Compare Decimals on Number Line: 0.69 and 0.7 Relationship

Q: Why can I add a zero to 0.7 without changing its value?

Adding zeros to the right of a decimal doesn't change its value! $ 0.7 = 0.70 = 0.700 $ - they're all equal. It's like saying 7 tenths equals 70 hundredths.

Q: How do I remember which decimal is larger?

Once you have equal decimal places, compare digit by digit from left to right. In $ 0.69 $ vs $ 0.70 $, the tenths place shows 6

Q: What if the number line doesn't show the exact decimals I need?

Use the marked points as reference points! Since 0.7 is marked and you know 0.69 left of the 0.7 mark.

Q: Is 0.69 close to 0.7?

Yes! They differ by only $ 0.70 - 0.69 = 0.01 $, which is just one hundredth. Even though they're close, 0.69 is still smaller than 0.7.

Q: Can I use this method for any decimal comparison?

Absolutely! Always equalize decimal places first, then compare digit by digit from left to right. This method works for any decimal numbers, no matter how many decimal places they have.

Decimal Comparison with Hundredths Precision

Determine the appropriate sign (?) according to the number line:

$0.69?0.7$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 First, let's set the correct sign for our problem.

00:10 We'll use a number line to locate our two numbers.

00:13 If a number is to the left of another, it's smaller. To the right, it's larger.

00:19 Let's find our number's position compared to the second number.

00:23 And that's how we solve this question!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Determine the appropriate sign (?) according to the number line:

$0.69?0.7$

Step-by-step solution

First, let's observe the number 0.7.

We'll add a 0 on the end of it to better compare it to 0.69:

$0.7=0.70$

Now, if we look at the numbers after the decimal point, we can observe that:

$0.69<0.70$

Final Answer

$<$

Key Points to Remember

Essential concepts to master this topic

Rule: Add zeros to make decimal places equal before comparing
Technique: Convert 0.7 to 0.70, then compare: 0.69 < 0.70
Check: Verify on number line: 0.69 is left of 0.7 ✓

Common Mistakes

Avoid these frequent errors

Comparing decimals without equalizing decimal places
Don't compare 0.69 and 0.7 directly by thinking "9 is bigger than 7" = wrong comparison! This ignores place value completely. Always add zeros to make equal decimal places: 0.69 vs 0.70.

Practice Quiz

Test your knowledge with interactive questions

Which decimal number is greater?

FAQ

Everything you need to know about this question

Why can I add a zero to 0.7 without changing its value?

Adding zeros to the right of a decimal doesn't change its value! $0.7 = 0.70 = 0.700$ - they're all equal. It's like saying 7 tenths equals 70 hundredths.

How do I remember which decimal is larger?

Once you have equal decimal places, compare digit by digit from left to right. In $0.69$ vs $0.70$ , the tenths place shows 6 < 7, so 0.69 < 0.70.

What if the number line doesn't show the exact decimals I need?

Use the marked points as reference points! Since 0.7 is marked and you know 0.69 < 0.70, then 0.69 must be slightly to the left of the 0.7 mark.

Is 0.69 close to 0.7?

Yes! They differ by only $0.70 - 0.69 = 0.01$ , which is just one hundredth. Even though they're close, 0.69 is still smaller than 0.7.

Can I use this method for any decimal comparison?

Absolutely! Always equalize decimal places first, then compare digit by digit from left to right. This method works for any decimal numbers, no matter how many decimal places they have.

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