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To solve this problem, we'll follow these steps:
Now, let's work through each step:
The denominator of our fraction is 1000, which tells us it's in the thousandths place in decimal form.
Therefore, we need to place the number 51 in the thousandths place. Doing so gives us the decimal 0.051.
Now let's verify with choices: Among the options, 0.051 perfectly matches our calculated result.
Therefore, the solution to the problem is .
0.051
Write the following fraction as a decimal:
\( \frac{5}{100}= \)
Count the zeros in the denominator! Since 1000 has 3 zeros, your decimal answer needs exactly 3 decimal places. So becomes 0.051.
0.51 equals , not ! The extra zero in 1000 means you need one more decimal place, making it 0.051.
Same rule applies! Count the zeros: 100 has 2 zeros, so (2 decimal places).
Multiply your decimal by the original denominator: 0.051 × 1000 = 51 ✓. If you get the original numerator, your answer is right!
For example, . The decimal point moves to create exactly 3 decimal places, even if it creates a number greater than 1.
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