Decimal Comparison: Find the Missing Symbol Between 0.655 and 0.55

Decimal Comparison with Three-Digit Numbers

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

0.655?0.55 0.655?0.55

0.550.550.550000.50.50.5111

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:09 First, let's choose the correct sign.
00:12 We'll use a number line to find two numbers.
00:16 If a number is on the left, it's smaller; on the right, it's larger.
00:20 Let's find where our number is compared to the second one.
00:28 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

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

0.655?0.55 0.655?0.55

0.550.550.550000.50.50.5111

2

Step-by-step solution

First let's look at the number 0.55.

We'll add 0.1 to it in order to get 0.655.

This can be written as follows:

0.55=0.550 0.55=0.550

Looking at the numbers after the decimal point, we can observe that:

0.655>0.550 0.655>0.550

3

Final Answer

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Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare decimals digit by digit from left to right
  • Technique: Add zeros to match lengths: 0.55 = 0.550
  • Check: 0.655 > 0.550 because 655 > 550 in thousandths place ✓

Common Mistakes

Avoid these frequent errors
  • Comparing the last digits only
    Don't just look at the final 5s in 0.655 and 0.55 = incorrect equal comparison! This ignores place value positions. Always align decimal places and compare systematically from left to right.

Practice Quiz

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Which decimal number is greater?

FAQ

Everything you need to know about this question

Why does 0.655 look bigger than 0.55 when 655 is bigger than 55?

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You're absolutely right! When comparing decimals, 655 thousandths IS greater than 550 thousandths. The key is making sure both numbers have the same decimal places by adding zeros.

Do I always need to add zeros to compare decimals?

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Adding zeros helps avoid mistakes! Writing 0.55=0.550 0.55 = 0.550 makes it clear you're comparing 655 thousandths vs 550 thousandths, which is much easier to see.

What if the numbers have different amounts of decimal places?

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Always line up the decimal points and add zeros to make them equal length. For example: 0.7 vs 0.65 becomes 0.70 vs 0.65, so 0.70 > 0.65.

How can I remember which symbol to use?

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Think of the symbols as hungry mouths - they always want to 'eat' the bigger number! So 0.655 > 0.55 because the mouth opens toward the larger number (0.655).

Can I use a number line to check my answer?

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Absolutely! On a number line, numbers get larger as you move right. Since 0.655 would be positioned to the right of 0.55, we know 0.655>0.55 0.655 > 0.55 .

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