Question

Describe and correct the error in evaluating the expression. -10^2 = 100

Answer 1

A power in mathematics is defined as the exponent to which a whole number is raised.

There is no error in evaluating the expression because $-10^{2} = 100$

When multiplying two negative numbers, their negative signs tend to cancel out

-a x - a = $a^{2}$

The power for a is given as 2

To solve the above question:

$-10^{2}$

This can be written as:

-10 x -10

= 100

Therefore, there was no error in the evaluation of the expression.

because $-10^{2} = 100$

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Answer 2

Answer:

-10² = -100

Step-by-step explanation:

The error in the evaluation occurred when the negative base (which is -10) was squared altogether outside of the parenthesis. (-10²) still results in -100.

The only time that the result will produce a positive 100 is when you square -10 this way: (-10)² = 100 because the negative sign is included with the squaring of base through the parenthesis.

Hope this helps.