Decimal in the ten-thousandths place
-0.9770 in Words
-0.9770 is a negative terminating decimal. It has 4 decimal places, and its final digit is in the ten-thousandths place.
Direct Answer
-0.9770 in words is negative zero point nine seven seven zero.
-0.9770 has the same numerical value as -0.977, but it is written to the ten-thousandths place.
-0.9770 Place-Value Breakdown
The decimal digits place 9 in the tenth place, 7 in the hundredth place, 7 in the thousandth place, and 0 in the ten-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 |
| Decimal part | 0 | ten-thousandth | 0/10000 |
What Kind of Decimal Is -0.9770?
-0.9770 is a negative terminating decimal. It is written to the ten-thousandths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of -0.9770
-0.9770 = -(9/10 + 7/100 + 7/1000)
-0.9770 = -(0 + 9770/10000)
-0.9770 = -9770/10000
The nonzero terms determine the numerical value, while the trailing zero preserves the written ten-thousandths precision.
How -0.9770 Simplifies to -977/1000
-0.9770 = -9770/10000
The greatest common divisor of 9770 and 10000 is 10.
-9770 ÷ 10 = -977
10000 ÷ 10 = 1000
Therefore, -9770/10000 = -977/1000.
-0.9770 as a Percentage
To convert -0.9770 to a percentage, multiply it by 100.
-0.9770 × 100 = -97.7
Therefore, -0.9770 = -97.7%.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that -0.9770 was written to the ten-thousandths place.
How the Negative Sign Changes the Reading
Say "negative" once before the complete word form. The sign changes the direction and value, but it does not change the decimal places or the fraction-reduction steps.
-0.9770 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.0977 | negative zero point zero nine seven seven | negative nine hundred seventy-seven ten-thousandths | -977/10000 | -9.77% | one tenth of -0.9770 |
| -0.977 | negative zero point nine seven seven | negative nine hundred seventy-seven thousandths | -977/1000 | -97.7% | same numerical value, fewer written decimal places |
| -0.9770 | negative zero point nine seven seven zero | negative nine thousand seven hundred seventy ten-thousandths | -977/1000 | -97.7% | current value |
| -0.97700 | negative zero point nine seven seven zero zero | negative ninety-seven thousand seven hundred hundred-thousandths | -977/1000 | -97.7% | same numerical value, written to the hundred-thousandths place |
| -9.77 | negative nine point seven seven | negative nine and seventy-seven hundredths | -977/100 | -977% | ten times -0.9770 |
Quick Practice
How is -0.9770 read digit by digit?
Negative zero point nine seven seven zero.
What is the place-value word form of -0.9770?
Negative nine thousand seven hundred seventy ten-thousandths.
What fraction is -0.9770 in lowest terms?
-977/1000.
What percentage is equal to -0.9770?
-97.7%.
What is the absolute value of -0.9770?
0.9770.
Between which whole numbers does -0.9770 lie?
Between -1 and 0.
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Frequently Asked Questions
How do you write -0.9770 in words?
-0.9770 in words is negative zero point nine seven seven zero.
Why is -0.9770 called negative nine thousand seven hundred seventy ten-thousandths?
There are 4 digits after the point, so the fractional part is expressed in ten-thousandths. Read the complete value as negative nine thousand seven hundred seventy ten-thousandths.
What fraction is -0.9770?
-0.9770 is -9770/10000 exactly and -977/1000 in lowest terms.
Can -9770/10000 be simplified?
Yes. Divide its numerator and denominator by 10 to get -977/1000.
What percentage is -0.9770?
-0.9770 is equal to -97.7%.
Is -0.9770 the same as -0.97700?
Yes. -0.9770 and -0.97700 have the same numerical value. However, -0.9770 is written to the ten-thousandths place, while -0.97700 is written to the hundred-thousandths place and may communicate greater recorded precision.
Is -0.9770 larger than -0.0977?
No. Negative values reverse the comparison; -0.9770 is ten times the value of -0.0977.
What type of decimal is -0.9770?
-0.9770 is a negative terminating decimal. It is written to 4 decimal places and represents negative nine thousand seven hundred seventy ten-thousandths.