Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 502/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.502 in Words
1.502 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.502 in words is one point five zero two.
1.502 Place-Value Breakdown
The digits 1 form the whole-number part, while 5 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 | 5 | tenth | 5/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 1.502?
1.502 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.502
1.502 = 1 + 5/10 + 2/1000
1.502 = 1 + 502/1000
1.502 = 1 251/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.502 Simplifies to 751/500
1.502 = 1502/1000
The greatest common divisor of 1502 and 1000 is 2.
1502 ÷ 2 = 751
1000 ÷ 2 = 500
Therefore, 1502/1000 = 751/500.
As a mixed fraction, the value is 1 251/500.
1.502 as a Percentage
To convert 1.502 to a percentage, multiply it by 100.
1.502 × 100 = 150.2
Therefore, 1.502 = 150.2%.
Decimals Equivalent to 1.502
1.502 = 1.5020 = 1.50200
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 |
|---|---|---|---|
| 1.502 | thousandths | 1502/1000 | 751/500 |
| 1.5020 | ten-thousandths | 15020/10000 | 751/500 |
| 1.50200 | hundred-thousandths | 150200/100000 | 751/500 |
1.502 on a Number Line
1.502 lies between 1 and 2. It is 0.498 below 2 and 0.502 above 1.
11.5022
1.502 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1502 | zero point one five zero two | one thousand five hundred two ten-thousandths | 751/5000 | 15.02% | ten times smaller than 1.502 |
| 1.502 | one point five zero two | one and five hundred two thousandths | 751/500 | 150.2% | current value |
| 1.5020 | one point five zero two zero | one and five thousand twenty ten-thousandths | 751/500 | 150.2% | same numerical value, written to the ten-thousandths place |
| 15.02 | fifteen point zero two | fifteen and two hundredths | 751/50 | 1502% | ten times larger than 1.502 |
Quick Practice
How is 1.502 read digit by digit?
One point five zero two.
What is the place-value word form of 1.502?
One and five hundred two thousandths.
What fraction is 1.502 in lowest terms?
751/500.
What percentage is equal to 1.502?
150.2%.
What is 1.502 as a mixed fraction?
1 251/500.
Between which whole numbers does 1.502 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.502 in words?
1.502 in words is one point five zero two.
Why is 1.502 called one and five hundred two thousandths?
Because the digit 5 is in the thousandths place. Therefore, 1.502 represents one and five hundred two thousandths.
What fraction is 1.502?
1.502 is 1502/1000 exactly and 751/500 in lowest terms.
Can 1502/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 751/500.
What percentage is 1.502?
1.502 is equal to 150.2%.
Is 1.502 the same as 1.5020?
Yes. 1.502 and 1.5020 have the same numerical value. However, 1.502 is written to the thousandths place, while 1.5020 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.502 larger than 0.1502?
Yes. 1.502 is ten times as large as 0.1502.
What type of decimal is 1.502?
1.502 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and five hundred two thousandths.