Why the Zeros After the Point Matter
1.024 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
1.024 in Words
1.024 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.024 in words is one point zero two four.
1.024 Place-Value Breakdown
The digits 1 form the whole-number part, while 0 in the tenth place, 2 in the hundredth place, and 4 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 1.024?
1.024 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 1.024
1.024 = 1 + 2/100 + 4/1000
1.024 = 1 + 24/1000
1.024 = 1 3/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.024 Simplifies to 128/125
1.024 = 1024/1000
The greatest common divisor of 1024 and 1000 is 8.
1024 ÷ 8 = 128
1000 ÷ 8 = 125
Therefore, 1024/1000 = 128/125.
As a mixed fraction, the value is 1 3/125.
1.024 as a Percentage
To convert 1.024 to a percentage, multiply it by 100.
1.024 × 100 = 102.4
Therefore, 1.024 = 102.4%.
Decimals Equivalent to 1.024
1.024 = 1.0240 = 1.02400
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 |
|---|---|---|---|
| 1.024 | thousandths | 1024/1000 | 128/125 |
| 1.0240 | ten-thousandths | 10240/10000 | 128/125 |
| 1.02400 | hundred-thousandths | 102400/100000 | 128/125 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 24/1000. In place-value words, "and" marks that boundary.
1.024 on a Number Line
1.024 lies between 1 and 2. It is 0.976 below 2 and 0.024 above 1.
11.0242
1.024 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1024 | zero point one zero two four | one thousand twenty-four ten-thousandths | 64/625 | 10.24% | ten times smaller than 1.024 |
| 1.024 | one point zero two four | one and twenty-four thousandths | 128/125 | 102.4% | current value |
| 1.0240 | one point zero two four zero | one and two hundred forty ten-thousandths | 128/125 | 102.4% | same numerical value, written to the ten-thousandths place |
| 10.24 | ten point two four | ten and twenty-four hundredths | 256/25 | 1024% | ten times larger than 1.024 |
Quick Practice
How is 1.024 read digit by digit?
One point zero two four.
What is the place-value word form of 1.024?
One and twenty-four thousandths.
What fraction is 1.024 in lowest terms?
128/125.
What percentage is equal to 1.024?
102.4%.
What is 1.024 as a mixed fraction?
1 3/125.
Between which whole numbers does 1.024 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.024 in words?
1.024 in words is one point zero two four.
Why is 1.024 called one and twenty-four thousandths?
Because the digit 2 is in the thousandths place. Therefore, 1.024 represents one and twenty-four thousandths.
What fraction is 1.024?
1.024 is 1024/1000 exactly and 128/125 in lowest terms.
Can 1024/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 128/125.
What percentage is 1.024?
1.024 is equal to 102.4%.
Is 1.024 the same as 1.0240?
Yes. 1.024 and 1.0240 have the same numerical value. However, 1.024 is written to the thousandths place, while 1.0240 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.024 larger than 0.1024?
Yes. 1.024 is ten times as large as 0.1024.
What type of decimal is 1.024?
1.024 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and twenty-four thousandths.