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To solve this problem, we'll convert the fraction into a decimal by performing division:
Now, let's work through these steps:
Step 1: Divide 35 by 1000.
Step 2: Performing :
This is because dividing by 1000 positions the decimal point three places to the left of 35, resulting in .
Therefore, the solution to the problem is .
0.035
Write the following fraction as a decimal:
\( \frac{1}{100}= \)
Because 1000 = 10³, which has three zeros! Each zero represents one decimal place. Dividing by 10 moves decimal left once, by 100 moves it left twice, by 1000 moves it left three times.
Every whole number has an invisible decimal point at the end! So 35 is really 35.000, and moving three places left gives you 0.035.
Division makes numbers smaller, so the decimal moves LEFT. Multiplication makes numbers bigger, so the decimal moves RIGHT. Think: smaller = left!
Yes, but it's much slower! Long division of will give the same answer, but the decimal-moving shortcut is faster for powers of ten.
You can write 0.035 or 0.0350 - both are correct! The trailing zeros don't change the value, but 0.035 is the simplest form.
Multiply your decimal answer by the original denominator: . If you get the original numerator, you're right!
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