Decimal in the thousandths place
0.742 in Words
0.742 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.742 in words is zero point seven four two.
0.742 Place-Value Breakdown
The decimal digits place 7 in the tenth place, 4 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 7 | tenth | 7/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 0.742?
0.742 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.742
0.742 = 7/10 + 4/100 + 2/1000
0.742 = 0 + 742/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.742 Simplifies to 371/500
0.742 = 742/1000
The greatest common divisor of 742 and 1000 is 2.
742 ÷ 2 = 371
1000 ÷ 2 = 500
Therefore, 742/1000 = 371/500.
0.742 as a Percentage
To convert 0.742 to a percentage, multiply it by 100.
0.742 × 100 = 74.2
Therefore, 0.742 = 74.2%.
Decimals Equivalent to 0.742
0.742 = 0.7420 = 0.74200
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 |
|---|---|---|---|
| 0.742 | thousandths | 742/1000 | 371/500 |
| 0.7420 | ten-thousandths | 7420/10000 | 371/500 |
| 0.74200 | hundred-thousandths | 74200/100000 | 371/500 |
Visual Model of 0.742
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.742 on a Number Line
0.742 lies between 0.741 and 0.743. It is 0.258 below 1 and 0.742 above 0.
On a number line from 0 to 1, it appears 74.2% of the way from 0 to 1.
How Far Is 0.742 from 1?
1 − 0.742 = 0.258
1 − 371/500 = 129/500
0.742 is two hundred fifty-eight thousandths below 1. The remaining part is 258/1000 = 129/500 = 25.8%.
0.742 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0742 | zero point zero seven four two | seven hundred forty-two ten-thousandths | 371/5000 | 7.42% | ten times smaller than 0.742 |
| 0.742 | zero point seven four two | seven hundred forty-two thousandths | 371/500 | 74.2% | current value |
| 0.7420 | zero point seven four two zero | seven thousand four hundred twenty ten-thousandths | 371/500 | 74.2% | same numerical value, written to the ten-thousandths place |
| 7.42 | seven point four two | seven and forty-two hundredths | 371/50 | 742% | ten times larger than 0.742 |
Quick Practice
How is 0.742 read digit by digit?
Zero point seven four two.
What is the place-value word form of 0.742?
Seven hundred forty-two thousandths.
What fraction is 0.742 in lowest terms?
371/500.
What percentage is equal to 0.742?
74.2%.
Which is greater: 0.742 or 0.0742?
0.742 is ten times as large.
Is 0.742 equal to 0.7420?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.742 in words?
0.742 in words is zero point seven four two.
Why is 0.742 called seven hundred forty-two thousandths?
Because the digit 7 is in the thousandths place. Therefore, 0.742 represents seven hundred forty-two thousandths.
What fraction is 0.742?
0.742 is 742/1000 exactly and 371/500 in lowest terms.
Can 742/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 371/500.
What percentage is 0.742?
0.742 is equal to 74.2%.
Is 0.742 the same as 0.7420?
Yes. 0.742 and 0.7420 have the same numerical value. However, 0.742 is written to the thousandths place, while 0.7420 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.742 larger than 0.0742?
Yes. 0.742 is ten times as large as 0.0742.
What type of decimal is 0.742?
0.742 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents seven hundred forty-two thousandths.