Place Value Practice: Decomposing 35 into Tens and Units

Q: Which digit tells me the tens and which tells me the units?

In any two-digit number, the rightmost digit is always units (ones), and the digit to its left is tens. In 35, the 5 is in the units place and 3 is in the tens place.

Q: How do I remember which is which?

Think of it like reading from right to left: units come first, then tens. You can also remember that units are individual items, while tens are groups of 10.

Q: What if the number has a zero in it, like 30?

The same rules apply! In 30, there are 3 tens and 0 units. The zero in the units place means no individual ones, just complete groups of ten.

Q: Can I use division to find tens and units?

Yes! Divide by 10 to find tens, and the remainder tells you the units. For 35: $ 35 \div 10 = 3 $ remainder 5, so 3 tens and 5 units.

Place Value Decomposition with Two-Digit Numbers

How many units and tens are needed to make the number 35?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

How many units and tens are needed to make the number 35?

Step-by-step solution

To solve this problem, let's break down each step:

Step 1: Identify the tens in 35. We do this by dividing 35 by 10. So, $35 \div 10 = 3$ with a quotient of 3. This means there are 3 tens. The remainder tells us how many units are left.
Step 2: Find the number of units. The remainder from the division is $35 \mod 10 = 5$ . This indicates there are 5 units.

Now, let's confirm our solution: 3 tens mean $3 \times 10 = 30$ and adding 5 units results in $30 + 5 = 35$ . Therefore, the number 35 is correctly expressed as 3 tens and 5 units.

Consequently, the solution to the problem is five units and three tens.

Final Answer

Five units and three tens

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Tens digit shows groups of 10, units digit shows individual ones
Technique: Divide by 10: $35 \div 10 = 3$ remainder 5
Check: Verify: $3 \times 10 + 5 = 30 + 5 = 35$ ✓

Common Mistakes

Avoid these frequent errors

Reversing the tens and units positions
Don't say 35 has 5 tens and 3 units = 53 instead of 35! Students often confuse which digit represents tens versus units. Always remember the rightmost digit is units, and the digit to its left is tens.

Practice Quiz

Test your knowledge with interactive questions

What number do the blue squares below represent?

FAQ

Everything you need to know about this question

Which digit tells me the tens and which tells me the units?

In any two-digit number, the rightmost digit is always units (ones), and the digit to its left is tens. In 35, the 5 is in the units place and 3 is in the tens place.

How do I remember which is which?

Think of it like reading from right to left: units come first, then tens. You can also remember that units are individual items, while tens are groups of 10.

What if the number has a zero in it, like 30?

The same rules apply! In 30, there are 3 tens and 0 units. The zero in the units place means no individual ones, just complete groups of ten.

Can I use division to find tens and units?

Yes! Divide by 10 to find tens, and the remainder tells you the units. For 35: $35 \div 10 = 3$ remainder 5, so 3 tens and 5 units.

How do I check if my answer is right?

Multiply your tens by 10, then add your units. If you get the original number, you're correct! For example: $3 \times 10 + 5 = 35$ ✓

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