Year 6 Arithmetic (SATs) · Decimals and percentages · Summary
Year 6 Arithmetic (SATs) Decimals and percentages: summary and key words
Part of the Year 6 Arithmetic (SATs) decimals and percentages chapter. Chapter overview · whole chapter on one page
Chapter summary
| Skill | Method |
|---|---|
| Decimal as fraction | 0.71 = 71/100: as many zeros as decimal places. |
| Place value | Tenths, hundredths and thousandths: 0.007 is 7 thousandths. |
| Compare decimals | Line up the decimal points and compare from the left. |
| Round | Look at the next digit: 5 or more rounds up, 4 or less rounds down. |
| Multiply by whole | Multiply as whole numbers, then keep the same number of decimal places. |
| Divide by whole | Divide, put the point in the answer above the point, and add zeros if needed. |
| Fractions, decimals, % | 3/4 = 0.75 = 75%; 1/5 = 0.2 = 20%. |
| Percentage of amount | Find 1% (divide by 100), then multiply by the percentage: 15% of 360 = 54. |
Can you…?
- I can write a decimal as a fraction, and recognise thousandths
- I can find the value of a digit to three decimal places
- I can compare, order and round decimals
- I can multiply and divide decimals by whole numbers
- I can change between fractions, decimals and percentages
- I can find a percentage of an amount and compare percentages
Key terms
- decimal place
- a position after the decimal point: tenths, hundredths, thousandths
- thousandths
- the third place after the decimal point, worth 0.001 each
- percentage
- a number out of 100, shown with the % sign
- round
- to change a number to a simpler value of a given accuracy
- equivalent
- the same value written in a different form, such as 1/2 = 0.5 = 50%