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Dividing Decimals Lesson 1-9
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Remember the parts of a division problem: 545 9 dividend divisor quotient
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Dividing a Decimal by a Whole Number Place the decimal point in the quotient directly above the decimal point in the dividend. Divide as you normally would (DMSCB)
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Example 512.5. DMSCBDMSCB 2 10 25 5 25 0
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Example 2 9101.52.1 9 11 1 9 25 2 18 72 8 72 0
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Dividing a Decimal by a Decimal Move the decimal point in the divisor to the right, until you get to the end of the digits. Count how many places you moved that decimal. Move the decimal point in the dividend the same number of places to the right that you moved the decimal point in the divisor.
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Example 0.36.72 one space 0367.2 New problem
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367.2 DMSCBDMSCB.2 6 07 2 6 12 4 1 2 0
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Example 2 3.22.24 3222.4. 32 x 5 160 32 x 8 256 32 x 7 224 7 0
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Example 3 0.3813.3 The decimal must be moved 2 spaces to the right. When we move this one 2 spaces, we find that we need to add a space. What will we fill it with? Answer: Fill it in with a 0. 13.3 becomes 1330 SO, our problem becomes 038 into 1330. 038 is the same as 38.
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381330 38 x 5 190 38 x 4 152 38 x 3 114 3 190 5 190 0
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Example 4 2.481.3392 248133.92
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248133.92. 248 x 5 1240 248 x 6 1488 5 124 0 992 248 x 4 992 4 0
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Terminating and Repeating Decimals A terminating decimal is a decimal that stops, or terminates. Examples: 1.25 or 0.892 A repeating decimal is a decimal that has a repeating digit or a repeating group of digits. Examples: 1.3333… or.121212121… Repeating decimals usually have a bar across the repeating portion. 2.3
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62 8 7 56 6.0. 0 7 56 4 0 0 5 40 0 Terminating decimal
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5 6.0.8 4 8 2 0 0 3 18 2 0 0 3 2 This is a repeating decimal..83
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Classwork: Show what you know about dividing decimals by trying out this site that models multiplication and division together! http://www.hbschool.com/activity/elab2004/gr6/1.ht ml Time For Homework! P. 45, 1-55 odd http://www.hbschool.com/activity/elab2004/gr6/1.ht ml
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