Why the Zeros After the Point Matter
0.013 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
Decimal in the thousandths place
0.013 in Words
0.013 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.013 in words is zero point zero one three.
0.013 Place-Value Breakdown
The first digit after the decimal point is 0, and the digit 1 is in the thousandths place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 1 | hundredth | 1/100 |
| Decimal part | 3 | thousandth | 3/1000 |
What Kind of Decimal Is 0.013?
0.013 is a positive terminating decimal less than 1. It is written to the thousandths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of 0.013
0.013 = 1/100 + 3/1000
0.013 = 0 + 13/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 13/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 13/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.013 as a Percentage
To convert 0.013 to a percentage, multiply it by 100.
0.013 × 100 = 1.3
Therefore, 0.013 = 1.3%.
Decimals Equivalent to 0.013
0.013 = 0.0130 = 0.01300
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 |
|---|---|---|---|
| 0.013 | thousandths | 13/1000 | 13/1000 |
| 0.0130 | ten-thousandths | 130/10000 | 13/1000 |
| 0.01300 | hundred-thousandths | 1300/100000 | 13/1000 |
Visual Model of 0.013
13thousandths
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.013 on a Number Line
0.013 lies between 0.012 and 0.014. It is 0.987 below 1 and 0.013 above 0.
On a number line from 0 to 1, it appears 1.3% of the way from 0 to 1.
00.0131
How Far Is 0.013 from 1?
1 − 0.013 = 0.987
1 − 13/1000 = 987/1000
0.013 is nine hundred eighty-seven thousandths below 1. The remaining part is 987/1000 = 987/1000 = 98.7%.
0.013 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0013 | zero point zero zero one three | thirteen ten-thousandths | 13/10000 | 0.13% | ten times smaller than 0.013 |
| 0.013 | zero point zero one three | thirteen thousandths | 13/1000 | 1.3% | current value |
| 0.0130 | zero point zero one three zero | one hundred thirty ten-thousandths | 13/1000 | 1.3% | same numerical value, written to the ten-thousandths place |
| 0.13 | zero point one three | thirteen hundredths | 13/100 | 13% | ten times larger than 0.013 |
Quick Practice
How is 0.013 read digit by digit?
Zero point zero one three.
What is the place-value word form of 0.013?
Thirteen thousandths.
What fraction is 0.013 in lowest terms?
13/1000.
What percentage is equal to 0.013?
1.3%.
Why must the zero after the decimal point be read?
It holds an empty place before the first nonzero digit and fixes the value in the thousandths place.
Which is greater: 0.013 or 0.13?
0.13 is ten times as large.
Frequently Asked Questions
How do you write 0.013 in words?
0.013 in words is zero point zero one three.
Why is 0.013 called thirteen thousandths?
Because the digit 1 is in the thousandths place. Therefore, 0.013 represents thirteen thousandths.
What fraction is 0.013?
0.013 is 13/1000 exactly and 13/1000 in lowest terms.
Is 13/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.013?
0.013 is equal to 1.3%.
Is 0.013 the same as 0.0130?
Yes. 0.013 and 0.0130 have the same numerical value. However, 0.013 is written to the thousandths place, while 0.0130 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.013 larger than 0.0013?
Yes. 0.013 is ten times as large as 0.0013.
What type of decimal is 0.013?
0.013 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents thirteen thousandths.