Decimal Comparison: Finding the Largest Value of 0.7

Q: Why is 0.7 equal to 0.70 but not to 0.699?

Adding trailing zeros after the decimal doesn't change the value: 0.7 = 0.70 = 0.700. But 0.699 has a 6 in the tenths place while 0.7 has a 7, making 0.7 larger!

Q: How do I compare decimals with different numbers of digits?

Line them up by place value and add zeros to make them the same length. Then compare digit by digit from left to right, starting with the tenths place.

Q: What's the difference between 0.7 and 0.70?

There's no difference - they're exactly equal! The zero at the end doesn't change the value, it just shows precision to the hundredths place.

Q: Why can't I just count the decimal places to find the bigger number?

More decimal places doesn't mean bigger! 0.699 has three decimal places but is smaller than 0.7. Always compare the actual place values, not the number of digits.

Q: How can I remember which decimal is larger?

Line up the decimal pointsAdd zeros to make equal lengthsCompare from left to rightThe first different digit determines which is larger

Decimal Comparison with Place Value Analysis

Choose the number that is larger then $0.7$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Choose the larger number from the given number

00:03 Let's compare the digits of the numbers

00:07 We can always add 0 to the right side of the last digit

00:10 The digit 6 is less than 7, therefore the number is smaller

00:15 Let's check the next number using the same method

00:22 The digit 6 is less than 7, therefore the number is smaller

00:27 Let's check the next number using the same method

00:32 We can see that the numbers are equal

00:35 Let's check the next number using the same method

00:39 The digit 1 is greater than 0, therefore the number is larger

00:43 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 that is larger then $0.7$

Step-by-step solution

In order to know what the correct answer is, first let's add 0 to the number in the following way:

$0.7=0.70$

Let's look at the answers:

0.699 - If we add another 0 to our number and compare between 0.700 and 0.699, since the tenths digit is 6 and 6 is less than 7, this is not the correct answer.

0.69 - Since the tenths digit is 6 and 6 is less than 7, this is not the correct answer.

0.70 - Since both numbers are equal to each other, this is not the correct answer.

0.71 - Since the hundredths digit is 1 and 1 is greater than 0, this is the correct answer.

Final Answer

$0.71$

Key Points to Remember

Essential concepts to master this topic

Rule: Compare decimals by examining each place value from left to right
Technique: Add zeros to match decimal places: 0.7 = 0.70 for easier comparison
Check: Verify by converting to fractions: 0.71 = 71/100 > 70/100 = 0.7 ✓

Common Mistakes

Avoid these frequent errors

Thinking more digits means larger number
Don't assume 0.699 > 0.7 because it has more digits = wrong comparison! The number of decimal places doesn't determine size. Always compare place values starting from the tenths place.

Practice Quiz

Test your knowledge with interactive questions

Which decimal number is greater?

FAQ

Everything you need to know about this question

Why is 0.7 equal to 0.70 but not to 0.699?

Adding trailing zeros after the decimal doesn't change the value: 0.7 = 0.70 = 0.700. But 0.699 has a 6 in the tenths place while 0.7 has a 7, making 0.7 larger!

How do I compare decimals with different numbers of digits?

Line them up by place value and add zeros to make them the same length. Then compare digit by digit from left to right, starting with the tenths place.

What's the difference between 0.7 and 0.70?

There's no difference - they're exactly equal! The zero at the end doesn't change the value, it just shows precision to the hundredths place.

Why can't I just count the decimal places to find the bigger number?

More decimal places doesn't mean bigger! 0.699 has three decimal places but is smaller than 0.7. Always compare the actual place values, not the number of digits.

How can I remember which decimal is larger?

Line up the decimal points
Add zeros to make equal lengths
Compare from left to right
The first different digit determines which is larger

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