Why the Zeros After the Point Matter
1.002 begins with 2 decimal-place placeholders before its first nonzero digit. Omitting one would move that digit left and create a different value.
Decimal in the thousandths place
1.002 in Words
1.002 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.002 in words is one point zero zero two.
1.002 Place-Value Breakdown
The digits 1 form the whole-number part, while 0 in the tenth place, 0 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 1.002?
1.002 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Leading-zero pattern: 2 placeholder zeros appear before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of 1.002
1.002 = 1 + 2/1000
1.002 = 1 1/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.002 Simplifies to 501/500
1.002 = 1002/1000
The greatest common divisor of 1002 and 1000 is 2.
1002 ÷ 2 = 501
1000 ÷ 2 = 500
Therefore, 1002/1000 = 501/500.
As a mixed fraction, the value is 1 1/500.
1.002 as a Percentage
To convert 1.002 to a percentage, multiply it by 100.
1.002 × 100 = 100.2
Therefore, 1.002 = 100.2%.
Decimals Equivalent to 1.002
1.002 = 1.0020 = 1.00200
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 |
|---|---|---|---|
| 1.002 | thousandths | 1002/1000 | 501/500 |
| 1.0020 | ten-thousandths | 10020/10000 | 501/500 |
| 1.00200 | hundred-thousandths | 100200/100000 | 501/500 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 2/1000. In place-value words, "and" marks that boundary.
1.002 on a Number Line
1.002 lies between 1 and 2. It is 0.998 below 2 and 0.002 above 1.
11.0022
1.002 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1002 | zero point one zero zero two | one thousand two ten-thousandths | 501/5000 | 10.02% | ten times smaller than 1.002 |
| 1.002 | one point zero zero two | one and two thousandths | 501/500 | 100.2% | current value |
| 1.0020 | one point zero zero two zero | one and twenty ten-thousandths | 501/500 | 100.2% | same numerical value, written to the ten-thousandths place |
| 10.02 | ten point zero two | ten and two hundredths | 501/50 | 1002% | ten times larger than 1.002 |
Quick Practice
How is 1.002 read digit by digit?
One point zero zero two.
What is the place-value word form of 1.002?
One and two thousandths.
What fraction is 1.002 in lowest terms?
501/500.
What percentage is equal to 1.002?
100.2%.
What is 1.002 as a mixed fraction?
1 1/500.
Between which whole numbers does 1.002 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.002 in words?
1.002 in words is one point zero zero two.
Why is 1.002 called one and two thousandths?
Because the digit 2 is in the thousandths place. Therefore, 1.002 represents one and two thousandths.
What fraction is 1.002?
1.002 is 1002/1000 exactly and 501/500 in lowest terms.
Can 1002/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 501/500.
What percentage is 1.002?
1.002 is equal to 100.2%.
Is 1.002 the same as 1.0020?
Yes. 1.002 and 1.0020 have the same numerical value. However, 1.002 is written to the thousandths place, while 1.0020 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.002 larger than 0.1002?
Yes. 1.002 is ten times as large as 0.1002.
What type of decimal is 1.002?
1.002 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and two thousandths.