Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 138/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.138 in Words
1.138 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.138 in words is one point one three eight.
1.138 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 in the tenth place, 3 in the hundredth place, and 8 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 | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 1.138?
1.138 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.138
1.138 = 1 + 1/10 + 3/100 + 8/1000
1.138 = 1 + 138/1000
1.138 = 1 69/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.138 Simplifies to 569/500
1.138 = 1138/1000
The greatest common divisor of 1138 and 1000 is 2.
1138 ÷ 2 = 569
1000 ÷ 2 = 500
Therefore, 1138/1000 = 569/500.
As a mixed fraction, the value is 1 69/500.
1.138 as a Percentage
To convert 1.138 to a percentage, multiply it by 100.
1.138 × 100 = 113.8
Therefore, 1.138 = 113.8%.
Decimals Equivalent to 1.138
1.138 = 1.1380 = 1.13800
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 |
|---|---|---|---|
| 1.138 | thousandths | 1138/1000 | 569/500 |
| 1.1380 | ten-thousandths | 11380/10000 | 569/500 |
| 1.13800 | hundred-thousandths | 113800/100000 | 569/500 |
1.138 on a Number Line
1.138 lies between 1 and 2. It is 0.862 below 2 and 0.138 above 1.
11.1382
1.138 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1138 | zero point one one three eight | one thousand one hundred thirty-eight ten-thousandths | 569/5000 | 11.38% | ten times smaller than 1.138 |
| 1.138 | one point one three eight | one and one hundred thirty-eight thousandths | 569/500 | 113.8% | current value |
| 1.1380 | one point one three eight zero | one and one thousand three hundred eighty ten-thousandths | 569/500 | 113.8% | same numerical value, written to the ten-thousandths place |
| 11.38 | eleven point three eight | eleven and thirty-eight hundredths | 569/50 | 1138% | ten times larger than 1.138 |
Quick Practice
How is 1.138 read digit by digit?
One point one three eight.
What is the place-value word form of 1.138?
One and one hundred thirty-eight thousandths.
What fraction is 1.138 in lowest terms?
569/500.
What percentage is equal to 1.138?
113.8%.
What is 1.138 as a mixed fraction?
1 69/500.
Between which whole numbers does 1.138 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.138 in words?
1.138 in words is one point one three eight.
Why is 1.138 called one and one hundred thirty-eight thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.138 represents one and one hundred thirty-eight thousandths.
What fraction is 1.138?
1.138 is 1138/1000 exactly and 569/500 in lowest terms.
Can 1138/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 569/500.
What percentage is 1.138?
1.138 is equal to 113.8%.
Is 1.138 the same as 1.1380?
Yes. 1.138 and 1.1380 have the same numerical value. However, 1.138 is written to the thousandths place, while 1.1380 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.138 larger than 0.1138?
Yes. 1.138 is ten times as large as 0.1138.
What type of decimal is 1.138?
1.138 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred thirty-eight thousandths.