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Is -4 a imaginary number

Updated: 10/17/2024
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15y ago

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No, both positive and negative numbers are part of the so-called "real" numbers. The so-called "imaginary" numbers are outside the number line.

Imagine the real numbers as a line from left to right, and the imaginary numbers a a separate line, from top to bottom. The place where they meet is zero. Positive is to the right of zero, negative to the left, imaginary numbers like +i or +3i to the top of zero, and negative imaginary numbes like -5i to the bottom of zero.

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Q: Is -4 a imaginary number
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Related questions

What is an unreal number?

Imaginary and complex numbers are an extension of the Real Number system. They are not called unreal. An imaginary number is a non-existent number, like the square root of a negative number. For example, the square root of -4 is 2i (i stands for imaginary). There are also complex numbers, which are defined as the sum of a real number and an imaginary number (e.g. 4 + 3i). An imaginary number does not exist, but can nevertheless be useful in certain applications. An imaginary number is any number that is the product of a real number and the square root of negative one (-1). The square root of -1 is the "unit" of the set of imaginary numbers, and is referred to as "i". As you know, negative numbers cannot have square roots, and so the square root of any negative number is "imaginary". There are also "complex numbers", which are the sum of a real number and an imaginary number. For example 3 + 2i.


Can a number be imaginary but not pure imaginary?

Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.


Can a no real number be a pure imaginary number?

If a number is pure imaginary then it has no real component. If it is a real number, then there is no imaginary component. If it has both real and imaginary components, then it is a complex number.


Can you divide an imaginary number by a real number?

an imaginary number is imaginary so no (i guess) this answer kind of sucks


What is the imaginary number of square root of -4?

Either 2i or -2i, when squared equal -4.


How do you simplify the imaginary number -125?

-125 is NOT an imaginary number.


Is a square root of a negative number a real number?

no, it is an imaginary number represented by an i. For example, the square root of -4 is 2i.


What does 7 divided by imaginary number equal?

That quotient would be an imaginary number. The actual number depends on exactly what imaginary number you divide the 7 by.


Is the difference of a complex number and its conjugate a real imaginary or pure imaginary number?

It is a pure imaginary number.Since (a+bi)-(a-bi) = 2bi, it is a pure imaginary number (it has no real component).


Is -23 an imaginary number?

No, but √-23 is. An imaginary number is the square root of a negative number.


What is the squear root of -4?

2i , where i is the so-called imaginary number: squareroot of -1


Whats an imaginary number?

An imaginary number is a number that has the square root of -1 as one of its factors.