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

Add fifty units to the number 31.

What is the resulting number?

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?

+

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?

+

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?

+

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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