Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 377/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.377 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.377 in words is one point three seven seven.
The digits 1 form the whole-number part, while 3 in the tenth place, 7 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 | 7 | hundredth | 7/100 |
| Decimal part | 7 | thousandth | 7/1000 |
1.377 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.377 = 1 + 3/10 + 7/100 + 7/1000
1.377 = 1 + 377/1000
1.377 = 1 377/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
There are 3 decimal places, so the exact fraction is 1377/1000.
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 1 377/1000.
To convert 1.377 to a percentage, multiply it by 100.
1.377 × 100 = 137.7
Therefore, 1.377 = 137.7%.
1.377 = 1.3770 = 1.37700
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 |
|---|---|---|---|
| 1.377 | thousandths | 1377/1000 | 1377/1000 |
| 1.3770 | ten-thousandths | 13770/10000 | 1377/1000 |
| 1.37700 | hundred-thousandths | 137700/100000 | 1377/1000 |
This mixed decimal combines the whole part 1 with the fractional part 377/1000. In place-value words, "and" marks that boundary.
1.377 lies between 1 and 2. It is 0.623 below 2 and 0.377 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1377 | zero point one three seven seven | one thousand three hundred seventy-seven ten-thousandths | 1377/10000 | 13.77% | ten times smaller than 1.377 |
| 1.377 | one point three seven seven | one and three hundred seventy-seven thousandths | 1377/1000 | 137.7% | current value |
| 1.3770 | one point three seven seven zero | one and three thousand seven hundred seventy ten-thousandths | 1377/1000 | 137.7% | same numerical value, written to the ten-thousandths place |
| 13.77 | thirteen point seven seven | thirteen and seventy-seven hundredths | 1377/100 | 1377% | ten times larger than 1.377 |
One point three seven seven.
One and three hundred seventy-seven thousandths.
1377/1000.
137.7%.
1 377/1000.
Between 1 and 2.
1.377 in words is one point three seven seven.
Because the digit 3 is in the thousandths place. Therefore, 1.377 represents one and three hundred seventy-seven thousandths.
1.377 is 1377/1000 exactly and 1377/1000 in lowest terms.
Yes. Its numerator and denominator have a greatest common divisor of 1.
1.377 is equal to 137.7%.
Yes. 1.377 and 1.3770 have the same numerical value. However, 1.377 is written to the thousandths place, while 1.3770 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.377 is ten times as large as 0.1377.
1.377 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred seventy-seven thousandths.