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We know the value of a digit changes with its position in a number relative to the decimal point. Before the decimal we have units, tens and hundreds, and after we have tenths, hundredths and thousandths. We also use place holders. Zeros at the end of a number are place holders. They come after another number, a 1 for example, to show whether it is worth 10, 100 or 1,000.
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So 300 x 10 = 3,000
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So 300 divided by 100 = 3
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0s at the start or end of a number are place holders
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To divide by 10 move the decimal point one place to the left or the numbers one place to the right
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To multiply by 100 move the decimal point two places to the right or the numbers two places to the left
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Numbers to the right of a decimal point represent 10ths 100ths 1,000ths 10,000ths etc...
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The first column after the decimal point is tenths so the 9 = 9⁄10
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142.87 has 1 hundred
4 tens 2 units 8 tenths and 7 hundredths |
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45 hundredths is equal to 0.45
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The 1 and the 8 are both in the hundredths column so 7⁄100 or 0.07 must be added
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