Decimal in the thousandths place
0.426 in Words
0.426 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.426 in words is zero point four two six.
0.426 Place-Value Breakdown
The decimal digits place 4 in the tenth place, 2 in the hundredth place, and 6 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 6 | thousandth | 6/1000 |
What Kind of Decimal Is 0.426?
0.426 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.426
0.426 = 4/10 + 2/100 + 6/1000
0.426 = 0 + 426/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.426 Simplifies to 213/500
0.426 = 426/1000
The greatest common divisor of 426 and 1000 is 2.
426 ÷ 2 = 213
1000 ÷ 2 = 500
Therefore, 426/1000 = 213/500.
0.426 as a Percentage
To convert 0.426 to a percentage, multiply it by 100.
0.426 × 100 = 42.6
Therefore, 0.426 = 42.6%.
Decimals Equivalent to 0.426
0.426 = 0.4260 = 0.42600
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 |
|---|---|---|---|
| 0.426 | thousandths | 426/1000 | 213/500 |
| 0.4260 | ten-thousandths | 4260/10000 | 213/500 |
| 0.42600 | hundred-thousandths | 42600/100000 | 213/500 |
Visual Model of 0.426
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.426 on a Number Line
0.426 lies between 0.425 and 0.427. It is 0.574 below 1 and 0.426 above 0.
On a number line from 0 to 1, it appears 42.6% of the way from 0 to 1.
How Far Is 0.426 from 1?
1 − 0.426 = 0.574
1 − 213/500 = 287/500
0.426 is five hundred seventy-four thousandths below 1. The remaining part is 574/1000 = 287/500 = 57.4%.
0.426 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0426 | zero point zero four two six | four hundred twenty-six ten-thousandths | 213/5000 | 4.26% | ten times smaller than 0.426 |
| 0.426 | zero point four two six | four hundred twenty-six thousandths | 213/500 | 42.6% | current value |
| 0.4260 | zero point four two six zero | four thousand two hundred sixty ten-thousandths | 213/500 | 42.6% | same numerical value, written to the ten-thousandths place |
| 4.26 | four point two six | four and twenty-six hundredths | 213/50 | 426% | ten times larger than 0.426 |
Quick Practice
How is 0.426 read digit by digit?
Zero point four two six.
What is the place-value word form of 0.426?
Four hundred twenty-six thousandths.
What fraction is 0.426 in lowest terms?
213/500.
What percentage is equal to 0.426?
42.6%.
Which is greater: 0.426 or 0.0426?
0.426 is ten times as large.
Is 0.426 equal to 0.4260?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.426 in words?
0.426 in words is zero point four two six.
Why is 0.426 called four hundred twenty-six thousandths?
Because the digit 4 is in the thousandths place. Therefore, 0.426 represents four hundred twenty-six thousandths.
What fraction is 0.426?
0.426 is 426/1000 exactly and 213/500 in lowest terms.
Can 426/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 213/500.
What percentage is 0.426?
0.426 is equal to 42.6%.
Is 0.426 the same as 0.4260?
Yes. 0.426 and 0.4260 have the same numerical value. However, 0.426 is written to the thousandths place, while 0.4260 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.426 larger than 0.0426?
Yes. 0.426 is ten times as large as 0.0426.
What type of decimal is 0.426?
0.426 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents four hundred twenty-six thousandths.