Balance addition equations – up to three-digit
Key notes:
✨ Key Points |
What is an Equation?
- An equation shows that two sides are equal.
- It uses the equals sign (=).
- Example: 250 + 100 = 300 + 50
What is a Balanced Equation?
- A balanced equation means both sides have the same total.
- Example:
- 200 + 150 = 350
- 300 + 50 = 350
✅ Both sides = 350 → Balanced
How to Balance Addition Equations:
- Step 1: Add the numbers on the left side.
- Step 2: Add the numbers on the right side.
- Step 3: Check if both sides are equal.
- Step 4: If a number is missing, find it to make both sides equal.
📝 Examples |
Check balance
125 + 200 = 300 + 25
- Left side: 125 + 200 = 325
- Right side: 300 + 25 = 325
✅ Balanced
Find the missing number
150 + ___ = 275 + 25
- Right side: 275 + 25 = 300
- Left side: 150 + ? = 300
- ? = 300 – 150 = 150
✅ Answer: 150
Another example
248 + 132 = ___ + 200
- Left side: 248 + 132 = 380
- Right side: ? + 200 = 380
- ? = 380 – 200 = 180
✅ Answer: 180
🎯 Practice Activity |
Check whether the equations are balanced:
- 235 + 140 = 300 + 75
- 126 + 174 = 200 + 100
Fill in the missing numbers:
- 250 + ___ = 300 + 50
- ___ + 125 = 400 + 50
- 175 + 225 = ___ + 200
Learn with an example
➡️ Which number makes the equation true?
_____+ 314 = 105 + 352
First, add 105 + 352:
? + 314 = 105 + 352
? + 314 = 457
Decide which number makes the addition number sentence true. You can subtract to find the answer.
Subtract:
457 − 314 = 143
The missing number is 143.
➡️ Which number makes the equation true?
606 + 146 = 359 + ____
First, add 606 + 146:
606 + 146 = 359 + ?
752 = 359 + ?
Decide which number makes the addition number sentence true. You can subtract to find the answer.
Subtract:
752 − 359 = 393
The missing number is 393.
Which number makes the equation true?
236 + 144 = 262 +
First, add 236 + 144:
236 + 144 = 262 + ?
380 = 262 + ?
Decide which number makes the addition number sentence true. You can subtract to find the answer.
Subtract:
380 − 262 = 118
The missing number is 118.
Let’s practice!