Multiplying Decimals 6.NS.3 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.

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 =

How to Multiply 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 5904

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 59.04 1 1 Total: 2

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. 33.12

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