Dividing with Decimals

Slide 1: 

“DIVISION IS HARD BUT DIVIDING WHEN DECIMALS ARE INVOLVED IS EVEN HARDER. WHAT IS A PERSON TO DO?”

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FIRST: You need to know the parts of a division problem. (See next slide.)

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DIVISOR 1. 2596 ÷ 21 21 ) 2596 DIVIDEND The answer in a division problem is called the QUOTIENT Problem written horizontally

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Secondly: You need to know how to set up a division problem. This fraction can be read as 67 divided by 89. (The bar is read “divided by”). The “67” is the dividend. The “89” is the divisor and is set up like this. 89 ) 67 Problem written as a fraction

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Then: you need to solve the problem. If the problem has a remainder, instead of writing the remainder in the quotient add a decimal point and three zero’s in the dividend. (See next slide.)

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123● 619 = 123●62 21 ) 2596●000 -21 49 -42 76 -63 130 -126 40 -21 190 -189 Solve to the thousandths, round to the hundredths. D M S Example 1: Dividend and divisors are whole numbers. 1. 2596 ÷ 21

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2. 31.34 ÷ 25 25 ) 31.340 1 -25 63 2 50 134 5 -125 90 3 75 ● Solve to the thousandths round to the hundredths. D M S Example 2: Dividend is a decimal number. Divisor is a whole number. = 1.25

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3. 2 ÷ .072 .072 ) 2. . 0 0 0 ● . 0 0 0 2 -1 4 4 5 6 0 7 -5 0 4 5 6 0 7 -5 0 4 5 6 0 7 -5 0 4 5 6 0 7=27.78 -5 0 4 Solve to the thousandths, round to the hundredths. D M S Example 3: Dividend is a whole number. Divisor is a decimal number.

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Example 4: Dividend is a decimal. Divisor is a decimal. 4. 1.76 ÷ 0.367 0.3 6 7 )1.7 6 . . ● 0 0 0 0 4 -1 4 6 8 2 9 2 0 7 -2 5 6 9 9 3 5 1 0 5 -3 3 0 3 2 0 7 0 -1 8 3 5 = 4.80 D M S Solve to the thousandths, round to the hundredths.

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Now you need to practice. Which doesn’t mean using the remote!