Convert Decimal 7.03: Finding Equivalent Number Representations

Q: Why is 7.03 not equal to 7 and 3/10?

Because place value matters! In 7.03, the 3 is in the hundredths place, not tenths. $ \frac{3}{10} = 0.3 $, but we need $ \frac{3}{100} = 0.03 $.

Q: How do I know which denominator to use?

Count the decimal places! One place = tenths, two places = hundredths, three places = thousandths. Since 7.03 has 2 decimal places, use 100 as denominator.

Q: How do I convert the mixed number back to check?

Add the whole number and fraction: $ 7 + \frac{3}{100} = 7 + 0.03 = 7.03 $. If you get the original decimal, your answer is correct!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to mixed fraction

00:03 Break down the number into whole number and remainder

00:08 Convert the remainder to a fraction

00:13 Add to mixed fraction

00:19 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

$7.03=$

2

Step-by-step solution

To convert the decimal number $7.03$ into a mixed fraction, follow these steps:

Step 1: Identify the whole number and the decimal part.
The whole number is $7$ , and the decimal part is $0.03$ .

Step 2: Convert the decimal part to a fraction.
The decimal $0.03$ can be represented as a fraction. Since it is in the hundredths place, it is expressed as $\frac{3}{100}$ .

Step 3: Combine the whole number and the fraction.
The mixed number becomes $7 \frac{3}{100}$ .

Therefore, the correct answer is the mixed fraction $7 \frac{3}{100}$ .

3

Final Answer

$7\frac{3}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Position after decimal determines denominator for fraction conversion
Technique: 0.03 has 3 in hundredths place = $\frac{3}{100}$
Check: Convert back: $7\frac{3}{100} = 7 + 0.03 = 7.03$ ✓

Common Mistakes

Avoid these frequent errors

Confusing tenths and hundredths place values
Don't write 0.03 as $\frac{3}{10}$ = 0.3! This ignores the zero in tenths place and gives a decimal ten times larger. Always count decimal places: 0.03 has 2 places = hundredths = $\frac{3}{100}$ .

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 is 7.03 not equal to 7 and 3/10?

+

Because place value matters! In 7.03, the 3 is in the hundredths place, not tenths. $\frac{3}{10} = 0.3$ , but we need $\frac{3}{100} = 0.03$ .

How do I know which denominator to use?

+

Count the decimal places! One place = tenths, two places = hundredths, three places = thousandths. Since 7.03 has 2 decimal places, use 100 as denominator.

What if the decimal has zeros?

+

Zeros still count as decimal places! In 7.03, the zero in tenths place is important - it shows the 3 is in hundredths position. Don't ignore zeros when counting places.

Can I simplify the fraction 3/100?

+

Check if 3 and 100 share common factors. Since 3 and 100 have no common factors other than 1, $\frac{3}{100}$ is already in simplest form.

How do I convert the mixed number back to check?

+

Add the whole number and fraction: $7 + \frac{3}{100} = 7 + 0.03 = 7.03$ . If you get the original decimal, your answer is correct!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

Convert Decimal 7.03: Finding Equivalent Number Representations

Decimal-to-Fraction Conversion with Hundredths Place

❤️ Continue Your Math Journey!