Decimal in the ten-thousandths place
-0.2750 in Words
-0.2750 is a negative terminating decimal. It has 4 decimal places, and its final digit is in the ten-thousandths place.
Direct Answer
-0.2750 in words is negative zero point two seven five zero.
-0.2750 has the same numerical value as -0.275, but it is written to the ten-thousandths place.
-0.2750 Place-Value Breakdown
The decimal digits place 2 in the tenth place, 7 in the hundredth place, 5 in the thousandth place, and 0 in the ten-thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 2 | tenth | 2/10 |
| Decimal part | 7 | hundredth | 7/100 |
| Decimal part | 5 | thousandth | 5/1000 |
| Decimal part | 0 | ten-thousandth | 0/10000 |
What Kind of Decimal Is -0.2750?
-0.2750 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 -0.2750
-0.2750 = -(2/10 + 7/100 + 5/1000)
-0.2750 = -(0 + 2750/10000)
-0.2750 = -2750/10000
The nonzero terms determine the numerical value, while the trailing zero preserves the written ten-thousandths precision.
How -0.2750 Simplifies to -11/40
-0.2750 = -2750/10000
The greatest common divisor of 2750 and 10000 is 250.
-2750 ÷ 250 = -11
10000 ÷ 250 = 40
Therefore, -2750/10000 = -11/40.
-0.2750 as a Percentage
To convert -0.2750 to a percentage, multiply it by 100.
-0.2750 × 100 = -27.5
Therefore, -0.2750 = -27.5%.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that -0.2750 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.
-0.2750 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.0275 | negative zero point zero two seven five | negative two hundred seventy-five ten-thousandths | -11/400 | -2.75% | one tenth of -0.2750 |
| -0.275 | negative zero point two seven five | negative two hundred seventy-five thousandths | -11/40 | -27.5% | same numerical value, fewer written decimal places |
| -0.2750 | negative zero point two seven five zero | negative two thousand seven hundred fifty ten-thousandths | -11/40 | -27.5% | current value |
| -0.27500 | negative zero point two seven five zero zero | negative twenty-seven thousand five hundred hundred-thousandths | -11/40 | -27.5% | same numerical value, written to the hundred-thousandths place |
| -2.75 | negative two point seven five | negative two and seventy-five hundredths | -11/4 | -275% | ten times -0.2750 |
Quick Practice
How is -0.2750 read digit by digit?
Negative zero point two seven five zero.
What is the place-value word form of -0.2750?
Negative two thousand seven hundred fifty ten-thousandths.
What fraction is -0.2750 in lowest terms?
-11/40.
What percentage is equal to -0.2750?
-27.5%.
What is the absolute value of -0.2750?
0.2750.
Between which whole numbers does -0.2750 lie?
Between -1 and 0.
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Frequently Asked Questions
How do you write -0.2750 in words?
-0.2750 in words is negative zero point two seven five zero.
Why is -0.2750 called negative two thousand seven hundred fifty ten-thousandths?
There are 4 digits after the point, so the fractional part is expressed in ten-thousandths. Read the complete value as negative two thousand seven hundred fifty ten-thousandths.
What fraction is -0.2750?
-0.2750 is -2750/10000 exactly and -11/40 in lowest terms.
Can -2750/10000 be simplified?
Yes. Divide its numerator and denominator by 250 to get -11/40.
What percentage is -0.2750?
-0.2750 is equal to -27.5%.
Is -0.2750 the same as -0.27500?
Yes. -0.2750 and -0.27500 have the same numerical value. However, -0.2750 is written to the ten-thousandths place, while -0.27500 is written to the hundred-thousandths place and may communicate greater recorded precision.
Is -0.2750 larger than -0.0275?
No. Negative values reverse the comparison; -0.2750 is ten times the value of -0.0275.
What type of decimal is -0.2750?
-0.2750 is a negative terminating decimal. It is written to 4 decimal places and represents negative two thousand seven hundred fifty ten-thousandths.