Convert 3 Tens and 3 Units: Integer Representation Practice

Q: Why can't I just add 3 + 3 to get 6?

Because place value matters! The digit 3 in the tens place represents 30, while the digit 3 in the units place represents just 3. Think of it like having 3 ten-dollar bills plus 3 one-dollar bills = $33, not $6!

Q: How do I know which digit goes in which place?

Remember the place value positions from right to left: units, tens, hundreds. So 3 tens and 3 units means 3 in the tens place and 3 in the units place, giving you 33.

Q: What if I have more tens than units or vice versa?

No problem! Just follow the same process: multiply the number of tens by 10, keep the units as they are, then add them together. For example, 5 tens and 2 units = 50 + 2 = 52.

Q: What happens if I have zero in one of the places?

Zero acts as a placeholder! For example, 4 tens and 0 units would be 40. The zero shows there are no units, but you still need it to keep the 4 in the correct tens place.

Place Value Conversion with Tens and Units

Write 3 tens and 3 units as an integer.

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write 3 tens and 3 units as an integer.

Step-by-step solution

To solve this problem, we must understand the structure of numbers in the decimal system, specifically how tens and units contribute to the value of a number.

We start by calculating the value of 3 tens. In the decimal system, one ten is equivalent to 10 units, so 3 tens would be:

$3 \times 10 = 30$

Next, we calculate the total value of 3 units. In this system, one unit is simply worth its face value, so:

$3 \times 1 = 3$

To find the integer formed by 3 tens and 3 units, we add the two values together:

$30 + 3 = 33$

Thus, the integer formed by 3 tens and 3 units is $33$ .

Final Answer

$33$

Key Points to Remember

Essential concepts to master this topic

Rule: Each place value represents powers of 10 in our number system
Technique: Calculate 3 tens = 3 × 10 = 30, then add 3 units
Check: Count the digit positions: tens place has 3, units place has 3 ✓

Common Mistakes

Avoid these frequent errors

Adding tens and units without converting place values
Don't just add 3 + 3 = 6! This ignores that tens are worth 10 times more than units. The tens place represents groups of 10, not individual units. Always convert tens to their actual value (3 tens = 30) before adding units.

Practice Quiz

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FAQ

Everything you need to know about this question

Why can't I just add 3 + 3 to get 6?

Because place value matters! The digit 3 in the tens place represents 30, while the digit 3 in the units place represents just 3. Think of it like having 3 ten-dollar bills plus 3 one-dollar bills = $33, not$ 6!

How do I know which digit goes in which place?

Remember the place value positions from right to left: units, tens, hundreds. So 3 tens and 3 units means 3 in the tens place and 3 in the units place, giving you 33.

What if I have more tens than units or vice versa?

No problem! Just follow the same process: multiply the number of tens by 10, keep the units as they are, then add them together. For example, 5 tens and 2 units = 50 + 2 = 52.

Is there a quick way to write this without calculating?

Yes! You can write the digits directly in their place value positions. 3 tens and 3 units means put 3 in the tens place and 3 in the units place, giving you 33 immediately.

What happens if I have zero in one of the places?

Zero acts as a placeholder! For example, 4 tens and 0 units would be 40. The zero shows there are no units, but you still need it to keep the 4 in the correct tens place.

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