Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 137/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.137 in Words
1.137 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.137 in words is one point one three seven.
1.137 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 in the tenth place, 3 in the hundredth place, and 7 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 1 | tenth | 1/10 |
| Decimal part | 3 | hundredth | 3/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 1.137?
1.137 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.137
1.137 = 1 + 1/10 + 3/100 + 7/1000
1.137 = 1 + 137/1000
1.137 = 1 137/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 1137/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 1137/1000.
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 1 137/1000.
1.137 as a Percentage
To convert 1.137 to a percentage, multiply it by 100.
1.137 × 100 = 113.7
Therefore, 1.137 = 113.7%.
Decimals Equivalent to 1.137
1.137 = 1.1370 = 1.13700
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 |
|---|---|---|---|
| 1.137 | thousandths | 1137/1000 | 1137/1000 |
| 1.1370 | ten-thousandths | 11370/10000 | 1137/1000 |
| 1.13700 | hundred-thousandths | 113700/100000 | 1137/1000 |
1.137 on a Number Line
1.137 lies between 1 and 2. It is 0.863 below 2 and 0.137 above 1.
11.1372
1.137 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1137 | zero point one one three seven | one thousand one hundred thirty-seven ten-thousandths | 1137/10000 | 11.37% | ten times smaller than 1.137 |
| 1.137 | one point one three seven | one and one hundred thirty-seven thousandths | 1137/1000 | 113.7% | current value |
| 1.1370 | one point one three seven zero | one and one thousand three hundred seventy ten-thousandths | 1137/1000 | 113.7% | same numerical value, written to the ten-thousandths place |
| 11.37 | eleven point three seven | eleven and thirty-seven hundredths | 1137/100 | 1137% | ten times larger than 1.137 |
Quick Practice
How is 1.137 read digit by digit?
One point one three seven.
What is the place-value word form of 1.137?
One and one hundred thirty-seven thousandths.
What fraction is 1.137 in lowest terms?
1137/1000.
What percentage is equal to 1.137?
113.7%.
What is 1.137 as a mixed fraction?
1 137/1000.
Between which whole numbers does 1.137 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.137 in words?
1.137 in words is one point one three seven.
Why is 1.137 called one and one hundred thirty-seven thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.137 represents one and one hundred thirty-seven thousandths.
What fraction is 1.137?
1.137 is 1137/1000 exactly and 1137/1000 in lowest terms.
Is 1137/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 1.137?
1.137 is equal to 113.7%.
Is 1.137 the same as 1.1370?
Yes. 1.137 and 1.1370 have the same numerical value. However, 1.137 is written to the thousandths place, while 1.1370 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.137 larger than 0.1137?
Yes. 1.137 is ten times as large as 0.1137.
What type of decimal is 1.137?
1.137 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred thirty-seven thousandths.