Number DigitDecimal in the hundredths place
32.20 in Words
32.20 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
32.20 in words is thirty-two point two zero.
32.20 has the same numerical value as 32.2, but it is written to the hundredths place.
32.20 Place-Value Breakdown
The digits 3 and 2 form the whole-number part, while 2 in the tenth place and 0 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 3 | tens | 30 |
| Whole part | 2 | ones | 2 |
| Decimal part | 2 | tenth | 2/10 |
| Decimal part | 0 | hundredth | 0/100 |
What Kind of Decimal Is 32.20?
32.20 is a positive terminating decimal greater than 1. It is written to the hundredths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of 32.20
32.20 = 30 + 2 + 2/10
32.20 = 32 + 20/100
32.20 = 32 1/5
32.20 = 3220/100
The nonzero terms determine the numerical value, while the trailing zero preserves the written hundredths precision.
How 32.20 Simplifies to 161/5
32.20 = 3220/100
The greatest common divisor of 3220 and 100 is 20.
3220 ÷ 20 = 161
100 ÷ 20 = 5
Therefore, 3220/100 = 161/5.
As a mixed fraction, the value is 32 1/5.
32.20 as a Percentage
To convert 32.20 to a percentage, multiply it by 100.
32.20 × 100 = 3220
Therefore, 32.20 = 3220%.
Decimals Equivalent to 32.20
32.2 = 32.20 = 32.200
32.20 and 32.2 have the same numerical value. Their final written places differ, so they may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 32.2 | tenths | 322/10 | 161/5 |
| 32.20 | hundredths | 3220/100 | 161/5 |
| 32.200 | thousandths | 32200/1000 | 161/5 |
A Familiar Fraction Equivalent
The reduced form 161/5 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that 32.20 was written to the hundredths place.
Whole Part and Fractional Part
This mixed decimal combines the whole part 32 with the fractional part 20/100. In place-value words, "and" marks that boundary.
32.20 on a Number Line
32.20 lies between 32 and 33. It is 0.8 below 33 and 0.2 above 32.
32.20 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 3.22 | three point two two | three and twenty-two hundredths | 161/50 | 322% | ten times smaller than 32.20 |
| 32.2 | thirty-two point two | thirty-two and two tenths | 161/5 | 3220% | same numerical value, fewer written decimal places |
| 32.20 | thirty-two point two zero | thirty-two and twenty hundredths | 161/5 | 3220% | current value |
| 32.200 | thirty-two point two zero zero | thirty-two and two hundred thousandths | 161/5 | 3220% | same numerical value, written to the thousandths place |
| 322.0 | three hundred twenty-two point zero | three hundred twenty-two | 322 | 32200% | ten times larger than 32.20 |
Quick Practice
How is 32.20 read digit by digit?
Thirty-two point two zero.
What is the place-value word form of 32.20?
Thirty-two and twenty hundredths.
What fraction is 32.20 in lowest terms?
161/5.
What percentage is equal to 32.20?
3220%.
What is 32.20 as a mixed fraction?
32 1/5.
Between which whole numbers does 32.20 lie?
Between 32 and 33.
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Frequently Asked Questions
How do you write 32.20 in words?
32.20 in words is thirty-two point two zero.
Why is 32.20 called thirty-two and twenty hundredths?
There are 2 digits after the point, so the fractional part is expressed in hundredths. Read the complete value as thirty-two and twenty hundredths.
What fraction is 32.20?
32.20 is 3220/100 exactly and 161/5 in lowest terms.
Can 3220/100 be simplified?
Yes. Divide its numerator and denominator by 20 to get 161/5.
What percentage is 32.20?
32.20 is equal to 3220%.
Is 32.20 the same as 32.200?
Yes. 32.20 and 32.200 have the same numerical value. However, 32.20 is written to the hundredths place, while 32.200 is written to the thousandths place and may communicate greater recorded precision.
Is 32.20 larger than 3.22?
Yes. 32.20 is ten times as large as 3.22.
What type of decimal is 32.20?
32.20 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents thirty-two and twenty hundredths.