Quick Answer: What Is The Rule For Squaring Negative Numbers?

Why does my calculator say a negative squared is negative?

If with an expression-input calculator you enter “-5²”, you will get -25.

This is because the ² operation binds more tightly than negation, as others have said.

To calculate the square of -5, you would need to enter “(-5)²”..

Why is i the square root of negative one?

Here, the term “imaginary” is used, because there is no real number having a negative square. There are two complex square roots of −1, namely +i and −i, just as there are two complex square roots of every real number other than zero (which has one double square root).

What is 10 to the negative power of 2?

Negative powersNamePowerNumbertenth−10.1hundredth−20.01thousandth−30.001ten-thousandth (Myriadth)−40.000 122 more rows

Can you square zero?

Zero squared is (0*0) is absolutely zero and its square root(0^0.5) is also zero.

What is the square of 5?

2.23606797749978969640917366873127623544061835961152572427089… (sequence A002163 in the OEIS). which can be rounded down to 2.236 to within 99.99% accuracy. The approximation 16172 (≈ 2.23611) for the square root of five can be used.

Is negative 1 squared positive?

Square of any negative number is always positive!!! Unless you’re trying to say negative of squared 1 which is -(1)^2 and equals to -1.

What is the square of negative 5?

If you multiply a negative number by itself, you get a positive number. If you multiply a positive number by itself, you get a positive number. Therefore, the square root of any negative number is an imaginary number. The square of -5 is 25.

How do you do exponents with negative numbers?

Multiply (or distribute) the exponent outside the parenthesis with every exponent inside the parenthesis, remember that if there is no exponent shown, then the exponent is 1. Step 3: Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents.

Why is squared still negative?

Squaring Removes Any Negative “Squaring” means to multiply a number by itself. Oh no! We started with minus 3 and ended with plus 3. When we square a number, then take the square root, we may not end up with the number we started with!

Can you have a log with a negative base?

If you’re working in the real numbers, you cannot take the log of a negative number; so you cannot use it as a base. But if you’re working with the complex numbers, you can take the log of a negative number; so you can use it as a base for a log.