Decimal in the thousandths place
0.746 in Words
0.746 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.746 in words is zero point seven four six.
0.746 Place-Value Breakdown
The decimal digits place 7 in the tenth place, 4 in the hundredth place, and 6 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 | 6 | thousandth | 6/1000 |
What Kind of Decimal Is 0.746?
0.746 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.746
0.746 = 7/10 + 4/100 + 6/1000
0.746 = 0 + 746/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.746 Simplifies to 373/500
0.746 = 746/1000
The greatest common divisor of 746 and 1000 is 2.
746 ÷ 2 = 373
1000 ÷ 2 = 500
Therefore, 746/1000 = 373/500.
0.746 as a Percentage
To convert 0.746 to a percentage, multiply it by 100.
0.746 × 100 = 74.6
Therefore, 0.746 = 74.6%.
Decimals Equivalent to 0.746
0.746 = 0.7460 = 0.74600
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 |
|---|---|---|---|
| 0.746 | thousandths | 746/1000 | 373/500 |
| 0.7460 | ten-thousandths | 7460/10000 | 373/500 |
| 0.74600 | hundred-thousandths | 74600/100000 | 373/500 |
Visual Model of 0.746
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.746 on a Number Line
0.746 lies between 0.745 and 0.747. It is 0.254 below 1 and 0.746 above 0.
On a number line from 0 to 1, it appears 74.6% of the way from 0 to 1.
How Far Is 0.746 from 1?
1 − 0.746 = 0.254
1 − 373/500 = 127/500
0.746 is two hundred fifty-four thousandths below 1. The remaining part is 254/1000 = 127/500 = 25.4%.
0.746 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0746 | zero point zero seven four six | seven hundred forty-six ten-thousandths | 373/5000 | 7.46% | ten times smaller than 0.746 |
| 0.746 | zero point seven four six | seven hundred forty-six thousandths | 373/500 | 74.6% | current value |
| 0.7460 | zero point seven four six zero | seven thousand four hundred sixty ten-thousandths | 373/500 | 74.6% | same numerical value, written to the ten-thousandths place |
| 7.46 | seven point four six | seven and forty-six hundredths | 373/50 | 746% | ten times larger than 0.746 |
Quick Practice
How is 0.746 read digit by digit?
Zero point seven four six.
What is the place-value word form of 0.746?
Seven hundred forty-six thousandths.
What fraction is 0.746 in lowest terms?
373/500.
What percentage is equal to 0.746?
74.6%.
Which is greater: 0.746 or 0.0746?
0.746 is ten times as large.
Is 0.746 equal to 0.7460?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.746 in words?
0.746 in words is zero point seven four six.
Why is 0.746 called seven hundred forty-six thousandths?
Because the digit 7 is in the thousandths place. Therefore, 0.746 represents seven hundred forty-six thousandths.
What fraction is 0.746?
0.746 is 746/1000 exactly and 373/500 in lowest terms.
Can 746/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 373/500.
What percentage is 0.746?
0.746 is equal to 74.6%.
Is 0.746 the same as 0.7460?
Yes. 0.746 and 0.7460 have the same numerical value. However, 0.746 is written to the thousandths place, while 0.7460 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.746 larger than 0.0746?
Yes. 0.746 is ten times as large as 0.0746.
What type of decimal is 0.746?
0.746 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents seven hundred forty-six thousandths.