Express 134.78 correct to the nearest tenth
ROUNDING WHOLE NUMBERS
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
Example: 33 rounded to the nearest ten is 30.
All the numbers to the right of the place you are rounding to become zeros.
ROUNDING FRACTIONS (DECIMAL POINTS)
Rounding fractions works exactly the same way as rounding whole numbers. The only difference is that instead of rounding to tens, hundreds, thousands, and so on, you round to tenths, hundredths, thousandths, and so on after the decimal point.
nth |
Number of Decimal Places |
tenth |
Round to 1 decimal place |
hundredths |
Round to 2 decimal places |
Thousandths |
Round to 3 decimal places |
ROUNDING TO DECIMAL PLACE(S)
Count the numbers after the decimal point to the number of places you are rounding to. If the next number after where you land is 5 or more, you add 1 to the number where the number of the decimal places land.
In the question above we are to express 134.78 correct to the nearest tenth, hence correct to 1 decimal place. When we count from the decimal point (.) one, it lands on 7 and the next number is 8. Since 8 is more than 5, we add 1 to where our decimal point ended (7) and we get 8 instead of 7.
Hence the 134.8 is the nearest tenth of 134.78