, it is always to the right!
Example: Find 0.86 x 0.04
0.86 x
744
There are 4 digits to the right of the decimal point. . .
Count the same number of places from right to left.
We need to add a zero in the product as a placeholder so that the decimal is moved over 5 spaces!!

11. I can… Multiply decimals by decimals Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

12. in your math notebook Daily Check 4.3 0.6 x 0.8 3.08 x 4.7
A square has a side that is 0.31 meters long. Find the area of the square in meters squared.