6NS3 Fluently add subtract multiply and divide multi digit decimals using algorithms for each operation Product The product is the answer when two or more numbers are multiplied together ID: 592257
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Slide1
Multiplying Decimals
6.NS.3
Fluently add, subtract, multiply and divide multi digit decimals using algorithms for each operation.Slide2
Product
The product is the answer when two or more numbers are
multiplied
together. Slide3
Different Problem, Same Answer
How could I write the following addition sentence as a multiplication sentence?
1.7 + 1.7 + 1.7 =
1.7 x 3=
2.04 + 2.04 + 2.04 + 2.04
2.04 x 4 =Slide4
How to M
ultiply Decimals
1. Line up the numbers vertically just like multiplying whole numbers.
12.3
X 4.8
2. Multiply the two numbers, ignoring the decimal points for now.
12.3
X 4.8
984
4920
5904Slide5
How to Multiply Decimals
3. Once the answer is reached, the decimal has to be placed in the product.
a. Count the total number of digits behind the decimal in both numbers.
b. From the right side of the product, count from the left the number of decimal places.
c. Place the decimal in the product.
a.
12.3 X 4.8 984 + 4920 5904 b. 12.3 X 4.8 5904 c. 12.3 X 4.8 59.04
1
1
Total: 2Slide6
Practice:
36.8 x 0.9
36.8
x 0.9
3312
There are two total digits to the right of the decimal, so we need to move our decimal to the left two times.
33.12Slide7
Practice
2) 5.6 x 0.42
5.6
X .4 2
112
2240
2.352
3) 49.19 x 2.71
4 9.1 9
x 2.7 1
4 9 1 9 3 4 4 3 3 0 9 8 3 8 0 0 1 3 3 .3 0 4 9