Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 518/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.518 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.518 in words is one point five one eight.
The digits 1 form the whole-number part, while 5 in the tenth place, 1 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 5 | tenth | 5/10 |
| Decimal part | 1 | hundredth | 1/100 |
| Decimal part | 8 | thousandth | 8/1000 |
1.518 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.518 = 1 + 5/10 + 1/100 + 8/1000
1.518 = 1 + 518/1000
1.518 = 1 259/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.518 = 1518/1000
The greatest common divisor of 1518 and 1000 is 2.
1518 ÷ 2 = 759
1000 ÷ 2 = 500
Therefore, 1518/1000 = 759/500.
As a mixed fraction, the value is 1 259/500.
To convert 1.518 to a percentage, multiply it by 100.
1.518 × 100 = 151.8
Therefore, 1.518 = 151.8%.
1.518 = 1.5180 = 1.51800
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 |
|---|---|---|---|
| 1.518 | thousandths | 1518/1000 | 759/500 |
| 1.5180 | ten-thousandths | 15180/10000 | 759/500 |
| 1.51800 | hundred-thousandths | 151800/100000 | 759/500 |
This mixed decimal combines the whole part 1 with the fractional part 518/1000. In place-value words, "and" marks that boundary.
1.518 lies between 1 and 2. It is 0.482 below 2 and 0.518 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1518 | zero point one five one eight | one thousand five hundred eighteen ten-thousandths | 759/5000 | 15.18% | ten times smaller than 1.518 |
| 1.518 | one point five one eight | one and five hundred eighteen thousandths | 759/500 | 151.8% | current value |
| 1.5180 | one point five one eight zero | one and five thousand one hundred eighty ten-thousandths | 759/500 | 151.8% | same numerical value, written to the ten-thousandths place |
| 15.18 | fifteen point one eight | fifteen and eighteen hundredths | 759/50 | 1518% | ten times larger than 1.518 |
One point five one eight.
One and five hundred eighteen thousandths.
759/500.
151.8%.
1 259/500.
Between 1 and 2.
1.518 in words is one point five one eight.
Because the digit 5 is in the thousandths place. Therefore, 1.518 represents one and five hundred eighteen thousandths.
1.518 is 1518/1000 exactly and 759/500 in lowest terms.
Yes. Divide its numerator and denominator by 2 to get 759/500.
1.518 is equal to 151.8%.
Yes. 1.518 and 1.5180 have the same numerical value. However, 1.518 is written to the thousandths place, while 1.5180 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.518 is ten times as large as 0.1518.
1.518 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and five hundred eighteen thousandths.