Why the Zeros After the Point Matter
1.077 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
Decimal in the thousandths place
1.077 in Words
1.077 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.077 in words is one point zero seven seven.
1.077 Place-Value Breakdown
The digits 1 form the whole-number part, while 0 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 | 0 | tenth | 0/10 |
| Decimal part | 7 | hundredth | 7/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 1.077?
1.077 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of 1.077
1.077 = 1 + 7/100 + 7/1000
1.077 = 1 + 77/1000
1.077 = 1 77/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 1077/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 1077/1000.
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 77/1000.
1.077 as a Percentage
To convert 1.077 to a percentage, multiply it by 100.
1.077 × 100 = 107.7
Therefore, 1.077 = 107.7%.
Decimals Equivalent to 1.077
1.077 = 1.0770 = 1.07700
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 |
|---|---|---|---|
| 1.077 | thousandths | 1077/1000 | 1077/1000 |
| 1.0770 | ten-thousandths | 10770/10000 | 1077/1000 |
| 1.07700 | hundred-thousandths | 107700/100000 | 1077/1000 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 77/1000. In place-value words, "and" marks that boundary.
1.077 on a Number Line
1.077 lies between 1 and 2. It is 0.923 below 2 and 0.077 above 1.
11.0772
1.077 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1077 | zero point one zero seven seven | one thousand seventy-seven ten-thousandths | 1077/10000 | 10.77% | ten times smaller than 1.077 |
| 1.077 | one point zero seven seven | one and seventy-seven thousandths | 1077/1000 | 107.7% | current value |
| 1.0770 | one point zero seven seven zero | one and seven hundred seventy ten-thousandths | 1077/1000 | 107.7% | same numerical value, written to the ten-thousandths place |
| 10.77 | ten point seven seven | ten and seventy-seven hundredths | 1077/100 | 1077% | ten times larger than 1.077 |
Quick Practice
How is 1.077 read digit by digit?
One point zero seven seven.
What is the place-value word form of 1.077?
One and seventy-seven thousandths.
What fraction is 1.077 in lowest terms?
1077/1000.
What percentage is equal to 1.077?
107.7%.
What is 1.077 as a mixed fraction?
1 77/1000.
Between which whole numbers does 1.077 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.077 in words?
1.077 in words is one point zero seven seven.
Why is 1.077 called one and seventy-seven thousandths?
Because the digit 7 is in the thousandths place. Therefore, 1.077 represents one and seventy-seven thousandths.
What fraction is 1.077?
1.077 is 1077/1000 exactly and 1077/1000 in lowest terms.
Is 1077/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 1.077?
1.077 is equal to 107.7%.
Is 1.077 the same as 1.0770?
Yes. 1.077 and 1.0770 have the same numerical value. However, 1.077 is written to the thousandths place, while 1.0770 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.077 larger than 0.1077?
Yes. 1.077 is ten times as large as 0.1077.
What type of decimal is 1.077?
1.077 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and seventy-seven thousandths.