Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 188/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.188 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.188 in words is one point one eight eight.
The digits 1 form the whole-number part, while 1 in the tenth place, 8 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 1 | tenth | 1/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 8 | thousandth | 8/1000 |
1.188 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.188 = 1 + 1/10 + 8/100 + 8/1000
1.188 = 1 + 188/1000
1.188 = 1 47/250
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.188 = 1188/1000
The greatest common divisor of 1188 and 1000 is 4.
1188 ÷ 4 = 297
1000 ÷ 4 = 250
Therefore, 1188/1000 = 297/250.
As a mixed fraction, the value is 1 47/250.
To convert 1.188 to a percentage, multiply it by 100.
1.188 × 100 = 118.8
Therefore, 1.188 = 118.8%.
1.188 = 1.1880 = 1.18800
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 |
|---|---|---|---|
| 1.188 | thousandths | 1188/1000 | 297/250 |
| 1.1880 | ten-thousandths | 11880/10000 | 297/250 |
| 1.18800 | hundred-thousandths | 118800/100000 | 297/250 |
This mixed decimal combines the whole part 1 with the fractional part 188/1000. In place-value words, "and" marks that boundary.
1.188 lies between 1 and 2. It is 0.812 below 2 and 0.188 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1188 | zero point one one eight eight | one thousand one hundred eighty-eight ten-thousandths | 297/2500 | 11.88% | ten times smaller than 1.188 |
| 1.188 | one point one eight eight | one and one hundred eighty-eight thousandths | 297/250 | 118.8% | current value |
| 1.1880 | one point one eight eight zero | one and one thousand eight hundred eighty ten-thousandths | 297/250 | 118.8% | same numerical value, written to the ten-thousandths place |
| 11.88 | eleven point eight eight | eleven and eighty-eight hundredths | 297/25 | 1188% | ten times larger than 1.188 |
One point one eight eight.
One and one hundred eighty-eight thousandths.
297/250.
118.8%.
1 47/250.
Between 1 and 2.
1.188 in words is one point one eight eight.
Because the digit 1 is in the thousandths place. Therefore, 1.188 represents one and one hundred eighty-eight thousandths.
1.188 is 1188/1000 exactly and 297/250 in lowest terms.
Yes. Divide its numerator and denominator by 4 to get 297/250.
1.188 is equal to 118.8%.
Yes. 1.188 and 1.1880 have the same numerical value. However, 1.188 is written to the thousandths place, while 1.1880 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.188 is ten times as large as 0.1188.
1.188 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred eighty-eight thousandths.