Decimal Comparison: Finding Numbers Less Than 0.29

Q: Why isn't 0.3 smaller than 0.29?

0.3 equals 0.30, and 30 hundredths is greater than 29 hundredths! When comparing decimals, add zeros to make the same number of decimal places.

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

Add zeros to the right of the shorter decimal to make them equal length. For example: 0.3 becomes 0.30, then compare 0.30 vs 0.29.

Q: What's the trick to remember which decimal is smaller?

Think of money! $ 0.28 $ is 28 cents and $ 0.29 $ is 29 cents. Since 28 cents \( 0.28 .

Q: Does 0.291 being longer make it bigger than 0.29?

Not necessarily! Compare 0.291 to 0.290. The difference is only in the thousandths place: 1 > 0, so 0.291 is slightly larger, not smaller than 0.29.

Q: What if I get confused about place values?

Tenths: First digit after decimal (0.2)Hundredths: Second digit after decimal (0.29)Thousandths: Third digit after decimal (0.291)Compare from left to right!

Decimal Comparison with Hundredths Place Values

Which of the following numbers is smaller than $0.29$ .

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 First, choose the smaller number from the given numbers.

00:08 Let's start by comparing the digits of these numbers.

00:12 Look closely. We see that these two numbers are equal.

00:17 Let's move on and check the next number using the same steps.

00:21 Notice here that the digit three is greater than two. So, this number is larger.

00:26 Great! Let's apply the same method to the next pair of numbers.

00:31 Remember, you can add a zero to the right of the last digit if needed.

00:36 Here, digit one is greater than zero, making this number larger.

00:40 Now, let's examine the next number using the same method.

00:44 Here, digit eight is less than nine, so this number is smaller.

00:49 And that's how we find the solution to this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Which of the following numbers is smaller than $0.29$ .

Step-by-step solution

In order to determine the correct answer, let's compare our number with the numbers in the answers:

Observe the answers:

0.29 - Given that both numbers are equal to each other, this is not the correct answer.

0.3 - If we add 0 and compare 0.30 to 0.29, due to the fact that the tenths digit is 2 and 2 is less than 3, this is not the correct answer.

0.291 - If we add another 0 to our number and compare 0.290 to 0.291, owing to the fact that the thousandths digit is 1 and 1 is greater than 0, this is not the correct answer

0.28 - Since the hundredths digit is 8 and 8 is less than 9, this is the correct answer.

Final Answer

$0.28$

Key Points to Remember

Essential concepts to master this topic

Rule: Compare digits left to right, starting with tenths place
Technique: Add zeros if needed: 0.3 becomes 0.30 for comparison
Check: Verify by placing numbers on number line: 0.28 comes before 0.29 ✓

Common Mistakes

Avoid these frequent errors

Thinking more digits means larger number
Don't assume 0.291 > 0.29 just because it has more digits = wrong comparison! The extra digit is in thousandths place, making it 0.001 larger. Always compare place value by place value from left to right.

Practice Quiz

Test your knowledge with interactive questions

Which decimal number is greater?

FAQ

Everything you need to know about this question

Why isn't 0.3 smaller than 0.29?

0.3 equals 0.30, and 30 hundredths is greater than 29 hundredths! When comparing decimals, add zeros to make the same number of decimal places.

How do I compare decimals with different numbers of digits?

Add zeros to the right of the shorter decimal to make them equal length. For example: 0.3 becomes 0.30, then compare 0.30 vs 0.29.

What's the trick to remember which decimal is smaller?

Think of money! $0.28$ is 28 cents and $0.29$ is 29 cents. Since 28 cents < 29 cents, we know $0.28 < 0.29$ .

Does 0.291 being longer make it bigger than 0.29?

Not necessarily! Compare 0.291 to 0.290. The difference is only in the thousandths place: 1 > 0, so 0.291 is slightly larger, not smaller than 0.29.

What if I get confused about place values?

Tenths: First digit after decimal (0.2)
Hundredths: Second digit after decimal (0.29)
Thousandths: Third digit after decimal (0.291)

Compare from left to right!

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