Number DigitDecimal in the thousandths place
-2.998 in Words
-2.998 is a negative terminating decimal. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
-2.998 in words is negative two point nine nine eight.
-2.998 Place-Value Breakdown
The digits 2 form the whole-number part, while 9 in the tenth place, 9 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 2 | ones | 2 |
| Decimal part | 9 | tenth | 9/10 |
| Decimal part | 9 | hundredth | 9/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is -2.998?
-2.998 is a negative terminating decimal. It is written to the thousandths place.
Expanded Form of -2.998
-2.998 = -(2 + 9/10 + 9/100 + 8/1000)
-2.998 = -(2 + 998/1000)
-2.998 = -2 499/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How -2.998 Simplifies to -1499/500
-2.998 = -2998/1000
The greatest common divisor of 2998 and 1000 is 2.
-2998 ÷ 2 = -1499
1000 ÷ 2 = 500
Therefore, -2998/1000 = -1499/500.
As a mixed fraction, the value is -2 499/500.
-2.998 as a Percentage
To convert -2.998 to a percentage, multiply it by 100.
-2.998 × 100 = -299.8
Therefore, -2.998 = -299.8%.
Whole Part and Fractional Part
This mixed decimal combines the whole part 2 with the fractional part 998/1000. 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.
-2.998 on a Number Line
-2.998 lies between -3 and -2. It is 0.002 above -3 and 0.998 below -2.
-2.998 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.2998 | negative zero point two nine nine eight | negative two thousand nine hundred ninety-eight ten-thousandths | -1499/5000 | -29.98% | one tenth of -2.998 |
| -2.998 | negative two point nine nine eight | negative two and nine hundred ninety-eight thousandths | -1499/500 | -299.8% | current value |
| -2.9980 | negative two point nine nine eight zero | negative two and nine thousand nine hundred eighty ten-thousandths | -1499/500 | -299.8% | same numerical value, written to the ten-thousandths place |
| -29.98 | negative twenty-nine point nine eight | negative twenty-nine and ninety-eight hundredths | -1499/50 | -2998% | ten times -2.998 |
Quick Practice
How is -2.998 read digit by digit?
Negative two point nine nine eight.
What is the place-value word form of -2.998?
Negative two and nine hundred ninety-eight thousandths.
What fraction is -2.998 in lowest terms?
-1499/500.
What percentage is equal to -2.998?
-299.8%.
What is the absolute value of -2.998?
2.998.
Between which whole numbers does -2.998 lie?
Between -3 and -2.
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Frequently Asked Questions
How do you write -2.998 in words?
-2.998 in words is negative two point nine nine eight.
Why is -2.998 called negative two and nine hundred ninety-eight thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as negative two and nine hundred ninety-eight thousandths.
What fraction is -2.998?
-2.998 is -2998/1000 exactly and -1499/500 in lowest terms.
Can -2998/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get -1499/500.
What percentage is -2.998?
-2.998 is equal to -299.8%.
Is -2.998 the same as -2.9980?
Yes. -2.998 and -2.9980 have the same numerical value. However, -2.998 is written to the thousandths place, while -2.9980 is written to the ten-thousandths place and may communicate greater recorded precision.
Is -2.998 larger than -0.2998?
No. Negative values reverse the comparison; -2.998 is ten times the value of -0.2998.
What type of decimal is -2.998?
-2.998 is a negative terminating decimal. It is written to 3 decimal places and represents negative two and nine hundred ninety-eight thousandths.