Decimal in the thousandths place
0.967 in Words
0.967 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.967 in words is zero point nine six seven.
0.967 Place-Value Breakdown
The decimal digits place 9 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 | 9 | tenth | 9/10 |
| Decimal part | 6 | hundredth | 6/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 0.967?
0.967 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.967
0.967 = 9/10 + 6/100 + 7/1000
0.967 = 0 + 967/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 967/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 967/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.967 as a Percentage
To convert 0.967 to a percentage, multiply it by 100.
0.967 × 100 = 96.7
Therefore, 0.967 = 96.7%.
Decimals Equivalent to 0.967
0.967 = 0.9670 = 0.96700
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 |
|---|---|---|---|
| 0.967 | thousandths | 967/1000 | 967/1000 |
| 0.9670 | ten-thousandths | 9670/10000 | 967/1000 |
| 0.96700 | hundred-thousandths | 96700/100000 | 967/1000 |
Visual Model of 0.967
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.967 on a Number Line
0.967 lies between 0.966 and 0.968. It is 0.033 below 1 and 0.967 above 0.
On a number line from 0 to 1, it appears 96.7% of the way from 0 to 1.
How Far Is 0.967 from 1?
1 − 0.967 = 0.033
1 − 967/1000 = 33/1000
0.967 is thirty-three thousandths below 1. The remaining part is 33/1000 = 33/1000 = 3.3%.
0.967 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0967 | zero point zero nine six seven | nine hundred sixty-seven ten-thousandths | 967/10000 | 9.67% | ten times smaller than 0.967 |
| 0.967 | zero point nine six seven | nine hundred sixty-seven thousandths | 967/1000 | 96.7% | current value |
| 0.9670 | zero point nine six seven zero | nine thousand six hundred seventy ten-thousandths | 967/1000 | 96.7% | same numerical value, written to the ten-thousandths place |
| 9.67 | nine point six seven | nine and sixty-seven hundredths | 967/100 | 967% | ten times larger than 0.967 |
Quick Practice
How is 0.967 read digit by digit?
Zero point nine six seven.
What is the place-value word form of 0.967?
Nine hundred sixty-seven thousandths.
What fraction is 0.967 in lowest terms?
967/1000.
What percentage is equal to 0.967?
96.7%.
Which is greater: 0.967 or 0.0967?
0.967 is ten times as large.
Is 0.967 equal to 0.9670?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.967 in words?
0.967 in words is zero point nine six seven.
Why is 0.967 called nine hundred sixty-seven thousandths?
Because the digit 9 is in the thousandths place. Therefore, 0.967 represents nine hundred sixty-seven thousandths.
What fraction is 0.967?
0.967 is 967/1000 exactly and 967/1000 in lowest terms.
Is 967/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.967?
0.967 is equal to 96.7%.
Is 0.967 the same as 0.9670?
Yes. 0.967 and 0.9670 have the same numerical value. However, 0.967 is written to the thousandths place, while 0.9670 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.967 larger than 0.0967?
Yes. 0.967 is ten times as large as 0.0967.
What type of decimal is 0.967?
0.967 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents nine hundred sixty-seven thousandths.