Number DigitDecimal in the thousandths place
-0.309 in Words
-0.309 is a negative terminating decimal. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
-0.309 in words is negative zero point three zero nine.
-0.309 Place-Value Breakdown
The decimal digits place 3 in the tenth place, 0 in the hundredth place, and 9 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 9 | thousandth | 9/1000 |
What Kind of Decimal Is -0.309?
-0.309 is a negative terminating decimal. It is written to the thousandths place.
Expanded Form of -0.309
-0.309 = -(3/10 + 9/1000)
-0.309 = -(0 + 309/1000)
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why -309/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is -309/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
-0.309 as a Percentage
To convert -0.309 to a percentage, multiply it by 100.
-0.309 × 100 = -30.9
Therefore, -0.309 = -30.9%.
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.
-0.309 on a Number Line
-0.309 lies between -1 and 0. It is 0.691 above -1 and 0.309 below 0.
-0.309 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.0309 | negative zero point zero three zero nine | negative three hundred nine ten-thousandths | -309/10000 | -3.09% | one tenth of -0.309 |
| -0.309 | negative zero point three zero nine | negative three hundred nine thousandths | -309/1000 | -30.9% | current value |
| -0.3090 | negative zero point three zero nine zero | negative three thousand ninety ten-thousandths | -309/1000 | -30.9% | same numerical value, written to the ten-thousandths place |
| -3.09 | negative three point zero nine | negative three and nine hundredths | -309/100 | -309% | ten times -0.309 |
Quick Practice
How is -0.309 read digit by digit?
Negative zero point three zero nine.
What is the place-value word form of -0.309?
Negative three hundred nine thousandths.
What fraction is -0.309 in lowest terms?
-309/1000.
What percentage is equal to -0.309?
-30.9%.
What is the absolute value of -0.309?
0.309.
Between which whole numbers does -0.309 lie?
Between -1 and 0.
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Frequently Asked Questions
How do you write -0.309 in words?
-0.309 in words is negative zero point three zero nine.
Why is -0.309 called negative three hundred nine thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as negative three hundred nine thousandths.
What fraction is -0.309?
-0.309 is -309/1000 exactly and -309/1000 in lowest terms.
Is -309/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is -0.309?
-0.309 is equal to -30.9%.
Is -0.309 the same as -0.3090?
Yes. -0.309 and -0.3090 have the same numerical value. However, -0.309 is written to the thousandths place, while -0.3090 is written to the ten-thousandths place and may communicate greater recorded precision.
Is -0.309 larger than -0.0309?
No. Negative values reverse the comparison; -0.309 is ten times the value of -0.0309.
What type of decimal is -0.309?
-0.309 is a negative terminating decimal. It is written to 3 decimal places and represents negative three hundred nine thousandths.