Solve the Equation: Finding the Missing Number in 95-□=87 Using Number Line

Missing Number Subtraction with Two-Jump Strategy

Solve the subtraction exercise,

using two jumps on the number line below:

95=87 95-\Box=87

878787959595

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the subtraction exercise,

using two jumps on the number line below:

95=87 95-\Box=87

878787959595

2

Step-by-step solution

To solve 95=87 95 - \Box = 87 , we will use the number line, making two jumps from 95 to 87.

First, identify the numbers on the number line:

  • Start at: 95
  • End at: 87

Step 1: Make the first jump to the next round number below 95, which is 90. Calculate this jump:

  • Jump from 95 to 90: 9590=5 95 - 90 = 5

Step 2: Make the second jump from 90 to 87. Calculate this jump:

  • Jump from 90 to 87: 9087=3 90 - 87 = 3

Add the two jumps together to find the total subtraction:

  • Total subtraction: 5+3=8 5 + 3 = 8

Therefore, the missing number is =8\Box = 8.

The correct answer is 8 8 .

3

Final Answer

8 8

Key Points to Remember

Essential concepts to master this topic
  • Setup: Transform 95=87 95 - \Box = 87 into finding the difference between 95 and 87
  • Two-Jump Method: Break 95→87 into 95→90 (subtract 5) then 90→87 (subtract 3)
  • Check: Verify 958=87 95 - 8 = 87 matches the original equation ✓

Common Mistakes

Avoid these frequent errors
  • Adding jumps in wrong direction
    Don't add 5 + 3 when moving right on number line = getting 8 but thinking it's positive! Moving from 95 to 87 goes LEFT (subtraction), so we subtract. Always remember: left jumps = subtract, and the total distance IS the missing number.

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 we use two jumps instead of one big jump?

+

Two jumps make the calculation much easier! Instead of mentally calculating 95 - 87 directly, we break it into friendly numbers like 95→90 and 90→87. This prevents counting errors.

What if the numbers don't have a nice round number in between?

+

You can still use two jumps! For example, with 83 - □ = 76, you could jump 83→80 (subtract 3), then 80→76 (subtract 4). Total: 3+4=7 3 + 4 = 7 .

How do I know which direction to jump on the number line?

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Look at your start and end numbers! Since 95 is bigger than 87, you move LEFT (toward smaller numbers). This means you're subtracting.

Can I use more than two jumps?

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Yes! You could break it into even smaller jumps if needed. The key is to add up all your jump distances to get the final answer.

What's the fastest way to check my answer?

+

Substitute back into the original equation: 958=87 95 - 8 = 87 . If both sides match, you're correct!

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