Solve 74 - 8 Using Two Jumps on a Number Line

Subtraction with Two-Step Number Line

Solve the subtraction exercise,

using two jumps on the number line below :

748= 74-8=

444444747474

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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 :

748= 74-8=

444444747474

2

Step-by-step solution

To solve the subtraction problem 748 74 - 8 using two jumps on a number line, we will follow these steps:

  • Step 1: Identify the starting point and first jump length.
  • Step 2: Calculate the intermediate result after the first jump.
  • Step 3: Determine the remaining amount to subtract and make the second jump.
  • Step 4: Calculate the final result after the second jump.

Now, let's work through each step:

Step 1: Start at 74. We need to subtract 8 in total. We begin by subtracting 4.

Step 2: From 74, subtract 4 to get the intermediate value. 744=70 74 - 4 = 70 .

Step 3: Subtract the remaining 4 (totaling 8) from the intermediate value of 70. Thus, 704=66 70 - 4 = 66 .

Therefore, the final result of 748 74 - 8 is 66 66 .

3

Final Answer

66 66

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break subtraction into two smaller jumps for easier calculation
  • Technique: Split 8 into 4 + 4, then subtract each part: 74 - 4 - 4
  • Check: Verify by adding back: 66 + 4 + 4 = 74 ✓

Common Mistakes

Avoid these frequent errors
  • Making unequal jumps that don't add to the original subtraction
    Don't split 8 into random numbers like 5 + 2 = wrong total! This gives incorrect intermediate steps and confusing calculations. Always make sure your jump amounts add up to exactly the number you need to subtract.

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 can't I just subtract 8 all at once?

+

You absolutely can! The two-jump method is just a strategy to make subtraction easier by breaking it into smaller, more manageable steps. It's especially helpful with larger numbers.

How do I decide how to split the number I'm subtracting?

+

Look for friendly numbers that are easy to work with! For subtracting 8, you could use 4+4, or 5+3, or even 10-2. Choose what feels most comfortable to you.

What if I make different sized jumps?

+

That's perfectly fine! You could do 74 - 6 = 68, then 68 - 2 = 66. As long as your jumps add up to 8 total, you'll get the right answer.

Do both jumps have to be the same size?

+

Not at all! The example uses 4+4 4 + 4 for simplicity, but you could use any combination that adds to 8, like 3+5 3 + 5 or 1+7 1 + 7 .

How can I check if my two jumps are correct?

+

Add up your jump amounts: they should equal the original number you're subtracting. Then add your answer back to the original number to verify: 66+8=74 66 + 8 = 74

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