Explain why polynomials can't have negative exponents. What is the opposite of foiling in math? Explain why the sum of -8 and 2 is negative, but the sum of 8 and -2 is positive. What happens when we multiply two sets? Where do you insert parenthesis to make this equation true: ...
What happens when you square a negative number? Provide an example of adding a negative number to a positive number. If x equals a negative number, what is the additive inverse of the number -x? Explain. How, in the adding and subtracting of negative fractions, can we turn the subtra...
But what happens when you add an integer to a floating-point number? Here I'll add an integer to a floating-point number in Jupyter notebook: >>> 2 + 4.0 6.0 You get a floating-point number! Why? Well, generally speaking, floating-point numbers have more precision. Therefore, when ...
When subtracting nearby quantities, the most significant digits in the operands match and cancel each other. There are two kinds of cancellation: catastrophic and benign. Catastrophic cancellation occurs when the operands are subject to rounding errors. For example in the quadratic formula, the ...
Benign cancellation occurs when subtracting exactly known quantities. If x and y have no rounding error, then by Theorem 2 if the subtraction is done with a guard digit, the difference x-y has a very small relative error (less than 2ε). A formula that exhibits catastrophic cancellation can...
Basics of Logarithms (Logs) Logs are, in a sense, the opposite of exponents. Consider the following simple expression: 102 = 100 Here we can say the base of 10 is raised to the second power. Here is an example of a log: Log10(100) = 2 This can be read as: The log base ten ...
Basics of Logarithms (Logs) Logs are, in a sense, the opposite of exponents. Consider the following simple expression: 102 = 100 Here we can say the base of 10 is raised to the second power. Here is an example of a log: Log10(100) = 2 This can be read as: The log base ten ...
How to find the inverse of tan(x) Are the following functions inverses of each other? f(x) = 10x-20 and g(x) = 1x+2 Do you always keep the sign of the largest value when subtracting integers? Factorise by grouping : 2x^3-3x^2+6x+4 ...
Does the absolute value affect the sign of exponents? Why does subtracting a negative make a positive? Assuming that b is positive, solve the following equation for b. ? b ? 1 ( 3 x ? 6 ) d x = 1 What is gamma function and how it is use...
When subtracting nearby quantities, the most significant digits in the operands match and cancel each other. There are two kinds of cancellation: catastrophic and benign. Catastrophic cancellation occurs when the operands are subject to rounding errors. For example in the quadratic formula, the ...