Multiply Decimals

Multiply Decimals L-2 6.NS.3

Remember… • Ignore the decimal points and multiply as usual... • Count how many total digits are on the right side of the decimal points in the factors you are multiplying... • Place the decimal point in your product (answer) so there are this many digits to the right.

Step 1: Multiply 1.2 x 5.3 --- you don’t need to line up the decimal or place values! • 1.2 • 5.3 • Reminder: We always multiply from right to left. 6 (3 x 2 = 6 ) We write down the unit, In this case 6, Under the 3

Step 2: Step 2: • 1.2 • 5.3 • We then multiply the 3 by the 1 3 6 (3 x 1 = 3) Write down the 3 next the 6

Step 3: 1 • Now we start multiplying with the 5 • 1.2 • 5.3 We multiply the 5 by the 2 Before we begin multiplying we must first place a 0 in the units column as the placeholder. 3 6 (5 x 2 = 10 ) 0 0 Again, we write down the unit and carry the tens

Step 4: 1 1.2 5.3 We multiply the 5 by the 1 3 6 6 0 0 (5 x 1 (+1) = 6 ) Again, we add the 1 carried earlier

Step 5: • 1.2 • 5.3 3 6 Now, we must add the numbers together 6 0 0 + 6 6 3

Step 6: • Finally, we need to add the decimal point to our answer. 1.2 5.3 6 3 6 For the correct decimal placement in your answer, you count how many digits are to the right of the decimal in the (factors) actual problem. 1 1 (1 + 1 = 2) There will be two digits after the decimal point in the answer. Start at the right of the answer and move left that many spaces. .

Try some of these… 19.8 55.3 25.37 9.87 0.5673 0.00489 8.29921 0.043

And a few more… 124.2 1.82 15.295 or $15.30 5.1 $142.80 $512.55 12 2.346

Additional Practice Sadlier Workbook pgs. 16 & 17 www.coolmath.com CCCS Workbook Lesson 13 (includes division)

Multiply Decimals