Convert Fraction to Decimal: Finding the Equivalent of 19/1000

Q: What if I don't have enough digits to move left?

Add leading zeros as placeholders! For $ \frac{19}{1000} $, you need: 19.0 → 019.0 → 0019.0 → 0.019

Q: Do I need to keep the trailing zero in 0.0190?

No! Trailing zeros after the decimal point don't change the value. 0.019 = 0.0190, so you can drop the final zero.

Q: How can I check my answer without multiplying?

Think about place value! $ \frac{19}{1000} $ means 19 thousandths. In 0.019, the 9 is in the thousandths place and 1 is in the hundredths place = 19 thousandths total.

Q: What's the difference between 0.19 and 0.019?

0.19 = 19 hundredths while 0.019 = 19 thousandths. One thousandth is much smaller than one hundredth! Always count decimal places carefully.

Decimal Conversion with Thousandths Place

Circle the number equal to $\frac{19}{1000}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

00:03 When the denominator equals 1000, the numerator is the decimal number

00:09 When dividing by 1000, the decimal point moves 3 places to the left

00:18 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Circle the number equal to $\frac{19}{1000}$

Step-by-step solution

Let's write the simple fraction as a decimal fraction:

$19.0$

Since the fraction divides by 1000, we move the decimal point three places to the left:

$.0190$

We'll add a zero before the decimal point and get:

$0.0190=0.019$

Final Answer

0.019

Key Points to Remember

Essential concepts to master this topic

Rule: Denominator 1000 means move decimal three places left
Technique: Start with 19.0 and move decimal: 19.0 → 0.019
Check: Multiply back: 0.019 × 1000 = 19 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point right when converting fractions to decimals = answer 100 times too big! Division by 1000 makes numbers smaller, not larger. Always move the decimal point left when the denominator is a power of 10.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

Why do I move the decimal point three places for 1000?

The number of zeros in the denominator tells you how many places to move! 1000 has 3 zeros, so move 3 places left. Similarly, 100 has 2 zeros = move 2 places left.

What if I don't have enough digits to move left?

Add leading zeros as placeholders! For $\frac{19}{1000}$ , you need: 19.0 → 019.0 → 0019.0 → 0.019

Do I need to keep the trailing zero in 0.0190?

No! Trailing zeros after the decimal point don't change the value. 0.019 = 0.0190, so you can drop the final zero.

How can I check my answer without multiplying?

Think about place value! $\frac{19}{1000}$ means 19 thousandths. In 0.019, the 9 is in the thousandths place and 1 is in the hundredths place = 19 thousandths total.

What's the difference between 0.19 and 0.019?

0.19 = 19 hundredths while 0.019 = 19 thousandths. One thousandth is much smaller than one hundredth! Always count decimal places carefully.

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