Number DigitDecimal in the hundredths place
-42.08 in Words
-42.08 is a negative terminating decimal. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
-42.08 in words is negative forty-two point zero eight.
-42.08 Place-Value Breakdown
The digits 4 and 2 form the whole-number part, while 0 in the tenth place and 8 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 4 | tens | 40 |
| Whole part | 2 | ones | 2 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 8 | hundredth | 8/100 |
What Kind of Decimal Is -42.08?
-42.08 is a negative terminating decimal. It is written to the hundredths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of -42.08
-42.08 = -(40 + 2 + 8/100)
-42.08 = -(42 + 8/100)
-42.08 = -42 2/25
The final nonzero digit is in the hundredths place, so its value is expressed with a denominator of 100.
How -42.08 Simplifies to -1052/25
-42.08 = -4208/100
The greatest common divisor of 4208 and 100 is 4.
-4208 ÷ 4 = -1052
100 ÷ 4 = 25
Therefore, -4208/100 = -1052/25.
As a mixed fraction, the value is -42 2/25.
-42.08 as a Percentage
To convert -42.08 to a percentage, multiply it by 100.
-42.08 × 100 = -4208
Therefore, -42.08 = -4208%.
Why the Zeros After the Point Matter
-42.08 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
A Familiar Fraction Equivalent
The reduced form -1052/25 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 8/100. In place-value words, "and" marks that boundary.
How the Negative Sign Changes the Reading
Say "negative" once before the complete word form. The sign changes the direction and value, but it does not change the decimal places or the fraction-reduction steps.
-42.08 on a Number Line
-42.08 lies between -43 and -42. It is 0.92 above -43 and 0.08 below -42.
-42.08 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -4.208 | negative four point two zero eight | negative four and two hundred eight thousandths | -526/125 | -420.8% | one tenth of -42.08 |
| -42.08 | negative forty-two point zero eight | negative forty-two and eight hundredths | -1052/25 | -4208% | current value |
| -42.080 | negative forty-two point zero eight zero | negative forty-two and eighty thousandths | -1052/25 | -4208% | same numerical value, written to the thousandths place |
| -420.8 | negative four hundred twenty point eight | negative four hundred twenty and eight tenths | -2104/5 | -42080% | ten times -42.08 |
Quick Practice
How is -42.08 read digit by digit?
Negative forty-two point zero eight.
What is the place-value word form of -42.08?
Negative forty-two and eight hundredths.
What fraction is -42.08 in lowest terms?
-1052/25.
What percentage is equal to -42.08?
-4208%.
What is the absolute value of -42.08?
42.08.
Between which whole numbers does -42.08 lie?
Between -43 and -42.
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Frequently Asked Questions
How do you write -42.08 in words?
-42.08 in words is negative forty-two point zero eight.
Why is -42.08 called negative forty-two and eight hundredths?
There are 2 digits after the point, so the fractional part is expressed in hundredths. Read the complete value as negative forty-two and eight hundredths.
What fraction is -42.08?
-42.08 is -4208/100 exactly and -1052/25 in lowest terms.
Can -4208/100 be simplified?
Yes. Divide its numerator and denominator by 4 to get -1052/25.
What percentage is -42.08?
-42.08 is equal to -4208%.
Is -42.08 the same as -42.080?
Yes. -42.08 and -42.080 have the same numerical value. However, -42.08 is written to the hundredths place, while -42.080 is written to the thousandths place and may communicate greater recorded precision.
Is -42.08 larger than -4.208?
No. Negative values reverse the comparison; -42.08 is ten times the value of -4.208.
What type of decimal is -42.08?
-42.08 is a negative terminating decimal. It is written to 2 decimal places and represents negative forty-two and eight hundredths.