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What are some common mistakes students make with scalar numbers?

Answer 1

Avery Adams

Root and exponent errors, algebraic manipulation errors, vectors and matrices errors and trigonometric errors.

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Answer 2

Cameron Andrews

Common mistakes students make with scalar numbers include:

Confusing scalar multiplication with addition or subtraction.
Forgetting to apply the scalar to both the real and imaginary parts of a complex number.
Misunderstanding the properties of scalar multiplication, such as distributing the scalar across a sum or difference.
Neglecting to consider the sign of the scalar when multiplying or dividing by negative numbers.
Failing to recognize that scalar multiplication changes the magnitude but not the direction of a vector or complex number.
Incorrectly applying scalar multiplication in equations or expressions involving variables.
Misinterpreting the scaling effect of multiplying or dividing by a scalar on graphs or geometric figures.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.