Compare Decimals: Find the Missing Symbol Between 66.101 and 6.6101

Q: Why don't I need to look at the decimal parts here?

When the whole number parts are different, they determine the comparison! Since 66 ≠ 6, we don't need to examine .101 vs .6101 at all.

Q: What if both whole number parts were the same?

Then you'd compare decimal places from left to right. For example: 5.3 vs 5.29 → compare tenths place: 3 > 2, so 5.3 > 5.29.

Q: Does having more decimal places make a number bigger?

No! More digits doesn't mean bigger value. For example: 0.5 > 0.499999 even though the second has more decimal places.

Q: How can I remember which comparison symbol to use?

Think of the symbol as an arrow pointing to the smaller number. Since $ 66.101 > 6.6101 $, the arrow points toward 6.6101.

Decimal Comparison with Whole Number Values

Fill in the missing sign:

$66.101\text{ }_{—\text{ }}6.6101$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 First, choose the right sign to use in the problem.

00:12 Next, let's look at the digits for each number.

00:18 Now, compare the digits before the decimal point. You will see that this number is larger.

00:29 And there you have it. That's how you solve this question.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Fill in the missing sign:

$66.101\text{ }_{—\text{ }}6.6101$

Step-by-step solution

Let's compare the numbers in the following way:

We notice that before the decimal point, we have the number 66 versus the number 6

Since 66 is greater than 6, the appropriate sign is:

$66.101 > 6.6101$

Final Answer

$>$

Key Points to Remember

Essential concepts to master this topic

Rule: Compare whole number parts first before considering decimal parts
Technique: $66.101$ vs $6.6101$ : 66 > 6, so first number wins
Check: Verify by place value: 66 ones > 6 ones confirms the comparison ✓

Common Mistakes

Avoid these frequent errors

Focusing only on decimal places while ignoring whole numbers
Don't compare just .101 vs .6101 and think 6.6101 is bigger = wrong answer! This ignores that 66 is much larger than 6 in the whole number part. Always compare whole numbers first, then decimals if needed.

Practice Quiz

Test your knowledge with interactive questions

Reduce the following fraction:

$$ 0.30 $$

FAQ

Everything you need to know about this question

Why don't I need to look at the decimal parts here?

When the whole number parts are different, they determine the comparison! Since 66 ≠ 6, we don't need to examine .101 vs .6101 at all.

What if both whole number parts were the same?

Then you'd compare decimal places from left to right. For example: 5.3 vs 5.29 → compare tenths place: 3 > 2, so 5.3 > 5.29.

Does having more decimal places make a number bigger?

No! More digits doesn't mean bigger value. For example: 0.5 > 0.499999 even though the second has more decimal places.

How can I remember which comparison symbol to use?

Think of the symbol as an arrow pointing to the smaller number. Since $66.101 > 6.6101$ , the arrow points toward 6.6101.

Should I line up the decimal points when comparing?

It can help! Writing them vertically makes it easier to see:

66.101
6.6101

Now you clearly see 66 > 6 in the ones place.

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