Place Value Problem: Converting 9 Tens to Standard Form

Q: Why does 95 have 9 tens if it's not exactly 90?

Great question! Think of 95 as 90 + 5. The 90 part gives us exactly 9 tens, and the 5 is just 5 extra ones. So 95 definitely has 9 tens!

Q: How do I break down any number into tens and ones?

Look at the tens digit! In 95, the tens digit is 9, so there are 9 tens. The ones digit is 5, so there are 5 ones. 95 = 9 tens + 5 ones

Q: Could 89 also have 9 tens?

No! 89 only has 8 tens and 9 ones. The tens digit tells you how many complete groups of 10 you have. Since 89 has an 8 in the tens place, it only has 8 tens.

Q: What's the difference between 'tens' and the number 10?

Think of 'tens' as groups of 10. One ten = 10, two tens = 20, nine tens = 90. It's like counting by 10s!

Q: Are there other numbers with 9 tens besides 90 and 95?

91 has 9 tens + 1 one92 has 9 tens + 2 ones93 has 9 tens + 3 ones94 has 9 tens + 4 onesAny number from 90-99 contains exactly 9 tens!

Place Value Understanding with Multiple Representations

I have 9 tens.

What number could I be?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

I have 9 tens.

What number could I be?

Step-by-step solution

To solve this problem, we need to translate the term "9 tens" into a numeric value. Each "ten" represents a group of 10 units. Therefore, the phrase "9 tens" translates into:

$9 \times 10 = 90$

Thus, the number in question is 90. Now, let's examine the given answer choices:

The choice $9$ does not represent "9 tens," as it is a single digit and not a multiple of 10.
The choice $90$ represents the number with "9 tens," as our calculation showed.
The choice $95$ also is made up of "9 tens" when decomposed as $90 + 5$ . This still fits the criteria.
The fourth choice states “Answers (b) and (c) are correct,” which is true based on our exploration.

Therefore, the correct answer to this problem is that both answers (b) and (c) satisfy the problem's condition of having "9 tens."

Therefore, the correct choice is "Answers (b) and (c) are correct."

Final Answer

Answers (b) and (c) are correct.

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each 'ten' equals 10 units in standard form
Technique: Calculate $9 \times 10 = 90$ as the base value
Check: Any number with 90 + ones (like 90, 95) contains 9 tens ✓

Common Mistakes

Avoid these frequent errors

Thinking only exact multiples of 10 have tens
Don't assume only 90 has '9 tens' because it's the exact multiple = missing valid answers! Numbers like 95 also contain 9 tens (90) plus additional ones. Always recognize that any number can be decomposed into tens and ones.

Practice Quiz

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FAQ

Everything you need to know about this question

Why does 95 have 9 tens if it's not exactly 90?

Great question! Think of 95 as 90 + 5. The 90 part gives us exactly 9 tens, and the 5 is just 5 extra ones. So 95 definitely has 9 tens!

How do I break down any number into tens and ones?

Look at the tens digit! In 95, the tens digit is 9, so there are 9 tens. The ones digit is 5, so there are 5 ones. 95 = 9 tens + 5 ones

Could 89 also have 9 tens?

No! 89 only has 8 tens and 9 ones. The tens digit tells you how many complete groups of 10 you have. Since 89 has an 8 in the tens place, it only has 8 tens.

What's the difference between 'tens' and the number 10?

Think of 'tens' as groups of 10. One ten = 10, two tens = 20, nine tens = 90. It's like counting by 10s!

Are there other numbers with 9 tens besides 90 and 95?

91 has 9 tens + 1 one
92 has 9 tens + 2 ones
93 has 9 tens + 3 ones
94 has 9 tens + 4 ones

Any number from 90-99 contains exactly 9 tens!

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