Solve Addition Equation: Finding Missing Number in 46 + □ = 55

Addition Equations with Number Line Jumps

Solve the addition exercise,

using two jumps on the number line below:

46+=55 46+\Box=55

464646555555

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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:

46+=55 46+\Box=55

464646555555

2

Step-by-step solution

To solve the addition problem 46+=55 46 + \Box = 55 with two jumps on the number line, follow these steps:

  • First, identify the starting point, which is 46, and the desired endpoint, which is 55.
  • Make the first jump from 46 to the next higher round number. This number is 50 because it is the nearest round number greater than 46.
  • The length of this first jump is calculated by subtracting 46 from 50, which is 5046=4 50 - 46 = 4 .
  • From 50, make the second jump to reach 55.
  • The length of this second jump is obtained by subtracting 50 from 55, which is 5550=5 55 - 50 = 5 .
  • Add the lengths of both jumps to find the missing number \Box:
  • =4+5=9\Box = 4 + 5 = 9

Therefore, the solution to the problem is the missing number \Box, which is 9 9 .

3

Final Answer

9 9

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break the distance into two jumps using benchmark numbers
  • Technique: Jump from 46 to 50 (4 units), then 50 to 55 (5 units)
  • Check: Verify that 46 + 9 = 55 on the number line ✓

Common Mistakes

Avoid these frequent errors
  • Jumping directly without using benchmark numbers
    Don't try to count from 46 to 55 in one jump = difficult counting and errors! This makes it hard to visualize and easy to miscount. Always use a round number like 50 as a stepping stone to break the problem into manageable parts.

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 do I need to use two jumps instead of counting directly?

+

Using two jumps with a benchmark number (like 50) makes counting easier and reduces errors. It's much simpler to add 4 + 5 than to count from 46 to 55!

How do I choose the right benchmark number?

+

Choose the nearest round number (ending in 0) between your starting and ending points. Since we go from 46 to 55, the benchmark 50 is perfect!

What if my jumps don't add up correctly?

+

Double-check each jump separately: 46 + 4 = 50 and 50 + 5 = 55. Then verify that 4+5=9 4 + 5 = 9 matches your missing number.

Can I use a different benchmark number?

+

Yes, but choose wisely! You could use 47, 48, or 49, but 50 is easiest because it's a round number that makes mental math simple.

How do I know if I'm moving in the right direction?

+

Since 55 is greater than 46, you always move right (forward) on the number line. If the final number were smaller, you'd move left (backward).

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