Decimal in the thousandths place
0.977 in Words
0.977 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.977 in words is zero point nine seven seven.
0.977 Place-Value Breakdown
The decimal digits place 9 in the tenth place, 7 in the hundredth place, and 7 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 9 | tenth | 9/10 |
| Decimal part | 7 | hundredth | 7/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 0.977?
0.977 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.977
0.977 = 9/10 + 7/100 + 7/1000
0.977 = 0 + 977/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 977/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 977/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.977 as a Percentage
To convert 0.977 to a percentage, multiply it by 100.
0.977 × 100 = 97.7
Therefore, 0.977 = 97.7%.
Decimals Equivalent to 0.977
0.977 = 0.9770 = 0.97700
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 |
|---|---|---|---|
| 0.977 | thousandths | 977/1000 | 977/1000 |
| 0.9770 | ten-thousandths | 9770/10000 | 977/1000 |
| 0.97700 | hundred-thousandths | 97700/100000 | 977/1000 |
Visual Model of 0.977
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.977 on a Number Line
0.977 lies between 0.976 and 0.978. It is 0.023 below 1 and 0.977 above 0.
On a number line from 0 to 1, it appears 97.7% of the way from 0 to 1.
How Far Is 0.977 from 1?
1 − 0.977 = 0.023
1 − 977/1000 = 23/1000
0.977 is twenty-three thousandths below 1. The remaining part is 23/1000 = 23/1000 = 2.3%.
0.977 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0977 | zero point zero nine seven seven | nine hundred seventy-seven ten-thousandths | 977/10000 | 9.77% | ten times smaller than 0.977 |
| 0.977 | zero point nine seven seven | nine hundred seventy-seven thousandths | 977/1000 | 97.7% | current value |
| 0.9770 | zero point nine seven seven zero | nine thousand seven hundred seventy ten-thousandths | 977/1000 | 97.7% | same numerical value, written to the ten-thousandths place |
| 9.77 | nine point seven seven | nine and seventy-seven hundredths | 977/100 | 977% | ten times larger than 0.977 |
Quick Practice
How is 0.977 read digit by digit?
Zero point nine seven seven.
What is the place-value word form of 0.977?
Nine hundred seventy-seven thousandths.
What fraction is 0.977 in lowest terms?
977/1000.
What percentage is equal to 0.977?
97.7%.
Which is greater: 0.977 or 0.0977?
0.977 is ten times as large.
Is 0.977 equal to 0.9770?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.977 in words?
0.977 in words is zero point nine seven seven.
Why is 0.977 called nine hundred seventy-seven thousandths?
Because the digit 9 is in the thousandths place. Therefore, 0.977 represents nine hundred seventy-seven thousandths.
What fraction is 0.977?
0.977 is 977/1000 exactly and 977/1000 in lowest terms.
Is 977/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.977?
0.977 is equal to 97.7%.
Is 0.977 the same as 0.9770?
Yes. 0.977 and 0.9770 have the same numerical value. However, 0.977 is written to the thousandths place, while 0.9770 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.977 larger than 0.0977?
Yes. 0.977 is ten times as large as 0.0977.
What type of decimal is 0.977?
0.977 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents nine hundred seventy-seven thousandths.