Convert the Fraction 20/1000 to Decimal Form: Step-by-Step Solution

201000= \frac{20}{1000}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's change this into a decimal fraction.
00:07 First, write the numerator as a number.
00:11 Now, look at the denominator.
00:13 Since there are 3 zeros in the denominator, move the decimal point 3 places to the left.
00:23 And there you have it! That's the solution.

Step-by-step written solution

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1

Understand the problem

201000= \frac{20}{1000}=

2

Step-by-step solution

To solve this problem, we need to convert the fraction 201000\frac{20}{1000} 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 20÷100020 \div 1000.

Since 2020 has effectively no decimal places to begin with, we must move three places left through zero to accommodate 10001000 as a divisor:

20.02.000.2000.02020.0 \rightarrow 2.00 \rightarrow 0.200 \rightarrow 0.020

Therefore, the decimal form of 201000\frac{20}{1000} is 0.02\textbf{0.02}.

Checking against the choices given, the correct answer is choice 2:

0.02

.

Therefore, the solution to this problem is 0.02\textbf{0.02}.

3

Final Answer

0.02

Practice Quiz

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Write the following fraction as a decimal:

\( \frac{5}{100}= \)

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