Number DigitDecimal in the tenths place
397.4 in Words
397.4 is a positive terminating decimal greater than 1. It has 1 decimal place, and its final digit is in the tenths place.
Direct Answer
397.4 in words is three hundred ninety-seven point four.
397.4 Place-Value Breakdown
The digits 3, 9, and 7 form the whole-number part, while 4 in the tenth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 3 | hundreds | 300 |
| Whole part | 9 | tens | 90 |
| Whole part | 7 | ones | 7 |
| Decimal part | 4 | tenth | 4/10 |
What Kind of Decimal Is 397.4?
397.4 is a positive terminating decimal greater than 1. It is written to the tenths place.
Expanded Form of 397.4
397.4 = 300 + 90 + 7 + 4/10
397.4 = 397 + 4/10
397.4 = 397 2/5
The final nonzero digit is in the tenths place, so its value is expressed with a denominator of 10.
How 397.4 Simplifies to 1987/5
397.4 = 3974/10
The greatest common divisor of 3974 and 10 is 2.
3974 ÷ 2 = 1987
10 ÷ 2 = 5
Therefore, 3974/10 = 1987/5.
As a mixed fraction, the value is 397 2/5.
397.4 as a Percentage
To convert 397.4 to a percentage, multiply it by 100.
397.4 × 100 = 39740
Therefore, 397.4 = 39740%.
Decimals Equivalent to 397.4
397.4 = 397.40 = 397.400
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 |
|---|---|---|---|
| 397.4 | tenths | 3974/10 | 1987/5 |
| 397.40 | hundredths | 39740/100 | 1987/5 |
| 397.400 | thousandths | 397400/1000 | 1987/5 |
Why 397.4 Is Written to the Tenths Place
One digit follows the decimal point, so that digit counts tenths. In 397.4, the final digit 4 represents 4/10.
A Familiar Fraction Equivalent
The reduced form 1987/5 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 397 with the fractional part 4/10. In place-value words, "and" marks that boundary.
397.4 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 39.74 | thirty-nine point seven four | thirty-nine and seventy-four hundredths | 1987/50 | 3974% | ten times smaller than 397.4 |
| 397.4 | three hundred ninety-seven point four | three hundred ninety-seven and four tenths | 1987/5 | 39740% | current value |
| 397.40 | three hundred ninety-seven point four zero | three hundred ninety-seven and forty hundredths | 1987/5 | 39740% | same numerical value, written to the hundredths place |
| 3974.0 | three thousand nine hundred seventy-four point zero | three thousand nine hundred seventy-four | 3974 | 397400% | ten times larger than 397.4 |
Quick Practice
How is 397.4 read digit by digit?
Three hundred ninety-seven point four.
What is the place-value word form of 397.4?
Three hundred ninety-seven and four tenths.
What fraction is 397.4 in lowest terms?
1987/5.
What percentage is equal to 397.4?
39740%.
What is 397.4 as a mixed fraction?
397 2/5.
Between which whole numbers does 397.4 lie?
Between 397 and 398.
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Frequently Asked Questions
How do you write 397.4 in words?
397.4 in words is three hundred ninety-seven point four.
Why is 397.4 called three hundred ninety-seven and four tenths?
There are 1 digits after the point, so the fractional part is expressed in tenths. Read the complete value as three hundred ninety-seven and four tenths.
What fraction is 397.4?
397.4 is 3974/10 exactly and 1987/5 in lowest terms.
Can 3974/10 be simplified?
Yes. Divide its numerator and denominator by 2 to get 1987/5.
What percentage is 397.4?
397.4 is equal to 39740%.
Is 397.4 the same as 397.40?
Yes. 397.4 and 397.40 have the same numerical value. However, 397.4 is written to the tenths place, while 397.40 is written to the hundredths place and may communicate greater recorded precision.
Is 397.4 larger than 39.74?
Yes. 397.4 is ten times as large as 39.74.
What type of decimal is 397.4?
397.4 is a positive terminating decimal greater than 1. It is written to 1 decimal place and represents three hundred ninety-seven and four tenths.