Why the Zeros After the Point Matter
1.059 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
Decimal in the thousandths place
1.059 in Words
1.059 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.059 in words is one point zero five nine.
1.059 Place-Value Breakdown
The digits 1 form the whole-number part, while 0 in the tenth place, 5 in the hundredth place, and 9 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 5 | hundredth | 5/100 |
| Decimal part | 9 | thousandth | 9/1000 |
What Kind of Decimal Is 1.059?
1.059 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of 1.059
1.059 = 1 + 5/100 + 9/1000
1.059 = 1 + 59/1000
1.059 = 1 59/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 1059/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 1059/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
As a mixed fraction, the value is 1 59/1000.
1.059 as a Percentage
To convert 1.059 to a percentage, multiply it by 100.
1.059 × 100 = 105.9
Therefore, 1.059 = 105.9%.
Decimals Equivalent to 1.059
1.059 = 1.0590 = 1.05900
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 |
|---|---|---|---|
| 1.059 | thousandths | 1059/1000 | 1059/1000 |
| 1.0590 | ten-thousandths | 10590/10000 | 1059/1000 |
| 1.05900 | hundred-thousandths | 105900/100000 | 1059/1000 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 59/1000. In place-value words, "and" marks that boundary.
1.059 on a Number Line
1.059 lies between 1 and 2. It is 0.941 below 2 and 0.059 above 1.
11.0592
1.059 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1059 | zero point one zero five nine | one thousand fifty-nine ten-thousandths | 1059/10000 | 10.59% | ten times smaller than 1.059 |
| 1.059 | one point zero five nine | one and fifty-nine thousandths | 1059/1000 | 105.9% | current value |
| 1.0590 | one point zero five nine zero | one and five hundred ninety ten-thousandths | 1059/1000 | 105.9% | same numerical value, written to the ten-thousandths place |
| 10.59 | ten point five nine | ten and fifty-nine hundredths | 1059/100 | 1059% | ten times larger than 1.059 |
Quick Practice
How is 1.059 read digit by digit?
One point zero five nine.
What is the place-value word form of 1.059?
One and fifty-nine thousandths.
What fraction is 1.059 in lowest terms?
1059/1000.
What percentage is equal to 1.059?
105.9%.
What is 1.059 as a mixed fraction?
1 59/1000.
Between which whole numbers does 1.059 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.059 in words?
1.059 in words is one point zero five nine.
Why is 1.059 called one and fifty-nine thousandths?
Because the digit 5 is in the thousandths place. Therefore, 1.059 represents one and fifty-nine thousandths.
What fraction is 1.059?
1.059 is 1059/1000 exactly and 1059/1000 in lowest terms.
Is 1059/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 1.059?
1.059 is equal to 105.9%.
Is 1.059 the same as 1.0590?
Yes. 1.059 and 1.0590 have the same numerical value. However, 1.059 is written to the thousandths place, while 1.0590 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.059 larger than 0.1059?
Yes. 1.059 is ten times as large as 0.1059.
What type of decimal is 1.059?
1.059 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and fifty-nine thousandths.