A Familiar Fraction Equivalent
The reduced form 7/8 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Decimal in the thousandths place
0.875 in Words
0.875 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.875 in words is zero point eight seven five.
0.875 Place-Value Breakdown
The decimal digits place 8 in the tenth place, 7 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 8 | tenth | 8/10 |
| Decimal part | 7 | hundredth | 7/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 0.875?
0.875 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.875
0.875 = 8/10 + 7/100 + 5/1000
0.875 = 0 + 875/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.875 Simplifies to 7/8
0.875 = 875/1000
The greatest common divisor of 875 and 1000 is 125.
875 ÷ 125 = 7
1000 ÷ 125 = 8
Therefore, 875/1000 = 7/8.
0.875 as a Percentage
To convert 0.875 to a percentage, multiply it by 100.
0.875 × 100 = 87.5
Therefore, 0.875 = 87.5%.
Decimals Equivalent to 0.875
0.875 = 0.8750 = 0.87500
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 0.875 | thousandths | 875/1000 | 7/8 |
| 0.8750 | ten-thousandths | 8750/10000 | 7/8 |
| 0.87500 | hundred-thousandths | 87500/100000 | 7/8 |
Visual Model of 0.875
Seven of eight equal parts are filled, leaving one unfilled.
The unfilled part is 1/8 = 1/8 = 12.5%.
The filled part is 875/1000 = 7/8 = 87.5%.
0.875 on a Number Line
0.875 lies between 0.874 and 0.876. It is 0.125 below 1 and 0.875 above 0.
On a number line from 0 to 1, it appears 87.5% of the way from 0 to 1.
00.8751
How Far Is 0.875 from 1?
1 − 0.875 = 0.125
1 − 7/8 = 1/8
0.875 is one hundred twenty-five thousandths below 1. The remaining part is 125/1000 = 1/8 = 12.5%.
0.875 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0875 | zero point zero eight seven five | eight hundred seventy-five ten-thousandths | 7/80 | 8.75% | ten times smaller than 0.875 |
| 0.875 | zero point eight seven five | eight hundred seventy-five thousandths | 7/8 | 87.5% | current value |
| 0.8750 | zero point eight seven five zero | eight thousand seven hundred fifty ten-thousandths | 7/8 | 87.5% | same numerical value, written to the ten-thousandths place |
| 8.75 | eight point seven five | eight and seventy-five hundredths | 35/4 | 875% | ten times larger than 0.875 |
Quick Practice
How is 0.875 read digit by digit?
Zero point eight seven five.
What is the place-value word form of 0.875?
Eight hundred seventy-five thousandths.
What fraction is 0.875 in lowest terms?
7/8.
What percentage is equal to 0.875?
87.5%.
Which is greater: 0.875 or 0.0875?
0.875 is ten times as large.
Is 0.875 equal to 0.8750?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.875 in words?
0.875 in words is zero point eight seven five.
Why is 0.875 called eight hundred seventy-five thousandths?
Because the digit 8 is in the thousandths place. Therefore, 0.875 represents eight hundred seventy-five thousandths.
What fraction is 0.875?
0.875 is 875/1000 exactly and 7/8 in lowest terms.
Can 875/1000 be simplified?
Yes. Divide its numerator and denominator by 125 to get 7/8.
What percentage is 0.875?
0.875 is equal to 87.5%.
Is 0.875 the same as 0.8750?
Yes. 0.875 and 0.8750 have the same numerical value. However, 0.875 is written to the thousandths place, while 0.8750 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.875 larger than 0.0875?
Yes. 0.875 is ten times as large as 0.0875.
What type of decimal is 0.875?
0.875 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents eight hundred seventy-five thousandths.