Decimal Multiplication Techniques
Learn how to multiply decimals effectively using key techniques like placing the numbers with more digits on top, counting decimal places, and applying properties of multiplication. Explore practical examples and understand how to shift decimals when multiplying by powers of 10.
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Presentation Transcript
1 4 2 5.63 3.7 4 39 8 16 8 0 2 . two x 1 one 1 1 0 1 1 + 9 3 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. Multiply Count 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.
2.618 has more digits (4) than 0.53 (3), so it goes on top. 3 4 Decimal Places 1 2 2.618 0.53 8 7 9 0 13 0 0 0 8 3 1 . three x two 1 5 0 00 5 4 0 + 0 7 4 five
Multiplying Decimals EXAMPLE1 Multiplying Decimals 5.82 0.41 2 decimal places 2 decimal places + 582 2328 2.3862 4 decimal places 1 2 3 4
Multiplying Decimals EXAMPLE2 Multiplying Decimals 6.45 18 5160 645 116.10 2 decimal places 0 decimal places + 2 decimal places After you place the decimal point, you can drop any zeros at the end of an answer. ANSWER 6.45 18 = 116.1
Multiplying Decimals EXAMPLE3 Multiplying Decimals 1.273 0.06 7638 0.0 6.45 18 5160 645 116.10 3 decimal places 2 decimal places 2 decimal places 0 decimal places + + 5 decimal places 2 decimal places Write a zero before the 7 as a placeholder so that the number has 5 decimal places. After you place the decimal point, you can drop any zeros at the end of an answer.
3 1 2 1 15.3 6.5 6 7 8 1 4 9 . one x one 1 5 0 5 + 9 9 two
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. 122.77 Ex) Multiply 12. 277 x 10 = 13227.7 Ex) Multiply 132. 277 x 100 = 425870. Ex) Multiply 42. 587 x 10000 = 0
