Solve 34 + 47 Using Number Line Jumps: Step-by-Step Addition

Number Line Addition with Decomposition Strategy

Solve the addition exercise,

using jumps on the the number line below:

34+47= 34+47=

404040666111343434

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the addition exercise,

using jumps on the the number line below:

34+47= 34+47=

404040666111343434

2

Step-by-step solution

To solve the addition problem 34+47 34 + 47 using a number line, we'll follow these steps:

  • Step 1: Start at the number 34 on the number line.
  • Step 2: Add the tens from 47, which is 40. This takes us from 34 to 74.
  • Step 3: Add the units from 47, which is 7. This takes us from 74 to 81.

Here's the detailed breakdown of each step:

Step 1: We start at 34.

Step 2: We add 40 (the tens from the number 47):
Adding 40 to 34 gives us 34+40=74 34 + 40 = 74 .

Step 3: We add 7 (the units from the number 47):
Adding 7 to 74 gives us 74+7=81 74 + 7 = 81 .

Therefore, the sum of 34+47 34 + 47 is 81 81 .

Thus, the final answer is 81 \textbf{81} , which corresponds to choice 3 in the given multiple-choice options.

3

Final Answer

81 81

Key Points to Remember

Essential concepts to master this topic
  • Rule: Break the second number into tens and ones for easier jumping
  • Technique: Start at 34, jump +40 to reach 74, then +7 to reach 81
  • Check: Count total jumps: 40 + 7 = 47, so 34 + 47 = 81 ✓

Common Mistakes

Avoid these frequent errors
  • Adding ones place first instead of tens place
    Don't start with 34 + 7 = 41 then add 40 = wrong calculation order! This makes larger jumps harder to track and increases errors. Always add the tens first (34 + 40 = 74), then add the ones (74 + 7 = 81).

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 should I break 47 into 40 + 7 instead of adding it all at once?

+

Breaking numbers into tens and ones makes jumps easier to visualize and count! Large jumps like +47 are hard to track accurately, but +40 and +7 are manageable steps.

What if I want to add the 7 first, then the 40?

+

You can do that since addition is commutative! However, adding tens first is usually easier because larger jumps are simpler when you start from round numbers.

How do I know where to place each jump on the number line?

+

Start at your first number (34), then make equal-sized jumps. For +40, make 4 jumps of 10 each. For +7, make 7 single jumps or count forward 7 spaces.

Can I use this method for any addition problem?

+

Yes! This decomposition strategy works for all addition. Break the second number into place values (hundreds, tens, ones) and add each part step by step.

What if my number line doesn't show all the numbers I need?

+

You can still use the jumping strategy mentally! Count the jumps even if specific numbers aren't marked. The important part is understanding the size of each jump.

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