Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 378/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.378 in Words
1.378 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.378 in words is one point three seven eight.
1.378 Place-Value Breakdown
The digits 1 form the whole-number part, while 3 in the tenth place, 7 in the hundredth place, and 8 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 | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 1.378?
1.378 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.378
1.378 = 1 + 3/10 + 7/100 + 8/1000
1.378 = 1 + 378/1000
1.378 = 1 189/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.378 Simplifies to 689/500
1.378 = 1378/1000
The greatest common divisor of 1378 and 1000 is 2.
1378 ÷ 2 = 689
1000 ÷ 2 = 500
Therefore, 1378/1000 = 689/500.
As a mixed fraction, the value is 1 189/500.
1.378 as a Percentage
To convert 1.378 to a percentage, multiply it by 100.
1.378 × 100 = 137.8
Therefore, 1.378 = 137.8%.
Decimals Equivalent to 1.378
1.378 = 1.3780 = 1.37800
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 |
|---|---|---|---|
| 1.378 | thousandths | 1378/1000 | 689/500 |
| 1.3780 | ten-thousandths | 13780/10000 | 689/500 |
| 1.37800 | hundred-thousandths | 137800/100000 | 689/500 |
1.378 on a Number Line
1.378 lies between 1 and 2. It is 0.622 below 2 and 0.378 above 1.
11.3782
1.378 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1378 | zero point one three seven eight | one thousand three hundred seventy-eight ten-thousandths | 689/5000 | 13.78% | ten times smaller than 1.378 |
| 1.378 | one point three seven eight | one and three hundred seventy-eight thousandths | 689/500 | 137.8% | current value |
| 1.3780 | one point three seven eight zero | one and three thousand seven hundred eighty ten-thousandths | 689/500 | 137.8% | same numerical value, written to the ten-thousandths place |
| 13.78 | thirteen point seven eight | thirteen and seventy-eight hundredths | 689/50 | 1378% | ten times larger than 1.378 |
Quick Practice
How is 1.378 read digit by digit?
One point three seven eight.
What is the place-value word form of 1.378?
One and three hundred seventy-eight thousandths.
What fraction is 1.378 in lowest terms?
689/500.
What percentage is equal to 1.378?
137.8%.
What is 1.378 as a mixed fraction?
1 189/500.
Between which whole numbers does 1.378 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.378 in words?
1.378 in words is one point three seven eight.
Why is 1.378 called one and three hundred seventy-eight thousandths?
Because the digit 3 is in the thousandths place. Therefore, 1.378 represents one and three hundred seventy-eight thousandths.
What fraction is 1.378?
1.378 is 1378/1000 exactly and 689/500 in lowest terms.
Can 1378/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 689/500.
What percentage is 1.378?
1.378 is equal to 137.8%.
Is 1.378 the same as 1.3780?
Yes. 1.378 and 1.3780 have the same numerical value. However, 1.378 is written to the thousandths place, while 1.3780 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.378 larger than 0.1378?
Yes. 1.378 is ten times as large as 0.1378.
What type of decimal is 1.378?
1.378 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred seventy-eight thousandths.