Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 307/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.307 in Words
1.307 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.307 in words is one point three zero seven.
1.307 Place-Value Breakdown
The digits 1 form the whole-number part, while 3 in the tenth place, 0 in the hundredth place, and 7 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 1.307?
1.307 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.307
1.307 = 1 + 3/10 + 7/1000
1.307 = 1 + 307/1000
1.307 = 1 307/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 1307/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 1307/1000.
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 1 307/1000.
1.307 as a Percentage
To convert 1.307 to a percentage, multiply it by 100.
1.307 × 100 = 130.7
Therefore, 1.307 = 130.7%.
Decimals Equivalent to 1.307
1.307 = 1.3070 = 1.30700
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 |
|---|---|---|---|
| 1.307 | thousandths | 1307/1000 | 1307/1000 |
| 1.3070 | ten-thousandths | 13070/10000 | 1307/1000 |
| 1.30700 | hundred-thousandths | 130700/100000 | 1307/1000 |
1.307 on a Number Line
1.307 lies between 1 and 2. It is 0.693 below 2 and 0.307 above 1.
11.3072
1.307 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1307 | zero point one three zero seven | one thousand three hundred seven ten-thousandths | 1307/10000 | 13.07% | ten times smaller than 1.307 |
| 1.307 | one point three zero seven | one and three hundred seven thousandths | 1307/1000 | 130.7% | current value |
| 1.3070 | one point three zero seven zero | one and three thousand seventy ten-thousandths | 1307/1000 | 130.7% | same numerical value, written to the ten-thousandths place |
| 13.07 | thirteen point zero seven | thirteen and seven hundredths | 1307/100 | 1307% | ten times larger than 1.307 |
Quick Practice
How is 1.307 read digit by digit?
One point three zero seven.
What is the place-value word form of 1.307?
One and three hundred seven thousandths.
What fraction is 1.307 in lowest terms?
1307/1000.
What percentage is equal to 1.307?
130.7%.
What is 1.307 as a mixed fraction?
1 307/1000.
Between which whole numbers does 1.307 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.307 in words?
1.307 in words is one point three zero seven.
Why is 1.307 called one and three hundred seven thousandths?
Because the digit 3 is in the thousandths place. Therefore, 1.307 represents one and three hundred seven thousandths.
What fraction is 1.307?
1.307 is 1307/1000 exactly and 1307/1000 in lowest terms.
Is 1307/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 1.307?
1.307 is equal to 130.7%.
Is 1.307 the same as 1.3070?
Yes. 1.307 and 1.3070 have the same numerical value. However, 1.307 is written to the thousandths place, while 1.3070 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.307 larger than 0.1307?
Yes. 1.307 is ten times as large as 0.1307.
What type of decimal is 1.307?
1.307 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred seven thousandths.