Year 6 Arithmetic (SATs) · Place value and the four operations · Summary
Year 6 Arithmetic (SATs) Place value and the four operations: summary and key words
Part of the Year 6 Arithmetic (SATs) place value and the four operations chapter. Chapter overview · whole chapter on one page
Chapter summary
| Skill | Method |
|---|---|
| Value of a digit | Multiply the digit by its column: 7 in 4,702,815 is 7 × 100,000 = 700,000. |
| Comparing numbers | Line up the columns and compare from the left; the first column that differs decides. |
| Rounding | Look at the digit to the right of the rounding column: 5 or more rounds up, 4 or less rounds down. |
| Column addition | Add column by column from the right, carrying tens to the next column. |
| Column subtraction | Subtract column by column from the right, borrowing 10 when the top digit is too small. |
| Negative numbers | Count through zero on a number line; -4 + 3 = -1. |
| Order of operations | Brackets, then multiply and divide, then add and subtract, working left to right. |
Can you…?
- I can name the value of any digit in a number up to 10,000,000
- I can round a number to the nearest 10, 100, 1,000, 10,000, 100,000 or million
- I can add and subtract large numbers using a column method
- I can count through zero with negative numbers in a real context
- I can use the order of operations, including brackets, to get the right answer
- I can estimate by rounding first, and say whether an answer is sensible
Key terms
- place value
- the value of a digit, which depends on its column
- digit
- one of the symbols 0 to 9 used to write a number
- round
- to change a number to the nearest multiple of a given amount
- estimate
- a sensible, rounded answer that shows whether the exact answer is about right
- carry
- move ten from one column to the next in addition
- borrow
- take ten from the next column when subtracting
- negative number
- a number less than zero, such as -4
- order of operations
- the rule that says which part of a calculation is done first