Why the Zeros After the Point Matter
1.013 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
1.013 in Words
1.013 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.013 in words is one point zero one three.
1.013 Place-Value Breakdown
The digits 1 form the whole-number part, while 0 in the tenth place, 1 in the hundredth place, and 3 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 1 | hundredth | 1/100 |
| Decimal part | 3 | thousandth | 3/1000 |
What Kind of Decimal Is 1.013?
1.013 is a positive terminating decimal greater 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 1.013
1.013 = 1 + 1/100 + 3/1000
1.013 = 1 + 13/1000
1.013 = 1 13/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 1013/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 1013/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
As a mixed fraction, the value is 1 13/1000.
1.013 as a Percentage
To convert 1.013 to a percentage, multiply it by 100.
1.013 × 100 = 101.3
Therefore, 1.013 = 101.3%.
Decimals Equivalent to 1.013
1.013 = 1.0130 = 1.01300
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 |
|---|---|---|---|
| 1.013 | thousandths | 1013/1000 | 1013/1000 |
| 1.0130 | ten-thousandths | 10130/10000 | 1013/1000 |
| 1.01300 | hundred-thousandths | 101300/100000 | 1013/1000 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 13/1000. In place-value words, "and" marks that boundary.
1.013 on a Number Line
1.013 lies between 1 and 2. It is 0.987 below 2 and 0.013 above 1.
11.0132
1.013 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1013 | zero point one zero one three | one thousand thirteen ten-thousandths | 1013/10000 | 10.13% | ten times smaller than 1.013 |
| 1.013 | one point zero one three | one and thirteen thousandths | 1013/1000 | 101.3% | current value |
| 1.0130 | one point zero one three zero | one and one hundred thirty ten-thousandths | 1013/1000 | 101.3% | same numerical value, written to the ten-thousandths place |
| 10.13 | ten point one three | ten and thirteen hundredths | 1013/100 | 1013% | ten times larger than 1.013 |
Quick Practice
How is 1.013 read digit by digit?
One point zero one three.
What is the place-value word form of 1.013?
One and thirteen thousandths.
What fraction is 1.013 in lowest terms?
1013/1000.
What percentage is equal to 1.013?
101.3%.
What is 1.013 as a mixed fraction?
1 13/1000.
Between which whole numbers does 1.013 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.013 in words?
1.013 in words is one point zero one three.
Why is 1.013 called one and thirteen thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.013 represents one and thirteen thousandths.
What fraction is 1.013?
1.013 is 1013/1000 exactly and 1013/1000 in lowest terms.
Is 1013/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 1.013?
1.013 is equal to 101.3%.
Is 1.013 the same as 1.0130?
Yes. 1.013 and 1.0130 have the same numerical value. However, 1.013 is written to the thousandths place, while 1.0130 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.013 larger than 0.1013?
Yes. 1.013 is ten times as large as 0.1013.
What type of decimal is 1.013?
1.013 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and thirteen thousandths.