Decimal in the thousandths place
0.467 in Words
0.467 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.467 in words is zero point four six seven.
0.467 Place-Value Breakdown
The decimal digits place 4 in the tenth place, 6 in the hundredth place, and 7 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 6 | hundredth | 6/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 0.467?
0.467 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.467
0.467 = 4/10 + 6/100 + 7/1000
0.467 = 0 + 467/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 467/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 467/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.467 as a Percentage
To convert 0.467 to a percentage, multiply it by 100.
0.467 × 100 = 46.7
Therefore, 0.467 = 46.7%.
Decimals Equivalent to 0.467
0.467 = 0.4670 = 0.46700
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 |
|---|---|---|---|
| 0.467 | thousandths | 467/1000 | 467/1000 |
| 0.4670 | ten-thousandths | 4670/10000 | 467/1000 |
| 0.46700 | hundred-thousandths | 46700/100000 | 467/1000 |
Visual Model of 0.467
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.467 on a Number Line
0.467 lies between 0.466 and 0.468. It is 0.533 below 1 and 0.467 above 0.
On a number line from 0 to 1, it appears 46.7% of the way from 0 to 1.
How Far Is 0.467 from 1?
1 − 0.467 = 0.533
1 − 467/1000 = 533/1000
0.467 is five hundred thirty-three thousandths below 1. The remaining part is 533/1000 = 533/1000 = 53.3%.
0.467 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0467 | zero point zero four six seven | four hundred sixty-seven ten-thousandths | 467/10000 | 4.67% | ten times smaller than 0.467 |
| 0.467 | zero point four six seven | four hundred sixty-seven thousandths | 467/1000 | 46.7% | current value |
| 0.4670 | zero point four six seven zero | four thousand six hundred seventy ten-thousandths | 467/1000 | 46.7% | same numerical value, written to the ten-thousandths place |
| 4.67 | four point six seven | four and sixty-seven hundredths | 467/100 | 467% | ten times larger than 0.467 |
Quick Practice
How is 0.467 read digit by digit?
Zero point four six seven.
What is the place-value word form of 0.467?
Four hundred sixty-seven thousandths.
What fraction is 0.467 in lowest terms?
467/1000.
What percentage is equal to 0.467?
46.7%.
Which is greater: 0.467 or 0.0467?
0.467 is ten times as large.
Is 0.467 equal to 0.4670?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.467 in words?
0.467 in words is zero point four six seven.
Why is 0.467 called four hundred sixty-seven thousandths?
Because the digit 4 is in the thousandths place. Therefore, 0.467 represents four hundred sixty-seven thousandths.
What fraction is 0.467?
0.467 is 467/1000 exactly and 467/1000 in lowest terms.
Is 467/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.467?
0.467 is equal to 46.7%.
Is 0.467 the same as 0.4670?
Yes. 0.467 and 0.4670 have the same numerical value. However, 0.467 is written to the thousandths place, while 0.4670 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.467 larger than 0.0467?
Yes. 0.467 is ten times as large as 0.0467.
What type of decimal is 0.467?
0.467 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents four hundred sixty-seven thousandths.