Number DigitDecimal in the hundredths place
64.20 in Words
64.20 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
64.20 in words is sixty-four point two zero.
64.20 has the same numerical value as 64.2, but it is written to the hundredths place.
64.20 Place-Value Breakdown
The digits 6 and 4 form the whole-number part, while 2 in the tenth place and 0 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 6 | tens | 60 |
| Whole part | 4 | ones | 4 |
| Decimal part | 2 | tenth | 2/10 |
| Decimal part | 0 | hundredth | 0/100 |
What Kind of Decimal Is 64.20?
64.20 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 64.20
64.20 = 60 + 4 + 2/10
64.20 = 64 + 20/100
64.20 = 64 1/5
64.20 = 6420/100
The nonzero terms determine the numerical value, while the trailing zero preserves the written hundredths precision.
How 64.20 Simplifies to 321/5
64.20 = 6420/100
The greatest common divisor of 6420 and 100 is 20.
6420 ÷ 20 = 321
100 ÷ 20 = 5
Therefore, 6420/100 = 321/5.
As a mixed fraction, the value is 64 1/5.
64.20 as a Percentage
To convert 64.20 to a percentage, multiply it by 100.
64.20 × 100 = 6420
Therefore, 64.20 = 6420%.
Decimals Equivalent to 64.20
64.2 = 64.20 = 64.200
64.20 and 64.2 have the same numerical value. Their final written places differ, so they may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 64.2 | tenths | 642/10 | 321/5 |
| 64.20 | hundredths | 6420/100 | 321/5 |
| 64.200 | thousandths | 64200/1000 | 321/5 |
A Familiar Fraction Equivalent
The reduced form 321/5 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 64.20 was written to the hundredths place.
Whole Part and Fractional Part
This mixed decimal combines the whole part 64 with the fractional part 20/100. In place-value words, "and" marks that boundary.
64.20 on a Number Line
64.20 lies between 64 and 65. It is 0.8 below 65 and 0.2 above 64.
64.20 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 6.42 | six point four two | six and forty-two hundredths | 321/50 | 642% | ten times smaller than 64.20 |
| 64.2 | sixty-four point two | sixty-four and two tenths | 321/5 | 6420% | same numerical value, fewer written decimal places |
| 64.20 | sixty-four point two zero | sixty-four and twenty hundredths | 321/5 | 6420% | current value |
| 64.200 | sixty-four point two zero zero | sixty-four and two hundred thousandths | 321/5 | 6420% | same numerical value, written to the thousandths place |
| 642.0 | six hundred forty-two point zero | six hundred forty-two | 642 | 64200% | ten times larger than 64.20 |
Quick Practice
How is 64.20 read digit by digit?
Sixty-four point two zero.
What is the place-value word form of 64.20?
Sixty-four and twenty hundredths.
What fraction is 64.20 in lowest terms?
321/5.
What percentage is equal to 64.20?
6420%.
What is 64.20 as a mixed fraction?
64 1/5.
Between which whole numbers does 64.20 lie?
Between 64 and 65.
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Frequently Asked Questions
How do you write 64.20 in words?
64.20 in words is sixty-four point two zero.
Why is 64.20 called sixty-four and twenty hundredths?
There are 2 digits after the point, so the fractional part is expressed in hundredths. Read the complete value as sixty-four and twenty hundredths.
What fraction is 64.20?
64.20 is 6420/100 exactly and 321/5 in lowest terms.
Can 6420/100 be simplified?
Yes. Divide its numerator and denominator by 20 to get 321/5.
What percentage is 64.20?
64.20 is equal to 6420%.
Is 64.20 the same as 64.200?
Yes. 64.20 and 64.200 have the same numerical value. However, 64.20 is written to the hundredths place, while 64.200 is written to the thousandths place and may communicate greater recorded precision.
Is 64.20 larger than 6.42?
Yes. 64.20 is ten times as large as 6.42.
What type of decimal is 64.20?
64.20 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents sixty-four and twenty hundredths.