Decimal in the thousandths place
0.138 in Words
0.138 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.138 in words is zero point one three eight.
0.138 Place-Value Breakdown
The decimal digits place 1 in the tenth place, 3 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 1 | tenth | 1/10 |
| Decimal part | 3 | hundredth | 3/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.138?
0.138 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.138
0.138 = 1/10 + 3/100 + 8/1000
0.138 = 0 + 138/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.138 Simplifies to 69/500
0.138 = 138/1000
The greatest common divisor of 138 and 1000 is 2.
138 ÷ 2 = 69
1000 ÷ 2 = 500
Therefore, 138/1000 = 69/500.
0.138 as a Percentage
To convert 0.138 to a percentage, multiply it by 100.
0.138 × 100 = 13.8
Therefore, 0.138 = 13.8%.
Decimals Equivalent to 0.138
0.138 = 0.1380 = 0.13800
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 |
|---|---|---|---|
| 0.138 | thousandths | 138/1000 | 69/500 |
| 0.1380 | ten-thousandths | 1380/10000 | 69/500 |
| 0.13800 | hundred-thousandths | 13800/100000 | 69/500 |
Visual Model of 0.138
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.138 on a Number Line
0.138 lies between 0.137 and 0.139. It is 0.862 below 1 and 0.138 above 0.
On a number line from 0 to 1, it appears 13.8% of the way from 0 to 1.
How Far Is 0.138 from 1?
1 − 0.138 = 0.862
1 − 69/500 = 431/500
0.138 is eight hundred sixty-two thousandths below 1. The remaining part is 862/1000 = 431/500 = 86.2%.
0.138 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0138 | zero point zero one three eight | one hundred thirty-eight ten-thousandths | 69/5000 | 1.38% | ten times smaller than 0.138 |
| 0.138 | zero point one three eight | one hundred thirty-eight thousandths | 69/500 | 13.8% | current value |
| 0.1380 | zero point one three eight zero | one thousand three hundred eighty ten-thousandths | 69/500 | 13.8% | same numerical value, written to the ten-thousandths place |
| 1.38 | one point three eight | one and thirty-eight hundredths | 69/50 | 138% | ten times larger than 0.138 |
Quick Practice
How is 0.138 read digit by digit?
Zero point one three eight.
What is the place-value word form of 0.138?
One hundred thirty-eight thousandths.
What fraction is 0.138 in lowest terms?
69/500.
What percentage is equal to 0.138?
13.8%.
Which is greater: 0.138 or 0.0138?
0.138 is ten times as large.
Is 0.138 equal to 0.1380?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.138 in words?
0.138 in words is zero point one three eight.
Why is 0.138 called one hundred thirty-eight thousandths?
Because the digit 1 is in the thousandths place. Therefore, 0.138 represents one hundred thirty-eight thousandths.
What fraction is 0.138?
0.138 is 138/1000 exactly and 69/500 in lowest terms.
Can 138/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 69/500.
What percentage is 0.138?
0.138 is equal to 13.8%.
Is 0.138 the same as 0.1380?
Yes. 0.138 and 0.1380 have the same numerical value. However, 0.138 is written to the thousandths place, while 0.1380 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.138 larger than 0.0138?
Yes. 0.138 is ten times as large as 0.0138.
What type of decimal is 0.138?
0.138 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents one hundred thirty-eight thousandths.