Number DigitDecimal in the thousandths place
13.024 in Words
13.024 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
13.024 in words is thirteen point zero two four.
13.024 Place-Value Breakdown
The digits 1 and 3 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 | tens | 10 |
| Whole part | 3 | ones | 3 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 13.024?
13.024 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 13.024
13.024 = 10 + 3 + 2/100 + 4/1000
13.024 = 13 + 24/1000
13.024 = 13 3/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 13.024 Simplifies to 1628/125
13.024 = 13024/1000
The greatest common divisor of 13024 and 1000 is 8.
13024 ÷ 8 = 1628
1000 ÷ 8 = 125
Therefore, 13024/1000 = 1628/125.
As a mixed fraction, the value is 13 3/125.
13.024 as a Percentage
To convert 13.024 to a percentage, multiply it by 100.
13.024 × 100 = 1302.4
Therefore, 13.024 = 1302.4%.
Decimals Equivalent to 13.024
13.024 = 13.0240 = 13.02400
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 |
|---|---|---|---|
| 13.024 | thousandths | 13024/1000 | 1628/125 |
| 13.0240 | ten-thousandths | 130240/10000 | 1628/125 |
| 13.02400 | hundred-thousandths | 1302400/100000 | 1628/125 |
Why the Zeros After the Point Matter
13.024 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
Whole Part and Fractional Part
This mixed decimal combines the whole part 13 with the fractional part 24/1000. In place-value words, "and" marks that boundary.
13.024 on a Number Line
13.024 lies between 13 and 14. It is 0.976 below 14 and 0.024 above 13.
13.024 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 1.3024 | one point three zero two four | one and three thousand twenty-four ten-thousandths | 814/625 | 130.24% | ten times smaller than 13.024 |
| 13.024 | thirteen point zero two four | thirteen and twenty-four thousandths | 1628/125 | 1302.4% | current value |
| 13.0240 | thirteen point zero two four zero | thirteen and two hundred forty ten-thousandths | 1628/125 | 1302.4% | same numerical value, written to the ten-thousandths place |
| 130.24 | one hundred thirty point two four | one hundred thirty and twenty-four hundredths | 3256/25 | 13024% | ten times larger than 13.024 |
Quick Practice
How is 13.024 read digit by digit?
Thirteen point zero two four.
What is the place-value word form of 13.024?
Thirteen and twenty-four thousandths.
What fraction is 13.024 in lowest terms?
1628/125.
What percentage is equal to 13.024?
1302.4%.
What is 13.024 as a mixed fraction?
13 3/125.
Between which whole numbers does 13.024 lie?
Between 13 and 14.
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Frequently Asked Questions
How do you write 13.024 in words?
13.024 in words is thirteen point zero two four.
Why is 13.024 called thirteen and twenty-four thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as thirteen and twenty-four thousandths.
What fraction is 13.024?
13.024 is 13024/1000 exactly and 1628/125 in lowest terms.
Can 13024/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 1628/125.
What percentage is 13.024?
13.024 is equal to 1302.4%.
Is 13.024 the same as 13.0240?
Yes. 13.024 and 13.0240 have the same numerical value. However, 13.024 is written to the thousandths place, while 13.0240 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 13.024 larger than 1.3024?
Yes. 13.024 is ten times as large as 1.3024.
What type of decimal is 13.024?
13.024 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents thirteen and twenty-four thousandths.