Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 998/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.998 in Words
1.998 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.998 in words is one point nine nine eight.
1.998 Place-Value Breakdown
The digits 1 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 | 1 | ones | 1 |
| Decimal part | 9 | tenth | 9/10 |
| Decimal part | 9 | hundredth | 9/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 1.998?
1.998 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.998
1.998 = 1 + 9/10 + 9/100 + 8/1000
1.998 = 1 + 998/1000
1.998 = 1 499/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.998 Simplifies to 999/500
1.998 = 1998/1000
The greatest common divisor of 1998 and 1000 is 2.
1998 ÷ 2 = 999
1000 ÷ 2 = 500
Therefore, 1998/1000 = 999/500.
As a mixed fraction, the value is 1 499/500.
1.998 as a Percentage
To convert 1.998 to a percentage, multiply it by 100.
1.998 × 100 = 199.8
Therefore, 1.998 = 199.8%.
Decimals Equivalent to 1.998
1.998 = 1.9980 = 1.99800
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 1.998 | thousandths | 1998/1000 | 999/500 |
| 1.9980 | ten-thousandths | 19980/10000 | 999/500 |
| 1.99800 | hundred-thousandths | 199800/100000 | 999/500 |
1.998 on a Number Line
1.998 lies between 1 and 2. It is 0.002 below 2 and 0.998 above 1.
11.9982
1.998 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1998 | zero point one nine nine eight | one thousand nine hundred ninety-eight ten-thousandths | 999/5000 | 19.98% | ten times smaller than 1.998 |
| 1.998 | one point nine nine eight | one and nine hundred ninety-eight thousandths | 999/500 | 199.8% | current value |
| 1.9980 | one point nine nine eight zero | one and nine thousand nine hundred eighty ten-thousandths | 999/500 | 199.8% | same numerical value, written to the ten-thousandths place |
| 19.98 | nineteen point nine eight | nineteen and ninety-eight hundredths | 999/50 | 1998% | ten times larger than 1.998 |
Quick Practice
How is 1.998 read digit by digit?
One point nine nine eight.
What is the place-value word form of 1.998?
One and nine hundred ninety-eight thousandths.
What fraction is 1.998 in lowest terms?
999/500.
What percentage is equal to 1.998?
199.8%.
What is 1.998 as a mixed fraction?
1 499/500.
Between which whole numbers does 1.998 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.998 in words?
1.998 in words is one point nine nine eight.
Why is 1.998 called one and nine hundred ninety-eight thousandths?
Because the digit 9 is in the thousandths place. Therefore, 1.998 represents one and nine hundred ninety-eight thousandths.
What fraction is 1.998?
1.998 is 1998/1000 exactly and 999/500 in lowest terms.
Can 1998/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 999/500.
What percentage is 1.998?
1.998 is equal to 199.8%.
Is 1.998 the same as 1.9980?
Yes. 1.998 and 1.9980 have the same numerical value. However, 1.998 is written to the thousandths place, while 1.9980 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.998 larger than 0.1998?
Yes. 1.998 is ten times as large as 0.1998.
What type of decimal is 1.998?
1.998 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and nine hundred ninety-eight thousandths.