Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 177/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.177 in Words
1.177 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.177 in words is one point one seven seven.
1.177 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 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 | 1 | tenth | 1/10 |
| Decimal part | 7 | hundredth | 7/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 1.177?
1.177 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.177
1.177 = 1 + 1/10 + 7/100 + 7/1000
1.177 = 1 + 177/1000
1.177 = 1 177/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 1177/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 1177/1000.
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 1 177/1000.
1.177 as a Percentage
To convert 1.177 to a percentage, multiply it by 100.
1.177 × 100 = 117.7
Therefore, 1.177 = 117.7%.
Decimals Equivalent to 1.177
1.177 = 1.1770 = 1.17700
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 |
|---|---|---|---|
| 1.177 | thousandths | 1177/1000 | 1177/1000 |
| 1.1770 | ten-thousandths | 11770/10000 | 1177/1000 |
| 1.17700 | hundred-thousandths | 117700/100000 | 1177/1000 |
1.177 on a Number Line
1.177 lies between 1 and 2. It is 0.823 below 2 and 0.177 above 1.
11.1772
1.177 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1177 | zero point one one seven seven | one thousand one hundred seventy-seven ten-thousandths | 1177/10000 | 11.77% | ten times smaller than 1.177 |
| 1.177 | one point one seven seven | one and one hundred seventy-seven thousandths | 1177/1000 | 117.7% | current value |
| 1.1770 | one point one seven seven zero | one and one thousand seven hundred seventy ten-thousandths | 1177/1000 | 117.7% | same numerical value, written to the ten-thousandths place |
| 11.77 | eleven point seven seven | eleven and seventy-seven hundredths | 1177/100 | 1177% | ten times larger than 1.177 |
Quick Practice
How is 1.177 read digit by digit?
One point one seven seven.
What is the place-value word form of 1.177?
One and one hundred seventy-seven thousandths.
What fraction is 1.177 in lowest terms?
1177/1000.
What percentage is equal to 1.177?
117.7%.
What is 1.177 as a mixed fraction?
1 177/1000.
Between which whole numbers does 1.177 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.177 in words?
1.177 in words is one point one seven seven.
Why is 1.177 called one and one hundred seventy-seven thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.177 represents one and one hundred seventy-seven thousandths.
What fraction is 1.177?
1.177 is 1177/1000 exactly and 1177/1000 in lowest terms.
Is 1177/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 1.177?
1.177 is equal to 117.7%.
Is 1.177 the same as 1.1770?
Yes. 1.177 and 1.1770 have the same numerical value. However, 1.177 is written to the thousandths place, while 1.1770 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.177 larger than 0.1177?
Yes. 1.177 is ten times as large as 0.1177.
What type of decimal is 1.177?
1.177 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred seventy-seven thousandths.