Addition with Place Value: Finding Number Pairs That Sum to 98

Place Value Addition with Two-Digit Decomposition

Which addition exercise using tens and units results in 98?

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Step-by-step written solution

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1

Understand the problem

Which addition exercise using tens and units results in 98?

2

Step-by-step solution

To solve which addition exercise using tens and units results in 98, we will proceed with these steps:

  • List the tens values we will consider: 10, 20, 30, 40, 50, 60, 70, 80, 90.
  • For each tens value, subtract it from 98 to find the corresponding units needed.
  • Verify which combination sums correctly to 98.

Let's examine each possibility:

- 10 + x x = 98 → x=9810=88 x = 98 - 10 = 88 (not a unit, so invalid)
- 20 + x x = 98 → x=9820=78 x = 98 - 20 = 78 (not a unit, so invalid)
- 30 + x x = 98 → x=9830=68 x = 98 - 30 = 68 (not a unit, so invalid)
- 40 + x x = 98 → x=9840=58 x = 98 - 40 = 58 (not a unit, so invalid)
- 50 + x x = 98 → x=9850=48 x = 98 - 50 = 48 (not a unit, so invalid)
- 60 + x x = 98 → x=9860=38 x = 98 - 60 = 38 (not a unit, so invalid)
- 70 + x x = 98 → x=9870=28 x = 98 - 70 = 28 (not a unit, so invalid)
- 80 + x x = 98 → x=9880=18 x = 98 - 80 = 18 (not a unit, so invalid)
- 90 + x x = 98 → x=9890=8 x = 98 - 90 = 8 (This works, as 8 is a unit)

Thus, the addition exercise 90+8=98 90 + 8 = 98 correctly adds to 98.

Therefore, the solution to the problem is: 90+8 90 + 8 .

The correct choice from the given options is: Choice 4: 90+8 90 + 8

3

Final Answer

90+8 90+8

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Units are single digits 0-9, tens are multiples of 10
  • Technique: Break 98 into tens and units: 90+8=98 90 + 8 = 98
  • Check: Verify both addends follow place value rules and sum correctly ✓

Common Mistakes

Avoid these frequent errors
  • Confusing single digits with place value positions
    Don't assume 8 + 9 = 98 just because these digits appear in 98! This ignores place value completely and gives 17, not 98. Always identify which number represents tens (multiples of 10) and which represents units (single digits 0-9).

Practice Quiz

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FAQ

Everything you need to know about this question

Why can't 8 + 9 equal 98 if 98 contains the digits 8 and 9?

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Great observation! While 98 contains the digits 8 and 9, that doesn't mean 8+9=98 8 + 9 = 98 . Remember that 8 + 9 = 17. In place value, we need one number representing tens and one representing units.

How do I know which number represents tens and which represents units?

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Tens are always multiples of 10 (like 10, 20, 30, 80, 90). Units are single digits from 0-9. So in 90+8 90 + 8 , 90 is the tens and 8 is the units.

What if I get confused about place value?

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Think of it like money! 90 represents 9 ten-dollar bills, and 8 represents 8 one-dollar bills. Together they make 98.Youcantmake98. You can't make 98 with just 8 one-dollar bills and 9 one-dollar bills!

Are there other ways to make 98 using tens and units?

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No! Since we need units to be a single digit (0-9), the only way is 90+8 90 + 8 . Any other combination like 80+18 80 + 18 doesn't work because 18 is not a single unit digit.

Why does 80 + 9 not work for this problem?

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Let's check: 80+9=89 80 + 9 = 89 , not 98! While 80 is a valid tens value and 9 is a valid units value, they don't add up to our target of 98.

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