Number DigitDecimal in the hundred-thousandths place
-0.09672 in Words
-0.09672 is a negative terminating decimal. It has 5 decimal places, and its final digit is in the hundred-thousandths place.
Direct Answer
-0.09672 in words is negative zero point zero nine six seven two.
-0.09672 Place-Value Breakdown
The first digit after the decimal point is 0, and the digit 9 is in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 9 | hundredth | 9/100 |
| Decimal part | 6 | thousandth | 6/1000 |
| Decimal part | 7 | ten-thousandth | 7/10000 |
| Decimal part | 2 | hundred-thousandth | 2/100000 |
What Kind of Decimal Is -0.09672?
-0.09672 is a negative terminating decimal. It is written to the hundred-thousandths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of -0.09672
-0.09672 = -(9/100 + 6/1000 + 7/10000 + 2/100000)
-0.09672 = -(0 + 9672/100000)
The final nonzero digit is in the hundred-thousandths place, so its value is expressed with a denominator of 100000.
How -0.09672 Simplifies to -1209/12500
-0.09672 = -9672/100000
The greatest common divisor of 9672 and 100000 is 8.
-9672 ÷ 8 = -1209
100000 ÷ 8 = 12500
Therefore, -9672/100000 = -1209/12500.
-0.09672 as a Percentage
To convert -0.09672 to a percentage, multiply it by 100.
-0.09672 × 100 = -9.672
Therefore, -0.09672 = -9.672%.
Why the Zeros After the Point Matter
-0.09672 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
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.
-0.09672 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.009672 | negative zero point zero zero nine six seven two | negative nine thousand six hundred seventy-two millionths | -1209/125000 | -0.9672% | one tenth of -0.09672 |
| -0.09672 | negative zero point zero nine six seven two | negative nine thousand six hundred seventy-two hundred-thousandths | -1209/12500 | -9.672% | current value |
| -0.096720 | negative zero point zero nine six seven two zero | negative ninety-six thousand seven hundred twenty millionths | -1209/12500 | -9.672% | same numerical value, written to the millionths place |
| -0.9672 | negative zero point nine six seven two | negative nine thousand six hundred seventy-two ten-thousandths | -1209/1250 | -96.72% | ten times -0.09672 |
Quick Practice
How is -0.09672 read digit by digit?
Negative zero point zero nine six seven two.
What is the place-value word form of -0.09672?
Negative nine thousand six hundred seventy-two hundred-thousandths.
What fraction is -0.09672 in lowest terms?
-1209/12500.
What percentage is equal to -0.09672?
-9.672%.
What is the absolute value of -0.09672?
0.09672.
Between which whole numbers does -0.09672 lie?
Between -1 and 0.
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Frequently Asked Questions
How do you write -0.09672 in words?
-0.09672 in words is negative zero point zero nine six seven two.
Why is -0.09672 called negative nine thousand six hundred seventy-two hundred-thousandths?
There are 5 digits after the point, so the fractional part is expressed in hundred-thousandths. Read the complete value as negative nine thousand six hundred seventy-two hundred-thousandths.
What fraction is -0.09672?
-0.09672 is -9672/100000 exactly and -1209/12500 in lowest terms.
Can -9672/100000 be simplified?
Yes. Divide its numerator and denominator by 8 to get -1209/12500.
What percentage is -0.09672?
-0.09672 is equal to -9.672%.
Is -0.09672 the same as -0.096720?
Yes. -0.09672 and -0.096720 have the same numerical value. However, -0.09672 is written to the hundred-thousandths place, while -0.096720 is written to the millionths place and may communicate greater recorded precision.
Is -0.09672 larger than -0.009672?
No. Negative values reverse the comparison; -0.09672 is ten times the value of -0.009672.
What type of decimal is -0.09672?
-0.09672 is a negative terminating decimal. It is written to 5 decimal places and represents negative nine thousand six hundred seventy-two hundred-thousandths.