Number DigitDecimal in the hundredths place
38.85 in Words
38.85 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
38.85 in words is thirty-eight point eight five.
38.85 Place-Value Breakdown
The digits 3 and 8 form the whole-number part, while 8 in the tenth place and 5 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 3 | tens | 30 |
| Whole part | 8 | ones | 8 |
| Decimal part | 8 | tenth | 8/10 |
| Decimal part | 5 | hundredth | 5/100 |
What Kind of Decimal Is 38.85?
38.85 is a positive terminating decimal greater than 1. It is written to the hundredths place.
Expanded Form of 38.85
38.85 = 30 + 8 + 8/10 + 5/100
38.85 = 38 + 85/100
38.85 = 38 17/20
The final nonzero digit is in the hundredths place, so its value is expressed with a denominator of 100.
How 38.85 Simplifies to 777/20
38.85 = 3885/100
The greatest common divisor of 3885 and 100 is 5.
3885 ÷ 5 = 777
100 ÷ 5 = 20
Therefore, 3885/100 = 777/20.
As a mixed fraction, the value is 38 17/20.
38.85 as a Percentage
To convert 38.85 to a percentage, multiply it by 100.
38.85 × 100 = 3885
Therefore, 38.85 = 3885%.
Decimals Equivalent to 38.85
38.85 = 38.850 = 38.8500
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 |
|---|---|---|---|
| 38.85 | hundredths | 3885/100 | 777/20 |
| 38.850 | thousandths | 38850/1000 | 777/20 |
| 38.8500 | ten-thousandths | 388500/10000 | 777/20 |
A Familiar Fraction Equivalent
The reduced form 777/20 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Whole Part and Fractional Part
This mixed decimal combines the whole part 38 with the fractional part 85/100. In place-value words, "and" marks that boundary.
38.85 on a Number Line
38.85 lies between 38 and 39. It is 0.15 below 39 and 0.85 above 38.
38.85 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 3.885 | three point eight eight five | three and eight hundred eighty-five thousandths | 777/200 | 388.5% | ten times smaller than 38.85 |
| 38.85 | thirty-eight point eight five | thirty-eight and eighty-five hundredths | 777/20 | 3885% | current value |
| 38.850 | thirty-eight point eight five zero | thirty-eight and eight hundred fifty thousandths | 777/20 | 3885% | same numerical value, written to the thousandths place |
| 388.5 | three hundred eighty-eight point five | three hundred eighty-eight and five tenths | 777/2 | 38850% | ten times larger than 38.85 |
Quick Practice
How is 38.85 read digit by digit?
Thirty-eight point eight five.
What is the place-value word form of 38.85?
Thirty-eight and eighty-five hundredths.
What fraction is 38.85 in lowest terms?
777/20.
What percentage is equal to 38.85?
3885%.
What is 38.85 as a mixed fraction?
38 17/20.
Between which whole numbers does 38.85 lie?
Between 38 and 39.
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Frequently Asked Questions
How do you write 38.85 in words?
38.85 in words is thirty-eight point eight five.
Why is 38.85 called thirty-eight and eighty-five hundredths?
There are 2 digits after the point, so the fractional part is expressed in hundredths. Read the complete value as thirty-eight and eighty-five hundredths.
What fraction is 38.85?
38.85 is 3885/100 exactly and 777/20 in lowest terms.
Can 3885/100 be simplified?
Yes. Divide its numerator and denominator by 5 to get 777/20.
What percentage is 38.85?
38.85 is equal to 3885%.
Is 38.85 the same as 38.850?
Yes. 38.85 and 38.850 have the same numerical value. However, 38.85 is written to the hundredths place, while 38.850 is written to the thousandths place and may communicate greater recorded precision.
Is 38.85 larger than 3.885?
Yes. 38.85 is ten times as large as 3.885.
What type of decimal is 38.85?
38.85 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents thirty-eight and eighty-five hundredths.