Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 505/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.505 in Words
1.505 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.505 in words is one point five zero five.
1.505 Place-Value Breakdown
The digits 1 form the whole-number part, while 5 in the tenth place, 0 in the hundredth place, and 5 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 | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 1.505?
1.505 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.505
1.505 = 1 + 5/10 + 5/1000
1.505 = 1 + 505/1000
1.505 = 1 101/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.505 Simplifies to 301/200
1.505 = 1505/1000
The greatest common divisor of 1505 and 1000 is 5.
1505 ÷ 5 = 301
1000 ÷ 5 = 200
Therefore, 1505/1000 = 301/200.
As a mixed fraction, the value is 1 101/200.
1.505 as a Percentage
To convert 1.505 to a percentage, multiply it by 100.
1.505 × 100 = 150.5
Therefore, 1.505 = 150.5%.
Decimals Equivalent to 1.505
1.505 = 1.5050 = 1.50500
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 |
|---|---|---|---|
| 1.505 | thousandths | 1505/1000 | 301/200 |
| 1.5050 | ten-thousandths | 15050/10000 | 301/200 |
| 1.50500 | hundred-thousandths | 150500/100000 | 301/200 |
1.505 on a Number Line
1.505 lies between 1 and 2. It is 0.495 below 2 and 0.505 above 1.
11.5052
1.505 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1505 | zero point one five zero five | one thousand five hundred five ten-thousandths | 301/2000 | 15.05% | ten times smaller than 1.505 |
| 1.505 | one point five zero five | one and five hundred five thousandths | 301/200 | 150.5% | current value |
| 1.5050 | one point five zero five zero | one and five thousand fifty ten-thousandths | 301/200 | 150.5% | same numerical value, written to the ten-thousandths place |
| 15.05 | fifteen point zero five | fifteen and five hundredths | 301/20 | 1505% | ten times larger than 1.505 |
Quick Practice
How is 1.505 read digit by digit?
One point five zero five.
What is the place-value word form of 1.505?
One and five hundred five thousandths.
What fraction is 1.505 in lowest terms?
301/200.
What percentage is equal to 1.505?
150.5%.
What is 1.505 as a mixed fraction?
1 101/200.
Between which whole numbers does 1.505 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.505 in words?
1.505 in words is one point five zero five.
Why is 1.505 called one and five hundred five thousandths?
Because the digit 5 is in the thousandths place. Therefore, 1.505 represents one and five hundred five thousandths.
What fraction is 1.505?
1.505 is 1505/1000 exactly and 301/200 in lowest terms.
Can 1505/1000 be simplified?
Yes. Divide its numerator and denominator by 5 to get 301/200.
What percentage is 1.505?
1.505 is equal to 150.5%.
Is 1.505 the same as 1.5050?
Yes. 1.505 and 1.5050 have the same numerical value. However, 1.505 is written to the thousandths place, while 1.5050 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.505 larger than 0.1505?
Yes. 1.505 is ten times as large as 0.1505.
What type of decimal is 1.505?
1.505 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and five hundred five thousandths.