Number DigitDecimal in the hundredths place
42.16 in Words
42.16 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
42.16 in words is forty-two point one six.
42.16 Place-Value Breakdown
The digits 4 and 2 form the whole-number part, while 1 in the tenth place and 6 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 4 | tens | 40 |
| Whole part | 2 | ones | 2 |
| Decimal part | 1 | tenth | 1/10 |
| Decimal part | 6 | hundredth | 6/100 |
What Kind of Decimal Is 42.16?
42.16 is a positive terminating decimal greater than 1. It is written to the hundredths place.
Expanded Form of 42.16
42.16 = 40 + 2 + 1/10 + 6/100
42.16 = 42 + 16/100
42.16 = 42 4/25
The final nonzero digit is in the hundredths place, so its value is expressed with a denominator of 100.
How 42.16 Simplifies to 1054/25
42.16 = 4216/100
The greatest common divisor of 4216 and 100 is 4.
4216 ÷ 4 = 1054
100 ÷ 4 = 25
Therefore, 4216/100 = 1054/25.
As a mixed fraction, the value is 42 4/25.
42.16 as a Percentage
To convert 42.16 to a percentage, multiply it by 100.
42.16 × 100 = 4216
Therefore, 42.16 = 4216%.
Decimals Equivalent to 42.16
42.16 = 42.160 = 42.1600
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 |
|---|---|---|---|
| 42.16 | hundredths | 4216/100 | 1054/25 |
| 42.160 | thousandths | 42160/1000 | 1054/25 |
| 42.1600 | ten-thousandths | 421600/10000 | 1054/25 |
A Familiar Fraction Equivalent
The reduced form 1054/25 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 42 with the fractional part 16/100. In place-value words, "and" marks that boundary.
42.16 on a Number Line
42.16 lies between 42 and 43. It is 0.84 below 43 and 0.16 above 42.
42.16 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 4.216 | four point two one six | four and two hundred sixteen thousandths | 527/125 | 421.6% | ten times smaller than 42.16 |
| 42.16 | forty-two point one six | forty-two and sixteen hundredths | 1054/25 | 4216% | current value |
| 42.160 | forty-two point one six zero | forty-two and one hundred sixty thousandths | 1054/25 | 4216% | same numerical value, written to the thousandths place |
| 421.6 | four hundred twenty-one point six | four hundred twenty-one and six tenths | 2108/5 | 42160% | ten times larger than 42.16 |
Quick Practice
How is 42.16 read digit by digit?
Forty-two point one six.
What is the place-value word form of 42.16?
Forty-two and sixteen hundredths.
What fraction is 42.16 in lowest terms?
1054/25.
What percentage is equal to 42.16?
4216%.
What is 42.16 as a mixed fraction?
42 4/25.
Between which whole numbers does 42.16 lie?
Between 42 and 43.
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Frequently Asked Questions
How do you write 42.16 in words?
42.16 in words is forty-two point one six.
Why is 42.16 called forty-two and sixteen hundredths?
There are 2 digits after the point, so the fractional part is expressed in hundredths. Read the complete value as forty-two and sixteen hundredths.
What fraction is 42.16?
42.16 is 4216/100 exactly and 1054/25 in lowest terms.
Can 4216/100 be simplified?
Yes. Divide its numerator and denominator by 4 to get 1054/25.
What percentage is 42.16?
42.16 is equal to 4216%.
Is 42.16 the same as 42.160?
Yes. 42.16 and 42.160 have the same numerical value. However, 42.16 is written to the hundredths place, while 42.160 is written to the thousandths place and may communicate greater recorded precision.
Is 42.16 larger than 4.216?
Yes. 42.16 is ten times as large as 4.216.
What type of decimal is 42.16?
42.16 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents forty-two and sixteen hundredths.