Learning how to find missing numbers in addition can be like solving a fun puzzle! Sometimes, these puzzles need a little extra help called regrouping. Let’s dive into what regrouping means and how we can solve these types of problems.
✨ What is a Missing Addend?
In addition, a missing addend is a number that you need to find to make the equation correct. For example:
3 + ___ = 9
In this equation, we need to find the number that, when added to 3, gives us 9.
🧠 How Do We Solve Missing Addend Problems?
To solve a missing addend problem, you can think about it like this:
- Start with the total (the number after the equals sign).
- Subtract the number you know from the total to find the missing number.
Let’s try solving 3 + ___ = 9:
- Start with 9.
- Subtract 3:
9−3=6
So, the missing addend is 6.
✅ 3 + 6 = 9
🔄 What is Regrouping in Addition?
Sometimes, when you add numbers, the sum is greater than 9, and you need to regroup. Regrouping is when you carry over a value to the next place value (like tens or hundreds).
For example, let’s solve:
7 + ___ = 14
We know that 7 plus something equals 14. Let’s find that missing addend.
💡 Step-by-Step Solution
- Start with the total: 14.
- Subtract the number you know:
14−7=7
So, the missing addend is 7.
✅ 7 + 7 = 14
This addition involved regrouping because 7 + 7 makes 14, which is a two-digit number. We need to carry over the 1 to the tens place.
📝 Practice Problems
1) Find the missing addend:
+ | 9 | |||
10 |
2) Find the missing addend:
9 | ||||
+ | ||||
18 |
3) Find the missing addend:
+ | 9 | |||
10 |
4) Find the missing addend:
+ | 9 | |||
18 |
5) Find the missing addend:
4 | ||||
+ | ||||
12 |
6) Find the missing addend:
+ | 7 | |||
10 |
7) Find the missing addend:
6 | ||||
+ | ||||
11 |
8) Find the missing addend:
+ | 7 | |||
13 |
9) Find the missing addend:
+ | 2 | |||
11 |
10) Find the missing addend:
6 | ||||
+ | ||||
14 |
Answers:
1) 1
2) 9
3) 1
4) 9
5) 8
6) 3
7) 5
8) 6
9) 9
10) 8