Solve the Addition Equation: Finding the Missing Number in 15 + □ = 37

Addition Equations with Number Line Decomposition

Solve the addition exercise,

using two jumps on the number line below:

15+=37 15+\Box=37

151515373737

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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 two jumps on the number line below:

15+=37 15+\Box=37

151515373737

2

Step-by-step solution

To solve the given problem, we need to find the missing number that, when added to 15, equals 37. We'll use a number line approach that involves taking two jumps.

First, we'll make a jump from 15 to the next round (friendly) number, which is 20. This first jump is:

2015=520 - 15 = 5

Next, we'll make a second jump from 20 to 37. This second jump is:

3720=1737 - 20 = 17

Now, we'll add these two jumps together to find the total increase from 15 to 37:

5+17=225 + 17 = 22

Thus, the value of the missing number is 2222.

Therefore, the solution to the problem is =22 \Box = 22 .

3

Final Answer

22 22

Key Points to Remember

Essential concepts to master this topic
  • Missing Addend: Find what number added to 15 equals 37
  • Two-Jump Method: Break 15→37 into 15→20 (jump 5), then 20→37 (jump 17)
  • Verification: Check that 15 + 22 = 37 using your calculated answer ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting instead of finding the missing addend
    Don't calculate 37 - 15 = 22 without understanding why! This shortcuts the learning process and skips the number line visualization. Always use the two-jump method to break down the addition into friendly number steps.

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 need to make two jumps instead of one big jump?

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Making two jumps helps you visualize the addition process and makes mental math easier! Jumping to a round number like 20 first gives you a friendly landmark to work from.

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

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Choose the nearest multiple of 10 that's bigger than your starting number. From 15, the next friendly number is 20, which makes the first jump easy to calculate.

What if I get the wrong answer using this method?

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Double-check your jumps! Make sure your first jump goes from 15 to exactly 20 (2015=5) (20-15=5) , and your second jump goes from 20 to exactly 37 (3720=17) (37-20=17) .

Can I use this method for other addition problems?

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Absolutely! This two-jump strategy works great for any addition where you need to find a missing number. Just find a friendly number between your start and end points.

Is there a faster way to solve this?

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Yes, you can subtract: 3715=22 37-15=22 . But using the number line method helps you understand what addition really means and builds stronger mental math skills!

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