Solve the Equation: Finding the Missing Number in 82-□=78

Number Line Subtraction with Two-Jump Strategy

Solve the subtraction exercise,

using two jumps on the number line below:

82−□=78 82-\Box=78

787878828282

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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:

82−□=78 82-\Box=78

787878828282

2

Step-by-step solution

To solve the subtraction 82−□=78 82 - \Box = 78 using jumps on a number line, follow these steps:

  • Step 1: Start at the number 82 on the number line.
  • Step 2: Make the first small jump down to 80, the closest round number below 82.
  • Step 3: Calculate the size of this jump. The jump from 82 to 80 is 82 - 80 = 2.
  • Step 4: From 80, make a second jump down to 78.
  • Step 5: Calculate the size of this second jump. The jump from 80 to 78 is 80 - 78 = 2.
  • Step 6: Add the sizes of both jumps to determine the total subtracted value: 2 + 2 = 4.

Therefore, the value of □\Box in the subtraction problem 82−□=78 82 - \Box = 78 is 4 4 .

3

Final Answer

4 4

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break subtraction into two smaller jumps on number line
  • Technique: Jump 82→80 (subtract 2), then 80→78 (subtract 2)
  • Check: Add jump sizes: 2 + 2 = 4, verify 82 - 4 = 78 ✓

Common Mistakes

Avoid these frequent errors
  • Making one large jump instead of breaking it down
    Don't try to jump directly from 82 to 78 in one step = harder mental math and more errors! This makes it difficult to visualize and calculate accurately. Always break larger subtractions into smaller, manageable jumps using round numbers.

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?

+

Two jumps make the math easier and reduce mistakes! By jumping to a round number like 80 first, you're using friendly numbers that are simpler to work with mentally.

How do I know which round number to jump to first?

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Look for the closest round number (like 80, 90, 100) between your starting point and ending point. From 82 to 78, the number 80 is right in the middle and easy to work with!

What if the jumps aren't equal like 2 and 2?

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That's totally fine! Your jumps can be any size. For example, you could jump 82→79 (subtract 1), then 79→78 (subtract 1). Just make sure to add all your jump sizes at the end.

Can I solve this without a number line?

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Yes! You can think: 82−□=78 82 - \Box = 78 means □=82−78=4 \Box = 82 - 78 = 4 . But the number line helps you visualize the subtraction and understand what's happening step by step.

How do I check if my answer is correct?

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Substitute your answer back into the original equation: 82−4=78 82 - 4 = 78 . If both sides are equal, you've got it right! You can also add backwards: 78+4=82 78 + 4 = 82 ✓

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