Solve for the Missing Number: 48 + □ = 83 Using Number Line

Missing Addends with Two-Step Number Line

Solve the addition exercise,

using two jumps on the number line below:

48+=83 48+\Box=83

484848838383

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the addition exercise,

using two jumps on the number line below:

48+=83 48+\Box=83

484848838383

2

Step-by-step solution

To solve the problem 48+=83 48 + \Box = 83 , we need to find the missing value that, when added to 48, equals 83. We'll visualize this using the number line and break this addition into two steps:

  • Step 1: Start at 48. For simplicity, make the first jump to 50 (an easy round number that's close to 48). This jump is 2 2 units: 48+2=50 48 + 2 = 50 .
  • Step 2: Now, calculate the remaining distance to 83 from 50. This distance is 33 33 because 50+33=83 50 + 33 = 83 .

By taking these two jumps, first adding 2 and then adding 33, the total addition is:

2+33=35 2 + 33 = 35 .

Therefore, the missing addend in 48+=83 48 + \Box = 83 is 35 35 .

3

Final Answer

35 35

Key Points to Remember

Essential concepts to master this topic
  • Subtraction Strategy: Find missing addends by subtracting: 83 - 48 = 35
  • Two-Jump Method: Break into easier steps: 48 + 2 = 50, then 50 + 33 = 83
  • Verification: Check by adding: 48 + 35 = 83 matches the target ✓

Common Mistakes

Avoid these frequent errors
  • Making unequal jumps that don't total the missing addend
    Don't make random jumps like +10 and +20 without checking if they add to 35! This gives you the wrong path on the number line. Always ensure your two jumps add up to the missing number: 2 + 33 = 35.

Practice Quiz

Test your knowledge with interactive questions

If we have 85 blocks in total, how many blocks will remain if we remove 4 tens and 1 one?

FAQ

Everything you need to know about this question

Why do we need exactly two jumps on the number line?

+

The problem specifically asks for two jumps to practice breaking larger additions into smaller, easier steps. This builds mental math skills!

Can I make different jumps than +2 and +33?

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Absolutely! You could jump +5 then +30, or +10 then +25. As long as your two jumps add up to 35 total, you'll reach 83 correctly.

How do I know what the first jump should be?

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Choose a jump that gets you to a round number like 50, 60, or 80. This makes the second jump easier to calculate! From 48, jumping +2 to reach 50 is very convenient.

What if I can't see the missing number right away?

+

Use subtraction first: 8348=35 83 - 48 = 35 . Once you know the missing addend is 35, then decide how to split it into two convenient jumps.

Is this the same as solving 48 + □ = 83?

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Yes! The number line method is just a visual way to solve the same equation. Whether you subtract or use jumps, the answer is always 35.

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