Number DigitDecimal in the thousandths place
42.123 in Words
42.123 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
42.123 in words is forty-two point one two three.
42.123 Place-Value Breakdown
The digits 4 and 2 form the whole-number part, while 1 in the tenth place, 2 in the hundredth place, and 3 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 4 | tens | 40 |
| Whole part | 2 | ones | 2 |
| Decimal part | 1 | tenth | 1/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 3 | thousandth | 3/1000 |
What Kind of Decimal Is 42.123?
42.123 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 42.123
42.123 = 40 + 2 + 1/10 + 2/100 + 3/1000
42.123 = 42 + 123/1000
42.123 = 42 123/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 42123/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 42123/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
As a mixed fraction, the value is 42 123/1000.
42.123 as a Percentage
To convert 42.123 to a percentage, multiply it by 100.
42.123 × 100 = 4212.3
Therefore, 42.123 = 4212.3%.
Decimals Equivalent to 42.123
42.123 = 42.1230 = 42.12300
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 |
|---|---|---|---|
| 42.123 | thousandths | 42123/1000 | 42123/1000 |
| 42.1230 | ten-thousandths | 421230/10000 | 42123/1000 |
| 42.12300 | hundred-thousandths | 4212300/100000 | 42123/1000 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 42 with the fractional part 123/1000. In place-value words, "and" marks that boundary.
42.123 on a Number Line
42.123 lies between 42 and 43. It is 0.877 below 43 and 0.123 above 42.
42.123 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 4.2123 | four point two one two three | four and two thousand one hundred twenty-three ten-thousandths | 42123/10000 | 421.23% | ten times smaller than 42.123 |
| 42.123 | forty-two point one two three | forty-two and one hundred twenty-three thousandths | 42123/1000 | 4212.3% | current value |
| 42.1230 | forty-two point one two three zero | forty-two and one thousand two hundred thirty ten-thousandths | 42123/1000 | 4212.3% | same numerical value, written to the ten-thousandths place |
| 421.23 | four hundred twenty-one point two three | four hundred twenty-one and twenty-three hundredths | 42123/100 | 42123% | ten times larger than 42.123 |
Quick Practice
How is 42.123 read digit by digit?
Forty-two point one two three.
What is the place-value word form of 42.123?
Forty-two and one hundred twenty-three thousandths.
What fraction is 42.123 in lowest terms?
42123/1000.
What percentage is equal to 42.123?
4212.3%.
What is 42.123 as a mixed fraction?
42 123/1000.
Between which whole numbers does 42.123 lie?
Between 42 and 43.
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Frequently Asked Questions
How do you write 42.123 in words?
42.123 in words is forty-two point one two three.
Why is 42.123 called forty-two and one hundred twenty-three thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as forty-two and one hundred twenty-three thousandths.
What fraction is 42.123?
42.123 is 42123/1000 exactly and 42123/1000 in lowest terms.
Is 42123/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 42.123?
42.123 is equal to 4212.3%.
Is 42.123 the same as 42.1230?
Yes. 42.123 and 42.1230 have the same numerical value. However, 42.123 is written to the thousandths place, while 42.1230 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 42.123 larger than 4.2123?
Yes. 42.123 is ten times as large as 4.2123.
What type of decimal is 42.123?
42.123 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents forty-two and one hundred twenty-three thousandths.