Multiplying Decimals Example 563 x 37 5 63 3 7 x 1 2 4 4 39 0 9 8 1 16 1 3 1 8 1 0 1 2 two one three You do not line up the factors by the decimal Instead place the number with more digits on top ID: 764285
Download Presentation The PPT/PDF document "Multiplying Decimals" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Multiplying Decimals
Example: 5.63 x 3.7 5.63 3.7 x 1 2 4 4 39 0 9 8 1 16 + 1 3 1 8 1 0 1 2 two one three .
You do not line up the factors by the decimal.Instead, place the number with more digits on top.Line up the other number underneath, at the right.MultiplyCount the number of decimal places (from the right) in each factor.Use the total number of decimal places in your two factors to place the decimal in your product. To Multiply:
Example: 0.53 x 2.618 2.618 has more digits (4) than 0.53 (3), so it goes on top. 2 .618 0. 53 x 4 2 5 8 1 7 0 0 4 9 0 3 13 00 0 0 0 0 + 4 5 7 1 8 3 1 Decimal Places three two five .
EXAMPLE 1 Multiplying Decimals Multiplying Decimals 5.82 0.41 2 decimal places 2 decimal places 5 8 2 2 3 2 8 4 decimal places ––– + –––––– 2.3 8 6 2 ––––––– 1 2 3 4
6.45 18 2 decimal places 0 decimal places 5160 645 –––––– 116.10 EXAMPLE 2 Multiplying Decimals ––– + –––––– After you place the decimal point, you can drop any zeros at the end of an answer. 2 decimal places Multiplying Decimals ANSWER 6.45 18 = 116.1
Write a zero before the 7 as a placeholder so that the number has 5 decimal places. 6.45 18 2 decimal places 0 decimal places 5160 645 –––––– 116.10 1.273 0.06 3 decimal places 2 decimal places 7638 0.0 5 decimal places EXAMPLE 3 Multiplying Decimals ––– + –––––– ––––––– ––– + After you place the decimal point, you can drop any zeros at the end of an answer. 2 decimal places Multiplying Decimals
Try This: 6.5 x 15.3 15.3 6.5 x 5 1 6 2 7 0 8 1 1 3 9 + 5 4 1 9 9 one one two .
Multiplication Properties Commutative Property of Multiplication: Factors can be multiplied in any order.Example: 12 x 5 = 5 x 12 Associative Property of Multiplication: Factors can be grouped in any way. Example: (2 x 3) x 5 = 2 x (3 x 5)
If a Decimal number is multiplied by 10,100, 1000 etc., the decimal shifts to the right side according to the number of Zeroes.Ex) Multiply 12. 277 x 10 = 122 .77 Ex) Multiply 132. 277 x 100 = 13227.7 Ex) Multiply 42. 587 x 10000 = 425870. 0