Number DigitDecimal in the ten-thousandths place
5.3420 in Words
5.3420 is a positive terminating decimal greater than 1. It has 4 decimal places, and its final digit is in the ten-thousandths place.
Direct Answer
5.3420 in words is five point three four two zero.
5.3420 has the same numerical value as 5.342, but it is written to the ten-thousandths place.
5.3420 Place-Value Breakdown
The digits 5 form the whole-number part, while 3 in the tenth place, 4 in the hundredth place, 2 in the thousandth place, and 0 in the ten-thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 5 | ones | 5 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 2 | thousandth | 2/1000 |
| Decimal part | 0 | ten-thousandth | 0/10000 |
What Kind of Decimal Is 5.3420?
5.3420 is a positive terminating decimal greater than 1. It is written to the ten-thousandths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of 5.3420
5.3420 = 5 + 3/10 + 4/100 + 2/1000
5.3420 = 5 + 3420/10000
5.3420 = 5 171/500
5.3420 = 53420/10000
The nonzero terms determine the numerical value, while the trailing zero preserves the written ten-thousandths precision.
How 5.3420 Simplifies to 2671/500
5.3420 = 53420/10000
The greatest common divisor of 53420 and 10000 is 20.
53420 ÷ 20 = 2671
10000 ÷ 20 = 500
Therefore, 53420/10000 = 2671/500.
As a mixed fraction, the value is 5 171/500.
5.3420 as a Percentage
To convert 5.3420 to a percentage, multiply it by 100.
5.3420 × 100 = 534.2
Therefore, 5.3420 = 534.2%.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that 5.3420 was written to the ten-thousandths place.
Whole Part and Fractional Part
This mixed decimal combines the whole part 5 with the fractional part 3420/10000. In place-value words, "and" marks that boundary.
5.3420 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.5342 | zero point five three four two | five thousand three hundred forty-two ten-thousandths | 2671/5000 | 53.42% | ten times smaller than 5.3420 |
| 5.342 | five point three four two | five and three hundred forty-two thousandths | 2671/500 | 534.2% | same numerical value, fewer written decimal places |
| 5.3420 | five point three four two zero | five and three thousand four hundred twenty ten-thousandths | 2671/500 | 534.2% | current value |
| 5.34200 | five point three four two zero zero | five and thirty-four thousand two hundred hundred-thousandths | 2671/500 | 534.2% | same numerical value, written to the hundred-thousandths place |
| 53.42 | fifty-three point four two | fifty-three and forty-two hundredths | 2671/50 | 5342% | ten times larger than 5.3420 |
Quick Practice
How is 5.3420 read digit by digit?
Five point three four two zero.
What is the place-value word form of 5.3420?
Five and three thousand four hundred twenty ten-thousandths.
What fraction is 5.3420 in lowest terms?
2671/500.
What percentage is equal to 5.3420?
534.2%.
What is 5.3420 as a mixed fraction?
5 171/500.
Between which whole numbers does 5.3420 lie?
Between 5 and 6.
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Frequently Asked Questions
How do you write 5.3420 in words?
5.3420 in words is five point three four two zero.
Why is 5.3420 called five and three thousand four hundred twenty ten-thousandths?
There are 4 digits after the point, so the fractional part is expressed in ten-thousandths. Read the complete value as five and three thousand four hundred twenty ten-thousandths.
What fraction is 5.3420?
5.3420 is 53420/10000 exactly and 2671/500 in lowest terms.
Can 53420/10000 be simplified?
Yes. Divide its numerator and denominator by 20 to get 2671/500.
What percentage is 5.3420?
5.3420 is equal to 534.2%.
Is 5.3420 the same as 5.34200?
Yes. 5.3420 and 5.34200 have the same numerical value. However, 5.3420 is written to the ten-thousandths place, while 5.34200 is written to the hundred-thousandths place and may communicate greater recorded precision.
Is 5.3420 larger than 0.5342?
Yes. 5.3420 is ten times as large as 0.5342.
What type of decimal is 5.3420?
5.3420 is a positive terminating decimal greater than 1. It is written to 4 decimal places and represents five and three thousand four hundred twenty ten-thousandths.