A Familiar Fraction Equivalent
The reduced form 1/8 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
0.125 in Words
0.125 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.125 in words is zero point one two five.
0.125 Place-Value Breakdown
The decimal digits place 1 in the tenth place, 2 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 1 | tenth | 1/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 0.125?
0.125 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.125
0.125 = 1/10 + 2/100 + 5/1000
0.125 = 0 + 125/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.125 Simplifies to 1/8
0.125 = 125/1000
The greatest common divisor of 125 and 1000 is 125.
125 ÷ 125 = 1
1000 ÷ 125 = 8
Therefore, 125/1000 = 1/8.
0.125 as a Percentage
To convert 0.125 to a percentage, multiply it by 100.
0.125 × 100 = 12.5
Therefore, 0.125 = 12.5%.
Decimals Equivalent to 0.125
0.125 = 0.1250 = 0.12500
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 |
|---|---|---|---|
| 0.125 | thousandths | 125/1000 | 1/8 |
| 0.1250 | ten-thousandths | 1250/10000 | 1/8 |
| 0.12500 | hundred-thousandths | 12500/100000 | 1/8 |
Visual Model of 0.125
One of eight equal parts is filled, leaving seven unfilled.
The unfilled part is 7/8 = 7/8 = 87.5%.
The filled part is 125/1000 = 1/8 = 12.5%.
0.125 on a Number Line
0.125 lies between 0.124 and 0.126. It is 0.875 below 1 and 0.125 above 0.
On a number line from 0 to 1, it appears 12.5% of the way from 0 to 1.
00.1251
How Far Is 0.125 from 1?
1 − 0.125 = 0.875
1 − 1/8 = 7/8
0.125 is eight hundred seventy-five thousandths below 1. The remaining part is 875/1000 = 7/8 = 87.5%.
0.125 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0125 | zero point zero one two five | one hundred twenty-five ten-thousandths | 1/80 | 1.25% | ten times smaller than 0.125 |
| 0.125 | zero point one two five | one hundred twenty-five thousandths | 1/8 | 12.5% | current value |
| 0.1250 | zero point one two five zero | one thousand two hundred fifty ten-thousandths | 1/8 | 12.5% | same numerical value, written to the ten-thousandths place |
| 1.25 | one point two five | one and twenty-five hundredths | 5/4 | 125% | ten times larger than 0.125 |
Quick Practice
How is 0.125 read digit by digit?
Zero point one two five.
What is the place-value word form of 0.125?
One hundred twenty-five thousandths.
What fraction is 0.125 in lowest terms?
1/8.
What percentage is equal to 0.125?
12.5%.
Which is greater: 0.125 or 0.0125?
0.125 is ten times as large.
Is 0.125 equal to 0.1250?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.125 in words?
0.125 in words is zero point one two five.
Why is 0.125 called one hundred twenty-five thousandths?
Because the digit 1 is in the thousandths place. Therefore, 0.125 represents one hundred twenty-five thousandths.
What fraction is 0.125?
0.125 is 125/1000 exactly and 1/8 in lowest terms.
Can 125/1000 be simplified?
Yes. Divide its numerator and denominator by 125 to get 1/8.
What percentage is 0.125?
0.125 is equal to 12.5%.
Is 0.125 the same as 0.1250?
Yes. 0.125 and 0.1250 have the same numerical value. However, 0.125 is written to the thousandths place, while 0.1250 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.125 larger than 0.0125?
Yes. 0.125 is ten times as large as 0.0125.
What type of decimal is 0.125?
0.125 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents one hundred twenty-five thousandths.