Solve 49 + 27 Using Number Line Jump Strategy

Addition with Jump Strategy Decomposition

Solve the addition exercise using jumps on the the number line below:

49+27= 49+27=

202020111666494949

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Step-by-step written solution

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1

Understand the problem

Solve the addition exercise using jumps on the the number line below:

49+27= 49+27=

202020111666494949

2

Step-by-step solution

To solve the addition problem 49+27 49 + 27 using a number line, follow these steps:

  • Start at 49 on the number line.
  • Decompose 27 into tens and ones: 27=20+7 27 = 20 + 7 .
  • First jump 20 units forward from 49: 49+20=69 49 + 20 = 69 . Now you're at 69.
  • Next, jump 7 more units forward from 69. Break this into a jump of 6 then 1:
  • Jump 6 units: 69+6=75 69 + 6 = 75 .
  • Jump 1 more unit: 75+1=76 75 + 1 = 76 .

Thus, the final position on the number line is 76. Therefore, the solution to the addition is 76 76 .

3

Final Answer

76 76

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Decompose the second number into tens and ones
  • Technique: Break 27 into 20 + 7, then jump 49 + 20 = 69
  • Check: Count total jumps: 20 + 6 + 1 = 27 units moved ✓

Common Mistakes

Avoid these frequent errors
  • Making one large jump without decomposing
    Don't try to jump 27 units all at once = hard to visualize and count accurately! This leads to miscounting and wrong final positions. Always decompose the second number into tens and ones for easier, more accurate jumps.

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 can't I just jump 27 units in one big jump?

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While mathematically correct, one big jump is harder to visualize and count. Breaking it into smaller jumps (like 20, then 6, then 1) makes it easier to track your position accurately on the number line.

Do I have to break 7 into 6 + 1, or can I jump 7 at once?

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You can jump 7 at once if you're comfortable with it! The example shows 6 + 1 to match the visual jumps on the number line diagram, but 69+7=76 69 + 7 = 76 works perfectly too.

What if I start jumping from the wrong number?

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Always start from the first number (49 in this case). If you accidentally start from 27, you'll end up at the wrong position. Double-check your starting point before making any jumps!

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

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Since we're adding, always jump to the right (positive direction). If this were subtraction, you'd jump to the left. Addition = right, subtraction = left!

Can I break down the numbers differently?

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Absolutely! You could break 27 into 25 + 2 or 30 - 3 (jump right 30, then left 3). Choose the breakdown that feels most comfortable for you to visualize and count.

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