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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level Dividing Decimals Lessons 1.8- 1.9

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Multiplying and Dividing Decimals by 10, 100, and 1,000

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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level Tips: When you multiply by 10, 100, or 1,000, you can move the decimal point to the right. The number of decimal places you move is the same as the number of zeroes you are multiplying by. When you divide by 10, 100, or 1,000, you can move the decimal point to the left. Move the decimal point once for each zero you are dividing by.

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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level 1.492 x 100 Move the decimal to the right: two spaces. 149.2

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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level 4.2 ÷ 100 Move the decimal point to the left: two spaces. Add a zero for the second space..042

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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level Remember the parts of a division problem: 545 9 dividend divisor quotient

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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level 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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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level Example 512.5. DMSCBDMSCB 2 10 25 5 25 0

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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level You Try! 9101.52. 1 9 11 1 9 25 2 18 7 2 8 72 0

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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level Dividing a Decimal by a Decimal 1.Move the decimal point in the divisor to the right, until you get to the end of the digits. 2.Count how many places you moved that decimal. 3.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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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level Example 0.36.72 one space 0367.2 New problem

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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level 367.2 DMSCBDMSCB.2 6 07 2 6 12 4 1 2 0

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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level Your Turn! 3.22.24 3222.4. 32 x 5 160 32 x 8 256 32 x 7 224 7 0

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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level 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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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level 248133.92. 248 x 5 1240 248 x 6 1488 5 124 0 992 248 x 4 992 4 0

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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level 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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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level 62 8 7 56 6.0. 0 7 56 4 0 0 5 40 0 Terminating decimal

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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level 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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Click to edit Master text styles –Second level Third level –Fourth level »Fifth level TIME FOR HOMEWORK! Classwork: Try this Decimals Cruncher game to practice dividing decimals. Use this interactive Exploring Division of Decimals to understand the relationship between Multiplication and Division of decimals.Decimals CruncherExploring Division of Decimals pg. 37-38, #2-54 evens

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