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8/10 as a Decimal

Terminating decimal · 80.00% · simplified 4/5

8/10 = 0.8. The division comes to rest after 1 decimal place, so you can write the whole value without a bar or an approximation. As a percentage that is 80.00%.

Decimal0.8
Percent80.00%
Simplified4/5
TypeExact

Long division, step by step

Divide the numerator by the denominator the way it is done on paper: bring down a zero, note how many times the denominator fits, keep the remainder, repeat. The remainders are what decide whether the decimal stops.

StepWorkingDigitRemainder
18 × 10 = 8080

The remainder reaches zero at step 1, which is precisely why the decimal terminates. A zero remainder means nothing is left to carry down.

Rounded to different precisions

How many places you keep depends on the use: money stops at two, engineering often wants three or four, and a science problem usually wants significant figures rather than decimal places.

PrecisionValueResult
1 decimal place0.8exact
2 decimal places0.8exact
3 decimal places0.8exact
4 decimal places0.8exact
Percentage80.00%exact

Will it terminate?

A fraction has a terminating decimal exactly when its simplified denominator is built only from 2s and 5s. Here the denominator reduces to 5, which factors to 5 — nothing but 2s and 5s, so the decimal stops. This is a property of the denominator alone: the numerator never decides it.

Because 8/10 reduces to 4/5, the recurrence pattern is the same as for 4/5. Simplifying first is the quickest way to see the true period.

Questions about 8/10

What is 8/10 as a decimal?

Exactly 0.8. The division terminates because the reduced denominator 5 has no prime factors other than 2 and 5, so the decimal stops after 1 digits.

Is 8/10 already in simplest form?

No. Dividing both parts by their greatest common factor gives 4/5, which has the same value and a shorter representation.

How do I round 8/10 to two decimal places?

Two places give 0.8. The exact value is already closed at 1 digits, so rounding only pads or trims zeros rather than changing the value.

What is 8/10 as a percentage?

80.00%, obtained by multiplying the decimal by 100. It is the same number with the decimal point moved two places to the right, and the same rounding rules apply.