Convert Decimal to Words: Writing 0.700 in Text Form

Q: Why does 0.700 have three decimal places if it's the same as 0.7?

The zeros are placeholders showing precision! $0.700$ and $0.7$ have the same value, but the first shows measurement to the thousandths place.

Q: How do I know what denominator to use?

Count the decimal places! One place = tenths (10), two places = hundredths (100), three places = thousandths (1000). Since 0.700 has 3 places, start with $\frac{700}{1000}$.

Q: Do I always need to simplify the fraction?

Yes, always simplify! Find the greatest common factor (GCF) of numerator and denominator. For $\frac{700}{1000}$, the GCF is 100, giving us $\frac{7}{10}$.

Q: What if I can't see how to simplify?

Start by dividing both numbers by small factors like 2, 5, or 10. For 700 and 1000, both end in zeros, so try dividing by 10 first: $\frac{700÷10}{1000÷10} = \frac{70}{100}$, then again: $\frac{7}{10}$!

Q: How can I check if my simplified fraction is correct?

Convert your simplified fraction back to a decimal! $\frac{7}{10} = 7 ÷ 10 = 0.7$, which equals 0.700. If they match, you're right!

Decimal to Fraction with Simplification

Rewrite the following decimal in words:

0.700

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Rewrite the following decimal in words:

0.700

Step-by-step solution

To solve this problem, let's follow these steps:

Step 1: Understand the decimal $0.700$ .
Step 2: Convert the decimal into a fraction based on place value.
Step 3: Simplify the fraction to match it with the choices provided.

Now, let's work through these steps:
Step 1: The decimal $0.700$ consists of three digits, $700$ after the decimal point, which are in the tenths, hundredths, and thousandths places.
Step 2: This can be initially expressed as the fraction $\frac{700}{1000}$ .
Step 3: Simplifying the fraction $\frac{700}{1000}$ by dividing both the numerator and the denominator by 100 yields $\frac{7}{10}$ .

This matches with the choice 3, which is "7 divided by 10".

Therefore, the correct solution is $7$ divided by $10$ .

Final Answer

7 divided by 10

Key Points to Remember

Essential concepts to master this topic

Place Value: Three decimal places means thousandths position
Technique: Write $0.700 = \frac{700}{1000}$ then simplify by dividing by 100
Check: Verify $\frac{7}{10} = 0.7 = 0.700$ ✓

Common Mistakes

Avoid these frequent errors

Ignoring trailing zeros when simplifying
Don't think 0.700 is different from 0.7 because of extra zeros = wrong fraction form! Trailing zeros after decimal point don't change the value. Always simplify $\frac{700}{1000}$ to $\frac{7}{10}$ by removing common factors.

Practice Quiz

Test your knowledge with interactive questions

Determine the number of tenths in the following number:

1.3

FAQ

Everything you need to know about this question

Why does 0.700 have three decimal places if it's the same as 0.7?

The zeros are placeholders showing precision! $0.700$ and $0.7$ have the same value, but the first shows measurement to the thousandths place.

How do I know what denominator to use?

Count the decimal places! One place = tenths (10), two places = hundredths (100), three places = thousandths (1000). Since 0.700 has 3 places, start with $\frac{700}{1000}$ .

Do I always need to simplify the fraction?

Yes, always simplify! Find the greatest common factor (GCF) of numerator and denominator. For $\frac{700}{1000}$ , the GCF is 100, giving us $\frac{7}{10}$ .

What if I can't see how to simplify?

Start by dividing both numbers by small factors like 2, 5, or 10. For 700 and 1000, both end in zeros, so try dividing by 10 first: $\frac{700÷10}{1000÷10} = \frac{70}{100}$ , then again: $\frac{7}{10}$ !

How can I check if my simplified fraction is correct?

Convert your simplified fraction back to a decimal! $\frac{7}{10} = 7 ÷ 10 = 0.7$ , which equals 0.700. If they match, you're right!

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