Balance addition equations – up to three-digit

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.

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

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

 _____+ 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.

 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.

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!