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

Choose 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

Choose 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

What part of the whole does the shaded (blue) area represent?

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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