Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 376/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.376 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.376 in words is one point three seven six.
The digits 1 form the whole-number part, while 3 in the tenth place, 7 in the hundredth place, and 6 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 | 6 | thousandth | 6/1000 |
1.376 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.376 = 1 + 3/10 + 7/100 + 6/1000
1.376 = 1 + 376/1000
1.376 = 1 47/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.376 = 1376/1000
The greatest common divisor of 1376 and 1000 is 8.
1376 ÷ 8 = 172
1000 ÷ 8 = 125
Therefore, 1376/1000 = 172/125.
As a mixed fraction, the value is 1 47/125.
To convert 1.376 to a percentage, multiply it by 100.
1.376 × 100 = 137.6
Therefore, 1.376 = 137.6%.
1.376 = 1.3760 = 1.37600
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 |
|---|---|---|---|
| 1.376 | thousandths | 1376/1000 | 172/125 |
| 1.3760 | ten-thousandths | 13760/10000 | 172/125 |
| 1.37600 | hundred-thousandths | 137600/100000 | 172/125 |
This mixed decimal combines the whole part 1 with the fractional part 376/1000. In place-value words, "and" marks that boundary.
1.376 lies between 1 and 2. It is 0.624 below 2 and 0.376 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1376 | zero point one three seven six | one thousand three hundred seventy-six ten-thousandths | 86/625 | 13.76% | ten times smaller than 1.376 |
| 1.376 | one point three seven six | one and three hundred seventy-six thousandths | 172/125 | 137.6% | current value |
| 1.3760 | one point three seven six zero | one and three thousand seven hundred sixty ten-thousandths | 172/125 | 137.6% | same numerical value, written to the ten-thousandths place |
| 13.76 | thirteen point seven six | thirteen and seventy-six hundredths | 344/25 | 1376% | ten times larger than 1.376 |
One point three seven six.
One and three hundred seventy-six thousandths.
172/125.
137.6%.
1 47/125.
Between 1 and 2.
1.376 in words is one point three seven six.
Because the digit 3 is in the thousandths place. Therefore, 1.376 represents one and three hundred seventy-six thousandths.
1.376 is 1376/1000 exactly and 172/125 in lowest terms.
Yes. Divide its numerator and denominator by 8 to get 172/125.
1.376 is equal to 137.6%.
Yes. 1.376 and 1.3760 have the same numerical value. However, 1.376 is written to the thousandths place, while 1.3760 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.376 is ten times as large as 0.1376.
1.376 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred seventy-six thousandths.