Place Value Practice: Separating 97 into Tens and Units

Q: How do I remember which digit is tens and which is units?

Think of reading left to right! The left digit is always tens, and the right digit is always units. In 97, the 9 (left) is tens and 7 (right) is units.

Q: What does '9 tens' actually mean?

9 tens means 9 groups of 10, which equals 90. So when we say '9 tens and 7 units', we mean 90 + 7 = 97.

Q: Why can't I just say '97 tens'?

Because 97 tens would equal $ 97 \times 10 = 970 $, not 97! We're breaking down 97 into tens and units, not making it bigger.

Q: Is there a quick way to find tens and units?

Yes! For any two-digit number: tens digit = the left number, units digit = the right number. In 97: tens = 9, units = 7.

Q: What if I get confused during a test?

Remember the verification step: multiply your tens by 10 and add your units. If you get the original number back, you're correct!

Place Value Decomposition with Two-Digit Numbers

Separate the number 97 into units and tens.

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Separate the number 97 into units and tens.

Step-by-step solution

To decompose the number 97 into tens and units, we perform the following steps:

Step 1: Identify the tens place.
Since 97 is composed of tens, we divide it by 10: $97 \div 10 = 9.7$ . The integer part is 9, indicating 9 tens.
Step 2: Identify the units place.
To find the units, we take the remainder of the division: $97 \mod 10 = 7$ . This gives us 7 units.

Therefore, the number 97 can be separated into 9 tens and 7 units, which corresponds to choice 4:

9 tens and 7 units

Final Answer

9 tens and 7 units

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each digit's position determines its value
Decomposition Method: Divide by 10: $97 \div 10 = 9$ remainder 7
Verification: Check that 9 tens + 7 units = 90 + 7 = 97 ✓

Common Mistakes

Avoid these frequent errors

Confusing tens and units positions
Don't say '9 units and 7 tens' = wrong place values! This reverses the digit positions and shows you don't understand that the leftmost digit represents tens. Always remember: left digit = tens, right digit = units.

Practice Quiz

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FAQ

Everything you need to know about this question

How do I remember which digit is tens and which is units?

Think of reading left to right! The left digit is always tens, and the right digit is always units. In 97, the 9 (left) is tens and 7 (right) is units.

What does '9 tens' actually mean?

9 tens means 9 groups of 10, which equals 90. So when we say '9 tens and 7 units', we mean 90 + 7 = 97.

Why can't I just say '97 tens'?

Because 97 tens would equal $97 \times 10 = 970$ , not 97! We're breaking down 97 into tens and units, not making it bigger.

Is there a quick way to find tens and units?

Yes! For any two-digit number: tens digit = the left number, units digit = the right number. In 97: tens = 9, units = 7.

What if I get confused during a test?

Remember the verification step: multiply your tens by 10 and add your units. If you get the original number back, you're correct!

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