# Multiplying & Dividing Decimals

## Mathematics, Grade 4

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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