Decimal in the ten-thousandths place
-1.4970 in Words
-1.4970 is a negative terminating decimal. It has 4 decimal places, and its final digit is in the ten-thousandths place.
Direct Answer
-1.4970 in words is negative one point four nine seven zero.
-1.4970 has the same numerical value as -1.497, but it is written to the ten-thousandths place.
-1.4970 Place-Value Breakdown
The digits 1 form the whole-number part, while 4 in the tenth place, 9 in the hundredth place, 7 in the thousandth place, and 0 in the ten-thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 9 | hundredth | 9/100 |
| Decimal part | 7 | thousandth | 7/1000 |
| Decimal part | 0 | ten-thousandth | 0/10000 |
What Kind of Decimal Is -1.4970?
-1.4970 is a negative terminating decimal. It is written to the ten-thousandths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of -1.4970
-1.4970 = -(1 + 4/10 + 9/100 + 7/1000)
-1.4970 = -(1 + 4970/10000)
-1.4970 = -1 497/1000
-1.4970 = -14970/10000
The nonzero terms determine the numerical value, while the trailing zero preserves the written ten-thousandths precision.
How -1.4970 Simplifies to -1497/1000
-1.4970 = -14970/10000
The greatest common divisor of 14970 and 10000 is 10.
-14970 ÷ 10 = -1497
10000 ÷ 10 = 1000
Therefore, -14970/10000 = -1497/1000.
As a mixed fraction, the value is -1 497/1000.
-1.4970 as a Percentage
To convert -1.4970 to a percentage, multiply it by 100.
-1.4970 × 100 = -149.7
Therefore, -1.4970 = -149.7%.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that -1.4970 was written to the ten-thousandths place.
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 4970/10000. 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.
-1.4970 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.1497 | negative zero point one four nine seven | negative one thousand four hundred ninety-seven ten-thousandths | -1497/10000 | -14.97% | one tenth of -1.4970 |
| -1.497 | negative one point four nine seven | negative one and four hundred ninety-seven thousandths | -1497/1000 | -149.7% | same numerical value, fewer written decimal places |
| -1.4970 | negative one point four nine seven zero | negative one and four thousand nine hundred seventy ten-thousandths | -1497/1000 | -149.7% | current value |
| -1.49700 | negative one point four nine seven zero zero | negative one and forty-nine thousand seven hundred hundred-thousandths | -1497/1000 | -149.7% | same numerical value, written to the hundred-thousandths place |
| -14.97 | negative fourteen point nine seven | negative fourteen and ninety-seven hundredths | -1497/100 | -1497% | ten times -1.4970 |
Quick Practice
How is -1.4970 read digit by digit?
Negative one point four nine seven zero.
What is the place-value word form of -1.4970?
Negative one and four thousand nine hundred seventy ten-thousandths.
What fraction is -1.4970 in lowest terms?
-1497/1000.
What percentage is equal to -1.4970?
-149.7%.
What is the absolute value of -1.4970?
1.4970.
Between which whole numbers does -1.4970 lie?
Between -2 and -1.
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Frequently Asked Questions
How do you write -1.4970 in words?
-1.4970 in words is negative one point four nine seven zero.
Why is -1.4970 called negative one and four thousand nine hundred seventy ten-thousandths?
There are 4 digits after the point, so the fractional part is expressed in ten-thousandths. Read the complete value as negative one and four thousand nine hundred seventy ten-thousandths.
What fraction is -1.4970?
-1.4970 is -14970/10000 exactly and -1497/1000 in lowest terms.
Can -14970/10000 be simplified?
Yes. Divide its numerator and denominator by 10 to get -1497/1000.
What percentage is -1.4970?
-1.4970 is equal to -149.7%.
Is -1.4970 the same as -1.49700?
Yes. -1.4970 and -1.49700 have the same numerical value. However, -1.4970 is written to the ten-thousandths place, while -1.49700 is written to the hundred-thousandths place and may communicate greater recorded precision.
Is -1.4970 larger than -0.1497?
No. Negative values reverse the comparison; -1.4970 is ten times the value of -0.1497.
What type of decimal is -1.4970?
-1.4970 is a negative terminating decimal. It is written to 4 decimal places and represents negative one and four thousand nine hundred seventy ten-thousandths.