Number DigitDecimal in the thousandths place
-46.889 in Words
-46.889 is a negative terminating decimal. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
-46.889 in words is negative forty-six point eight eight nine.
-46.889 Place-Value Breakdown
The digits 4 and 6 form the whole-number part, while 8 in the tenth place, 8 in the hundredth place, and 9 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 4 | tens | 40 |
| Whole part | 6 | ones | 6 |
| Decimal part | 8 | tenth | 8/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 9 | thousandth | 9/1000 |
What Kind of Decimal Is -46.889?
-46.889 is a negative terminating decimal. It is written to the thousandths place.
Expanded Form of -46.889
-46.889 = -(40 + 6 + 8/10 + 8/100 + 9/1000)
-46.889 = -(46 + 889/1000)
-46.889 = -46 889/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why -46889/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is -46889/1000.
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 -46 889/1000.
-46.889 as a Percentage
To convert -46.889 to a percentage, multiply it by 100.
-46.889 × 100 = -4688.9
Therefore, -46.889 = -4688.9%.
Whole Part and Fractional Part
This mixed decimal combines the whole part 46 with the fractional part 889/1000. 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.
-46.889 on a Number Line
-46.889 lies between -47 and -46. It is 0.111 above -47 and 0.889 below -46.
-46.889 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -4.6889 | negative four point six eight eight nine | negative four and six thousand eight hundred eighty-nine ten-thousandths | -46889/10000 | -468.89% | one tenth of -46.889 |
| -46.889 | negative forty-six point eight eight nine | negative forty-six and eight hundred eighty-nine thousandths | -46889/1000 | -4688.9% | current value |
| -46.8890 | negative forty-six point eight eight nine zero | negative forty-six and eight thousand eight hundred ninety ten-thousandths | -46889/1000 | -4688.9% | same numerical value, written to the ten-thousandths place |
| -468.89 | negative four hundred sixty-eight point eight nine | negative four hundred sixty-eight and eighty-nine hundredths | -46889/100 | -46889% | ten times -46.889 |
Quick Practice
How is -46.889 read digit by digit?
Negative forty-six point eight eight nine.
What is the place-value word form of -46.889?
Negative forty-six and eight hundred eighty-nine thousandths.
What fraction is -46.889 in lowest terms?
-46889/1000.
What percentage is equal to -46.889?
-4688.9%.
What is the absolute value of -46.889?
46.889.
Between which whole numbers does -46.889 lie?
Between -47 and -46.
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Frequently Asked Questions
How do you write -46.889 in words?
-46.889 in words is negative forty-six point eight eight nine.
Why is -46.889 called negative forty-six and eight hundred eighty-nine thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as negative forty-six and eight hundred eighty-nine thousandths.
What fraction is -46.889?
-46.889 is -46889/1000 exactly and -46889/1000 in lowest terms.
Is -46889/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is -46.889?
-46.889 is equal to -4688.9%.
Is -46.889 the same as -46.8890?
Yes. -46.889 and -46.8890 have the same numerical value. However, -46.889 is written to the thousandths place, while -46.8890 is written to the ten-thousandths place and may communicate greater recorded precision.
Is -46.889 larger than -4.6889?
No. Negative values reverse the comparison; -46.889 is ten times the value of -4.6889.
What type of decimal is -46.889?
-46.889 is a negative terminating decimal. It is written to 3 decimal places and represents negative forty-six and eight hundred eighty-nine thousandths.