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Fractions & Decimals

Fractions & Decimals

Visualizing Decimals

Decimals can be a less intimidating way of writing fractions. The denominators for all decimals are based on powers of ten (ten, hundred, thousand, ten thousand, etc.).

For example, five tenths can be written as 0.5 or 5/10

Seventy-eight hundredths can be written as 0.78 or 78/100

One hundred twenty-five thousandths can be written as 0.125 or 125/1000

When visualizing what a decimal would look like, instead of breaking an object into thirds or fifths, break it into tenths, hundredths, thousandths, etc.

Here is 1 + 5/10 + 7/100, or 1.57:

Blue Squares

Here is 1 + 3/10 + 9/10, or 2.39:

Blue Square 2.39

We could represent 67/100 (aka 0.67) two ways:

Blue Squares 67/100

Another trick: try visualizing the fraction as money. You could visualize 0.67 as 67 pennies or 6 dimes and 7 pennies.

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