Number DigitDecimal in the thousandths place
-1.345 in Words
-1.345 is a negative terminating decimal. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
-1.345 in words is negative one point three four five.
-1.345 Place-Value Breakdown
The digits 1 form the whole-number part, while 3 in the tenth place, 4 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is -1.345?
-1.345 is a negative terminating decimal. It is written to the thousandths place.
Expanded Form of -1.345
-1.345 = -(1 + 3/10 + 4/100 + 5/1000)
-1.345 = -(1 + 345/1000)
-1.345 = -1 69/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How -1.345 Simplifies to -269/200
-1.345 = -1345/1000
The greatest common divisor of 1345 and 1000 is 5.
-1345 ÷ 5 = -269
1000 ÷ 5 = 200
Therefore, -1345/1000 = -269/200.
As a mixed fraction, the value is -1 69/200.
-1.345 as a Percentage
To convert -1.345 to a percentage, multiply it by 100.
-1.345 × 100 = -134.5
Therefore, -1.345 = -134.5%.
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 345/1000. 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.
-1.345 on a Number Line
-1.345 lies between -2 and -1. It is 0.655 above -2 and 0.345 below -1.
-1.345 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.1345 | negative zero point one three four five | negative one thousand three hundred forty-five ten-thousandths | -269/2000 | -13.45% | one tenth of -1.345 |
| -1.345 | negative one point three four five | negative one and three hundred forty-five thousandths | -269/200 | -134.5% | current value |
| -1.3450 | negative one point three four five zero | negative one and three thousand four hundred fifty ten-thousandths | -269/200 | -134.5% | same numerical value, written to the ten-thousandths place |
| -13.45 | negative thirteen point four five | negative thirteen and forty-five hundredths | -269/20 | -1345% | ten times -1.345 |
Quick Practice
How is -1.345 read digit by digit?
Negative one point three four five.
What is the place-value word form of -1.345?
Negative one and three hundred forty-five thousandths.
What fraction is -1.345 in lowest terms?
-269/200.
What percentage is equal to -1.345?
-134.5%.
What is the absolute value of -1.345?
1.345.
Between which whole numbers does -1.345 lie?
Between -2 and -1.
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Frequently Asked Questions
How do you write -1.345 in words?
-1.345 in words is negative one point three four five.
Why is -1.345 called negative one and three hundred forty-five thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as negative one and three hundred forty-five thousandths.
What fraction is -1.345?
-1.345 is -1345/1000 exactly and -269/200 in lowest terms.
Can -1345/1000 be simplified?
Yes. Divide its numerator and denominator by 5 to get -269/200.
What percentage is -1.345?
-1.345 is equal to -134.5%.
Is -1.345 the same as -1.3450?
Yes. -1.345 and -1.3450 have the same numerical value. However, -1.345 is written to the thousandths place, while -1.3450 is written to the ten-thousandths place and may communicate greater recorded precision.
Is -1.345 larger than -0.1345?
No. Negative values reverse the comparison; -1.345 is ten times the value of -0.1345.
What type of decimal is -1.345?
-1.345 is a negative terminating decimal. It is written to 3 decimal places and represents negative one and three hundred forty-five thousandths.