Write the following fraction as a decimal:
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Write the following fraction as a decimal:
Let's write the simple fraction as a decimal fraction
Since the fraction divides by 10, we'll move the decimal point once to the left and get:
We'll complete the zero before the decimal point and get:
0.1
Write the following fraction as a decimal:
\( \frac{5}{100}= \)
Both are mathematically correct, but we write 0.1 to clearly show the decimal. The zero before the decimal point helps avoid confusion and is the standard way to write decimals less than 1.
Think of it this way: dividing by 10 makes numbers smaller, so the decimal moves left. Multiplying by 10 makes numbers bigger, so the decimal moves right.
Same pattern! For 100, move the decimal 2 places left. For 1000, move it 3 places left. The number of zeros in the denominator equals the number of decimal places to move.
Yes, but it's much slower! Since 10 is a power of ten, the decimal point method is faster and less likely to cause errors.
Multiply your decimal by the original denominator: 0.1 × 10 = 1. If you get the original numerator, your answer is right!
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