Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 588/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.588 in Words
1.588 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.588 in words is one point five eight eight.
1.588 Place-Value Breakdown
The digits 1 form the whole-number part, while 5 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 | 5 | tenth | 5/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 1.588?
1.588 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.588
1.588 = 1 + 5/10 + 8/100 + 8/1000
1.588 = 1 + 588/1000
1.588 = 1 147/250
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.588 Simplifies to 397/250
1.588 = 1588/1000
The greatest common divisor of 1588 and 1000 is 4.
1588 ÷ 4 = 397
1000 ÷ 4 = 250
Therefore, 1588/1000 = 397/250.
As a mixed fraction, the value is 1 147/250.
1.588 as a Percentage
To convert 1.588 to a percentage, multiply it by 100.
1.588 × 100 = 158.8
Therefore, 1.588 = 158.8%.
Decimals Equivalent to 1.588
1.588 = 1.5880 = 1.58800
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 |
|---|---|---|---|
| 1.588 | thousandths | 1588/1000 | 397/250 |
| 1.5880 | ten-thousandths | 15880/10000 | 397/250 |
| 1.58800 | hundred-thousandths | 158800/100000 | 397/250 |
1.588 on a Number Line
1.588 lies between 1 and 2. It is 0.412 below 2 and 0.588 above 1.
11.5882
1.588 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1588 | zero point one five eight eight | one thousand five hundred eighty-eight ten-thousandths | 397/2500 | 15.88% | ten times smaller than 1.588 |
| 1.588 | one point five eight eight | one and five hundred eighty-eight thousandths | 397/250 | 158.8% | current value |
| 1.5880 | one point five eight eight zero | one and five thousand eight hundred eighty ten-thousandths | 397/250 | 158.8% | same numerical value, written to the ten-thousandths place |
| 15.88 | fifteen point eight eight | fifteen and eighty-eight hundredths | 397/25 | 1588% | ten times larger than 1.588 |
Quick Practice
How is 1.588 read digit by digit?
One point five eight eight.
What is the place-value word form of 1.588?
One and five hundred eighty-eight thousandths.
What fraction is 1.588 in lowest terms?
397/250.
What percentage is equal to 1.588?
158.8%.
What is 1.588 as a mixed fraction?
1 147/250.
Between which whole numbers does 1.588 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.588 in words?
1.588 in words is one point five eight eight.
Why is 1.588 called one and five hundred eighty-eight thousandths?
Because the digit 5 is in the thousandths place. Therefore, 1.588 represents one and five hundred eighty-eight thousandths.
What fraction is 1.588?
1.588 is 1588/1000 exactly and 397/250 in lowest terms.
Can 1588/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 397/250.
What percentage is 1.588?
1.588 is equal to 158.8%.
Is 1.588 the same as 1.5880?
Yes. 1.588 and 1.5880 have the same numerical value. However, 1.588 is written to the thousandths place, while 1.5880 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.588 larger than 0.1588?
Yes. 1.588 is ten times as large as 0.1588.
What type of decimal is 1.588?
1.588 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and five hundred eighty-eight thousandths.