Decimal in the thousandths place
-77.909 in Words
-77.909 is a negative terminating decimal. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
-77.909 in words is negative seventy-seven point nine zero nine.
-77.909 Place-Value Breakdown
The digits 7 and 7 form the whole-number part, while 9 in the tenth place, 0 in the hundredth place, and 9 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 7 | tens | 70 |
| Whole part | 7 | ones | 7 |
| Decimal part | 9 | tenth | 9/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 9 | thousandth | 9/1000 |
What Kind of Decimal Is -77.909?
-77.909 is a negative terminating decimal. It is written to the thousandths place.
Expanded Form of -77.909
-77.909 = -(70 + 7 + 9/10 + 9/1000)
-77.909 = -(77 + 909/1000)
-77.909 = -77 909/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why -77909/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is -77909/1000.
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 -77 909/1000.
-77.909 as a Percentage
To convert -77.909 to a percentage, multiply it by 100.
-77.909 × 100 = -7790.9
Therefore, -77.909 = -7790.9%.
Whole Part and Fractional Part
This mixed decimal combines the whole part 77 with the fractional part 909/1000. In place-value words, "and" marks that boundary.
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.
-77.909 on a Number Line
-77.909 lies between -78 and -77. It is 0.091 above -78 and 0.909 below -77.
-77.909 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -7.7909 | negative seven point seven nine zero nine | negative seven and seven thousand nine hundred nine ten-thousandths | -77909/10000 | -779.09% | one tenth of -77.909 |
| -77.909 | negative seventy-seven point nine zero nine | negative seventy-seven and nine hundred nine thousandths | -77909/1000 | -7790.9% | current value |
| -77.9090 | negative seventy-seven point nine zero nine zero | negative seventy-seven and nine thousand ninety ten-thousandths | -77909/1000 | -7790.9% | same numerical value, written to the ten-thousandths place |
| -779.09 | negative seven hundred seventy-nine point zero nine | negative seven hundred seventy-nine and nine hundredths | -77909/100 | -77909% | ten times -77.909 |
Quick Practice
How is -77.909 read digit by digit?
Negative seventy-seven point nine zero nine.
What is the place-value word form of -77.909?
Negative seventy-seven and nine hundred nine thousandths.
What fraction is -77.909 in lowest terms?
-77909/1000.
What percentage is equal to -77.909?
-7790.9%.
What is the absolute value of -77.909?
77.909.
Between which whole numbers does -77.909 lie?
Between -78 and -77.
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Frequently Asked Questions
How do you write -77.909 in words?
-77.909 in words is negative seventy-seven point nine zero nine.
Why is -77.909 called negative seventy-seven and nine hundred nine thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as negative seventy-seven and nine hundred nine thousandths.
What fraction is -77.909?
-77.909 is -77909/1000 exactly and -77909/1000 in lowest terms.
Is -77909/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is -77.909?
-77.909 is equal to -7790.9%.
Is -77.909 the same as -77.9090?
Yes. -77.909 and -77.9090 have the same numerical value. However, -77.909 is written to the thousandths place, while -77.9090 is written to the ten-thousandths place and may communicate greater recorded precision.
Is -77.909 larger than -7.7909?
No. Negative values reverse the comparison; -77.909 is ten times the value of -7.7909.
What type of decimal is -77.909?
-77.909 is a negative terminating decimal. It is written to 3 decimal places and represents negative seventy-seven and nine hundred nine thousandths.