Multiplying and Dividing Decimals Using Powers of Ten

Multiplying and Dividing Decimals by Powers of Ten










































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Week of August 21

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This week we began working on multiplying and dividing whole numbers by a power of ten.  Our number system is in BASE 10, which means every place value is a multiple of 10.  10 ones make 1 ten, 10 tens makes 1 hundred, 10 hundreds makes 1 one thousand...etc. As students multiply and divide by a power of ten, they begin to understand place value. For background, please watch this Khan Academy video. This video also illustrates powers of ten.
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Comparing Decimals

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Comparing Decimals When comparing decimals, students must understand greater than and less than.  Sometimes a number line can help. Reading Symbols < - is less than > - is greater than = - is equal to 0.5  ____ 0.7 0.5    <   0.7 0.5 is less than 0.7 Steps 1. Line up the decimals. 2. Fill in any missing digits with 0s. 3. Compare starting with the LARGEST place value on the left. Examples 1.34 _____ 10.3 Step 1:   1.34 10.3 Step 2: 0 1.34 10.3 0 Step 3: 0 1.34 1 0.30 1.34 < 10.3
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