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To solve this problem, we need to convert the fraction into a decimal.
Step 1: Recognize that dividing by 1000 is equivalent to moving the decimal point three places to the left in the number 20.
Step 2: When we perform this division directly, we calculate .
Since has effectively no decimal places to begin with, we must move three places left through zero to accommodate as a divisor:
Therefore, the decimal form of is .
Checking against the choices given, the correct answer is choice 2:
0.02
.Therefore, the solution to this problem is .
0.02
Write the following fraction as a decimal:
\( \frac{5}{100}= \)
When you divide by powers of 10 (like 10, 100, 1000), you're making the number smaller, so the decimal moves left. Think of it as breaking the number into smaller pieces!
Count the zeros! 10 = 1 zero = 1 place left, 100 = 2 zeros = 2 places left, 1000 = 3 zeros = 3 places left. Easy pattern to remember!
Add zeros! Start with , then keep adding zeros as placeholders: 2.00 → 0.200 → 0.020. Zeros help you count the moves correctly.
Multiply your decimal answer by the original denominator: 0.02 × 1000 = 20. If you get the original numerator back, you're right!
Yes! Any fraction with 1000 in the denominator becomes a 3-decimal-place number. , .
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