Convert 0.07 into a fraction.
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Convert 0.07 into a fraction.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The given decimal is 0.07. The digit 7 is in the hundredths place, which indicates that the denominator should be 100.
Step 2: We write 0.07 as a fraction: .
Step 3: Check for simplification. The fraction is already in its simplest form since 7 is a prime number and cannot be divided further by 100.
Thus, the fraction form of 0.07 is .
Considering the multiple-choice options:
Therefore, the correct answer is , corresponding to choice 3.
Write the following fraction as a decimal:
\( \frac{5}{100}= \)
Look at the rightmost digit's place value! If it's in the tenths place, use 10. If it's in the hundredths place (like 0.07), use 100. If it's in the thousandths place, use 1000.
Because equals 0.7, not 0.07! The zero after the decimal point matters - it shows that 7 is in the hundredths place, not the tenths place.
Check if you can! For , since 7 is prime and doesn't divide into 100, it's already in simplest form.
Write out the place value chart: tenths, hundredths, thousandths. Count the decimal places from left to right. 0.07 has the 7 in the second place = hundredths = 100.
Divide the numerator by denominator: 7 ÷ 100 = 0.07. If this matches your original decimal, you're correct!
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