Question

How do you round 0.682 to the nearest tenth?

Answer 1

`0.7` to 1 decimal place

Explanation:

`0.682` is the same as `6/10+8/100+2/1000`

So the cut off point is between the 6 and the 8.

Observe that `8 >=5` so we round up giving 0.7 to 1 decimal place

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`color(blue)("Foot note")`

The two condition for rounding are based on the value of the digit immediately to the right of the cut off point.

Rounding to the nearest `10^("th")`

`color(brown)("If the digit to the right of the cut off point is 5 or more we round up.")`Which is; add 1 to the digit to the left of the cut off point.

As an example: suppose we had 0.482. The 8 is more than 5 so we change the 4 (round up) by adding 1 to it giving 0.5 to 1 decimal place

`color(brown)("If the digit to the right of the cut off point is less then 5 we round down.")`Which is; do not change the digit to the left of the cut off point.

As an example: suppose we had 0.432. The 3 is less than 5 so we do not change the 4 (round down) giving 0.4 to 1 decimal place