Solve the Equation: Finding Missing Number in 87 + □ = 92

Addition Equations with Number Line Strategy

Solve the following equation,

using two jumps on the number line below:

87+=92 87+\Box=92

878787929292

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation,

using two jumps on the number line below:

87+=92 87+\Box=92

878787929292

2

Step-by-step solution

To solve the problem of 87+=92 87 + \Box = 92 by using two jumps on the number line, we begin by identifying and making our jumps:

  • First jump: Move from 87 to the nearest round number, which is 90. This jump is of size 9087=3 90 - 87 = 3 .
  • Second jump: Now move from 90 to 92. This jump is of size 9290=2 92 - 90 = 2 .

Add the two jumps together:
First jump: 3
Second jump: 2
Total jump: 3+2=5 3 + 2 = 5

Therefore, the value of the box (\Box) that satisfies the equation 87+=92 87 + \Box = 92 is =5 \Box = 5 .

3

Final Answer

5 5

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break the jump into two smaller steps using round numbers
  • Technique: Jump to 90 first (3 units), then to 92 (2 units)
  • Check: Verify 87 + 5 = 92 by counting forward 5 spaces ✓

Common Mistakes

Avoid these frequent errors
  • Counting the distance incorrectly on the number line
    Don't count the starting point as 1 when measuring distance = getting 6 instead of 5! This adds an extra unit that doesn't exist. Always count the spaces between numbers, not the dots themselves.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

Why do I need to use two jumps instead of one?

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Using two jumps makes the math easier! Jumping to a round number like 90 first helps you calculate mentally without mistakes. One big jump from 87 to 92 is harder to visualize.

What if I get confused about which direction to jump?

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Since we're adding and 92 is bigger than 87, always jump to the right on the number line. Addition means moving forward (right), subtraction means moving backward (left).

Can I use different round numbers for my first jump?

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Yes! You could jump to 88, 89, or 91 first, but 90 is easiest because it's the nearest round number. This makes the mental math simpler.

How do I know my two jumps add up correctly?

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Add your jump sizes together: 3+2=5 3 + 2 = 5 . Then check: 87+5=92 87 + 5 = 92 . If both equal the target number, you're correct!

What does the box represent in the equation?

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The box ( \Box ) represents the unknown number we need to find. It's asking: what number do we add to 87 to get 92? The answer is the total distance of our jumps.

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