Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 315/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.315 in Words
1.315 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.315 in words is one point three one five.
1.315 Place-Value Breakdown
The digits 1 form the whole-number part, while 3 in the tenth place, 1 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 1 | hundredth | 1/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 1.315?
1.315 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.315
1.315 = 1 + 3/10 + 1/100 + 5/1000
1.315 = 1 + 315/1000
1.315 = 1 63/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.315 Simplifies to 263/200
1.315 = 1315/1000
The greatest common divisor of 1315 and 1000 is 5.
1315 ÷ 5 = 263
1000 ÷ 5 = 200
Therefore, 1315/1000 = 263/200.
As a mixed fraction, the value is 1 63/200.
1.315 as a Percentage
To convert 1.315 to a percentage, multiply it by 100.
1.315 × 100 = 131.5
Therefore, 1.315 = 131.5%.
Decimals Equivalent to 1.315
1.315 = 1.3150 = 1.31500
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 |
|---|---|---|---|
| 1.315 | thousandths | 1315/1000 | 263/200 |
| 1.3150 | ten-thousandths | 13150/10000 | 263/200 |
| 1.31500 | hundred-thousandths | 131500/100000 | 263/200 |
1.315 on a Number Line
1.315 lies between 1 and 2. It is 0.685 below 2 and 0.315 above 1.
11.3152
1.315 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1315 | zero point one three one five | one thousand three hundred fifteen ten-thousandths | 263/2000 | 13.15% | ten times smaller than 1.315 |
| 1.315 | one point three one five | one and three hundred fifteen thousandths | 263/200 | 131.5% | current value |
| 1.3150 | one point three one five zero | one and three thousand one hundred fifty ten-thousandths | 263/200 | 131.5% | same numerical value, written to the ten-thousandths place |
| 13.15 | thirteen point one five | thirteen and fifteen hundredths | 263/20 | 1315% | ten times larger than 1.315 |
Quick Practice
How is 1.315 read digit by digit?
One point three one five.
What is the place-value word form of 1.315?
One and three hundred fifteen thousandths.
What fraction is 1.315 in lowest terms?
263/200.
What percentage is equal to 1.315?
131.5%.
What is 1.315 as a mixed fraction?
1 63/200.
Between which whole numbers does 1.315 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.315 in words?
1.315 in words is one point three one five.
Why is 1.315 called one and three hundred fifteen thousandths?
Because the digit 3 is in the thousandths place. Therefore, 1.315 represents one and three hundred fifteen thousandths.
What fraction is 1.315?
1.315 is 1315/1000 exactly and 263/200 in lowest terms.
Can 1315/1000 be simplified?
Yes. Divide its numerator and denominator by 5 to get 263/200.
What percentage is 1.315?
1.315 is equal to 131.5%.
Is 1.315 the same as 1.3150?
Yes. 1.315 and 1.3150 have the same numerical value. However, 1.315 is written to the thousandths place, while 1.3150 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.315 larger than 0.1315?
Yes. 1.315 is ten times as large as 0.1315.
What type of decimal is 1.315?
1.315 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred fifteen thousandths.