Addition with Tens and Units: Finding Components of 73

Q: Why isn't 7 + 3 the right answer for 73?

Because 7 + 3 = 10, not 73! The number 73 means 7 tens plus 3 units. The digit 7 is in the tens place, so it represents 70, not just 7.

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

In a two-digit number, read from left to right. The first digit (leftmost) is always the tens place, and the second digit (rightmost) is the units place. In 73: 7 is tens, 3 is units.

Q: Can I write the addition in any order?

Yes! Addition is commutative, so $ 70 + 3 $ and $ 3 + 70 $ both equal 73. However, it's conventional to write tens first.

Q: How is this different from regular addition?

This is place value decomposition - breaking a number into its place value parts. Regular addition combines different numbers, while this shows how one number is made from its tens and units.

Place Value Addition with Two-Digit Numbers

Which addition exercise using tens and units results in 73?

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Step-by-step written solution

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Understand the problem

Which addition exercise using tens and units results in 73?

Step-by-step solution

To solve this problem, we'll consider the decimal structure of the number 73, which involves tens and units:

Step 1: Identify the tens digit in 73. The number 73 has 7 tens, corresponding to the number 70.
Step 2: Identify the units digit in 73. The number 73 has 3 units, corresponding to the number 3.
Step 3: Formulate the addition exercise using these components. The tens and units can be added as $70 + 3$ .

Thus, the addition exercise using tens and units which results in 73 is $70 + 3$ .

If we look at the provided choices, we see that choice 3 ( $70 + 3$ ) correctly represents this breakdown.

Therefore, the solution to the problem is $70 + 3$ .

Final Answer

$70+3$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Separate two-digit numbers into tens and units
Technique: For 73, identify 70 (tens place) and 3 (units place)
Check: Add components together: 70 + 3 = 73 ✓

Common Mistakes

Avoid these frequent errors

Confusing tens and units positions
Don't think 73 breaks down as 7 + 3 = just the digits alone! This ignores place value and gives only 10 instead of 73. Always remember that the first digit represents tens (7 × 10 = 70), not just 7.

Practice Quiz

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FAQ

Everything you need to know about this question

Why isn't 7 + 3 the right answer for 73?

Because 7 + 3 = 10, not 73! The number 73 means 7 tens plus 3 units. The digit 7 is in the tens place, so it represents 70, not just 7.

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

In a two-digit number, read from left to right. The first digit (leftmost) is always the tens place, and the second digit (rightmost) is the units place. In 73: 7 is tens, 3 is units.

What if the number has a zero in it, like 70?

Same rule applies! For 70, the 7 is in tens place (= 70) and 0 is in units place (= 0). So $70 + 0 = 70$ .

Can I write the addition in any order?

Yes! Addition is commutative, so $70 + 3$ and $3 + 70$ both equal 73. However, it's conventional to write tens first.

How is this different from regular addition?

This is place value decomposition - breaking a number into its place value parts. Regular addition combines different numbers, while this shows how one number is made from its tens and units.

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