Number DigitDecimal in the thousandths place
-5.173 in Words
-5.173 is a negative terminating decimal. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
-5.173 in words is negative five point one seven three.
-5.173 Place-Value Breakdown
The digits 5 form the whole-number part, while 1 in the tenth place, 7 in the hundredth place, and 3 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 5 | ones | 5 |
| Decimal part | 1 | tenth | 1/10 |
| Decimal part | 7 | hundredth | 7/100 |
| Decimal part | 3 | thousandth | 3/1000 |
What Kind of Decimal Is -5.173?
-5.173 is a negative terminating decimal. It is written to the thousandths place.
Expanded Form of -5.173
-5.173 = -(5 + 1/10 + 7/100 + 3/1000)
-5.173 = -(5 + 173/1000)
-5.173 = -5 173/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why -5173/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is -5173/1000.
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 -5 173/1000.
-5.173 as a Percentage
To convert -5.173 to a percentage, multiply it by 100.
-5.173 × 100 = -517.3
Therefore, -5.173 = -517.3%.
Whole Part and Fractional Part
This mixed decimal combines the whole part 5 with the fractional part 173/1000. 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.
-5.173 on a Number Line
-5.173 lies between -6 and -5. It is 0.827 above -6 and 0.173 below -5.
-5.173 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.5173 | negative zero point five one seven three | negative five thousand one hundred seventy-three ten-thousandths | -5173/10000 | -51.73% | one tenth of -5.173 |
| -5.173 | negative five point one seven three | negative five and one hundred seventy-three thousandths | -5173/1000 | -517.3% | current value |
| -5.1730 | negative five point one seven three zero | negative five and one thousand seven hundred thirty ten-thousandths | -5173/1000 | -517.3% | same numerical value, written to the ten-thousandths place |
| -51.73 | negative fifty-one point seven three | negative fifty-one and seventy-three hundredths | -5173/100 | -5173% | ten times -5.173 |
Quick Practice
How is -5.173 read digit by digit?
Negative five point one seven three.
What is the place-value word form of -5.173?
Negative five and one hundred seventy-three thousandths.
What fraction is -5.173 in lowest terms?
-5173/1000.
What percentage is equal to -5.173?
-517.3%.
What is the absolute value of -5.173?
5.173.
Between which whole numbers does -5.173 lie?
Between -6 and -5.
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Frequently Asked Questions
How do you write -5.173 in words?
-5.173 in words is negative five point one seven three.
Why is -5.173 called negative five and one hundred seventy-three thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as negative five and one hundred seventy-three thousandths.
What fraction is -5.173?
-5.173 is -5173/1000 exactly and -5173/1000 in lowest terms.
Is -5173/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is -5.173?
-5.173 is equal to -517.3%.
Is -5.173 the same as -5.1730?
Yes. -5.173 and -5.1730 have the same numerical value. However, -5.173 is written to the thousandths place, while -5.1730 is written to the ten-thousandths place and may communicate greater recorded precision.
Is -5.173 larger than -0.5173?
No. Negative values reverse the comparison; -5.173 is ten times the value of -0.5173.
What type of decimal is -5.173?
-5.173 is a negative terminating decimal. It is written to 3 decimal places and represents negative five and one hundred seventy-three thousandths.