Why the Zeros After the Point Matter
1.042 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
1.042 in Words
1.042 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.042 in words is one point zero four two.
1.042 Place-Value Breakdown
The digits 1 form the whole-number part, while 0 in the tenth place, 4 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 1.042?
1.042 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 1.042
1.042 = 1 + 4/100 + 2/1000
1.042 = 1 + 42/1000
1.042 = 1 21/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.042 Simplifies to 521/500
1.042 = 1042/1000
The greatest common divisor of 1042 and 1000 is 2.
1042 ÷ 2 = 521
1000 ÷ 2 = 500
Therefore, 1042/1000 = 521/500.
As a mixed fraction, the value is 1 21/500.
1.042 as a Percentage
To convert 1.042 to a percentage, multiply it by 100.
1.042 × 100 = 104.2
Therefore, 1.042 = 104.2%.
Decimals Equivalent to 1.042
1.042 = 1.0420 = 1.04200
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 |
|---|---|---|---|
| 1.042 | thousandths | 1042/1000 | 521/500 |
| 1.0420 | ten-thousandths | 10420/10000 | 521/500 |
| 1.04200 | hundred-thousandths | 104200/100000 | 521/500 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 42/1000. In place-value words, "and" marks that boundary.
1.042 on a Number Line
1.042 lies between 1 and 2. It is 0.958 below 2 and 0.042 above 1.
11.0422
1.042 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1042 | zero point one zero four two | one thousand forty-two ten-thousandths | 521/5000 | 10.42% | ten times smaller than 1.042 |
| 1.042 | one point zero four two | one and forty-two thousandths | 521/500 | 104.2% | current value |
| 1.0420 | one point zero four two zero | one and four hundred twenty ten-thousandths | 521/500 | 104.2% | same numerical value, written to the ten-thousandths place |
| 10.42 | ten point four two | ten and forty-two hundredths | 521/50 | 1042% | ten times larger than 1.042 |
Quick Practice
How is 1.042 read digit by digit?
One point zero four two.
What is the place-value word form of 1.042?
One and forty-two thousandths.
What fraction is 1.042 in lowest terms?
521/500.
What percentage is equal to 1.042?
104.2%.
What is 1.042 as a mixed fraction?
1 21/500.
Between which whole numbers does 1.042 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.042 in words?
1.042 in words is one point zero four two.
Why is 1.042 called one and forty-two thousandths?
Because the digit 4 is in the thousandths place. Therefore, 1.042 represents one and forty-two thousandths.
What fraction is 1.042?
1.042 is 1042/1000 exactly and 521/500 in lowest terms.
Can 1042/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 521/500.
What percentage is 1.042?
1.042 is equal to 104.2%.
Is 1.042 the same as 1.0420?
Yes. 1.042 and 1.0420 have the same numerical value. However, 1.042 is written to the thousandths place, while 1.0420 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.042 larger than 0.1042?
Yes. 1.042 is ten times as large as 0.1042.
What type of decimal is 1.042?
1.042 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and forty-two thousandths.