# Adding and subtracting to a million · Grade 4

> Adding and subtracting to a million, Grade 4: Clever strategies and more. Explanation, worked examples and free practice following the Israeli curriculum.

In Adding and subtracting to a million (Grade 4) you practise 4 skills: Column addition and subtraction · Clever strategies · Equations and inequalities · Estimating.

In an addition you can take an amount from one number and add the same amount to the other, and the sum does not change. So 3,625 + 1,297 equals 3,622 + 1,300, and the second one is easy to work out in your head.

In a subtraction you can add the same amount to both numbers, or take the same amount from both, and the difference does not change. So 5,000 − 1,998 equals 5,002 − 2,000, which is 3,002.

Addition and subtraction undo each other. Use them to check an answer and to find a missing number: if ☐ + 2,500 = 7,000, the missing number is 7,000 − 2,500, which is 4,500.

**Tip:** Before you work it out, estimate: round the numbers, and at the end check that your answer is close to the estimate.

## What you learn

### Column addition and subtraction

- Example: Work out: 861 + 137
- Answer: 998
- Solution: Write the numbers one under the other, units under units, and work column by column from the right:   861 + 137 ─────   998 861 + 137 = 998

### Clever strategies

- Example: Complete it so that both sides are equal: 57,094 + 6,398 = 57,092 + ☐
- Answer: 6400
- Solution: We took 2 from the first number and added 2 to the second; the sum did not change: 57,092 + 6,400 = 63,492

### Equations and inequalities

- Example: Find the missing number: 57,100 + ☐ = 63,100
- Answer: 6000
- Solution: To find a missing number in a sum, take the known number from the total: 63,100 − 57,100 = 6,000 . Check: 57,100 + 6,000 = 63,100

### Estimating

- Example: Round 2,288 to the nearest thousand.
- Answer: 2000
- Solution: The deciding digit is 2, so round down: 2,288 ≈ 2,000

The exercises are made by rules and the answers are worked out in code. The topic follows the new Israeli elementary programme (2023).

[Practise on the site](https://kixplo.com/il/en/) · [All Grade 4 topics](https://kixplo.com/il/en/math/grade-4/2023/)