Decimal in the thousandths place
10.672 in Words
10.672 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
10.672 in words is ten point six seven two.
10.672 Place-Value Breakdown
The digits 1 and 0 form the whole-number part, while 6 in the tenth place, 7 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | tens | 10 |
| Whole part | 0 | ones | 0 |
| Decimal part | 6 | tenth | 6/10 |
| Decimal part | 7 | hundredth | 7/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 10.672?
10.672 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 10.672
10.672 = 10 + 6/10 + 7/100 + 2/1000
10.672 = 10 + 672/1000
10.672 = 10 84/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 10.672 Simplifies to 1334/125
10.672 = 10672/1000
The greatest common divisor of 10672 and 1000 is 8.
10672 ÷ 8 = 1334
1000 ÷ 8 = 125
Therefore, 10672/1000 = 1334/125.
As a mixed fraction, the value is 10 84/125.
10.672 as a Percentage
To convert 10.672 to a percentage, multiply it by 100.
10.672 × 100 = 1067.2
Therefore, 10.672 = 1067.2%.
Decimals Equivalent to 10.672
10.672 = 10.6720 = 10.67200
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 |
|---|---|---|---|
| 10.672 | thousandths | 10672/1000 | 1334/125 |
| 10.6720 | ten-thousandths | 106720/10000 | 1334/125 |
| 10.67200 | hundred-thousandths | 1067200/100000 | 1334/125 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 10 with the fractional part 672/1000. In place-value words, "and" marks that boundary.
10.672 on a Number Line
10.672 lies between 10 and 11. It is 0.328 below 11 and 0.672 above 10.
10.672 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 1.0672 | one point zero six seven two | one and six hundred seventy-two ten-thousandths | 667/625 | 106.72% | ten times smaller than 10.672 |
| 10.672 | ten point six seven two | ten and six hundred seventy-two thousandths | 1334/125 | 1067.2% | current value |
| 10.6720 | ten point six seven two zero | ten and six thousand seven hundred twenty ten-thousandths | 1334/125 | 1067.2% | same numerical value, written to the ten-thousandths place |
| 106.72 | one hundred six point seven two | one hundred six and seventy-two hundredths | 2668/25 | 10672% | ten times larger than 10.672 |
Quick Practice
How is 10.672 read digit by digit?
Ten point six seven two.
What is the place-value word form of 10.672?
Ten and six hundred seventy-two thousandths.
What fraction is 10.672 in lowest terms?
1334/125.
What percentage is equal to 10.672?
1067.2%.
What is 10.672 as a mixed fraction?
10 84/125.
Between which whole numbers does 10.672 lie?
Between 10 and 11.
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Frequently Asked Questions
How do you write 10.672 in words?
10.672 in words is ten point six seven two.
Why is 10.672 called ten and six hundred seventy-two thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as ten and six hundred seventy-two thousandths.
What fraction is 10.672?
10.672 is 10672/1000 exactly and 1334/125 in lowest terms.
Can 10672/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 1334/125.
What percentage is 10.672?
10.672 is equal to 1067.2%.
Is 10.672 the same as 10.6720?
Yes. 10.672 and 10.6720 have the same numerical value. However, 10.672 is written to the thousandths place, while 10.6720 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 10.672 larger than 1.0672?
Yes. 10.672 is ten times as large as 1.0672.
What type of decimal is 10.672?
10.672 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents ten and six hundred seventy-two thousandths.