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Therefore, 3 ÷ 0.2 = 15 Therefore, 0.6 x 0.3 = 0.18 or Therefore, 0.59 x 4.8 = 2.832 m = 32.22 n = 6.75 18 100 Multiplying Whole Numbers by Decimals Using Grids to Multiply Multiplying Decimals by Decimals Dividing Decimals by Whole Numbers Dividing a Decimal by a Decimal • Multiply as you would with whole numbers. How many 2 tenths are there in 3 wholes? There are 15 sets of 2 tenths. • Add the number of decimal places in each factor. • Place the decimal point in the product. • The 18 overlapping squares (green) that are shaded twice show the product of 0.6 x 0.3. • Multiply as you would with whole numbers. • Add the number of decimal places in each factor. • Place the decimal point in the product. • Shade 0.6 of the grid. • Shade 0.3 of the grid with a different color or pattern in the other direction. • Change the divisor and the dividend to a whole number by multiplying each by the same power of 10. • Divide as you would divide whole numbers. Add zeros as needed. • Place the decimal point in the quotient directly above the decimal point in the dividend. Bring down the ones and divide. Step 2 The answer checks if the product is the same as the dividend Multiply: 6 x 5.37 = m Multiply: 0.6 x 0.3 = n Divide: 3 ÷ 0.2 = p Divide: 5.4 ÷ 0.8 = n • multiply: 1 x 6 • subtract: 8 – 6 • compare: 2 < 4 5.37 x 6 32.22 2 decimal places 0 decimal places move decimal point 2 places + 2 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 0.5 9 4.8 4 7 2 2 3 6 0 2 8 3 2 2 decimal places 1 decimal places move decimal point 3 places + 3 2 1 7 3 x . = 5.4 0.8 54 8 x10 x10 x10 x10 54.00 6.75 6 0 5 6 – – 40 40 0 – 48 08. 5.4 0.8 54. 8. © Copyright NewPath Learning. All Rights Reserved. 93-4502 www.newpathlearning.com Multiplying & Dividing Decimals
\|xiBAHBDy01654qzZ Therefore, 3 ÷ 0.2 = 15 Therefore, 0.6 x 0.3 = 0.18 or Therefore 0.59 x 4.8 = 2.832 m = 32.22 n = 6.75 18 100 Multiplying Whole Numbers by Decimals Using Grids to Multiply Dividing Decimals by Whole Numbers • Multiply as you would with whole numbers. How many 2 tenths are there in 3 wholes? There are 15 sets of 2 tenths. • Add the number of decimal places in each factor. • Place the decimal point in the product. • The 18 overlapping squares (green) that are shaded twice show the product of 0.6 x 0.3. • Multiply as you would with whole numbers. • Add the number of decimal places in each factor. • Place the decimal point in the product. • Shade 0.6 of the grid. • Shade 0.3 of the grid with a different color or pattern in the other direction. • Change the divisor and the dividend to a whole number by multiplying each by the same power of 10. • Divide as you would divide whole numbers. Add zeros as needed. • Place the decimal point in the quotient directly above the decimal point in the dividend. Multiply: 6 x 5.37 = m Multiply: 0.6 x 0.3 = n Divide: 3 ÷ 0.2 = p Divide: 5.4 ÷ 0.8 = n 5.37 x 6 2 decimal places 0 decimal places move decimal point 2 places + 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 0.5 9 4.8 + 7 3 x = 5.4 0.8 54.00 08. 5.4 0.8 54. 8. Key Vocabulary Terms • decimal • decimal place • decimal point • divide • dividend • divisor • multiply • power of 10 • product • quotient • tenth • whole number 2 decimal places 0 decimal places move decimal point 2 places Multiplying Decimals by Decimals Dividing a Decimal by a Decimal © Copyright NewPath Learning. All Rights Reserved. 93-4502 www.newpathlearning.com Multiplying & Dividing Decimals
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