Roots And Exponents

Question 1

When answering a question regarding what is bigger a between fraction and its square/ cube, what should you do?

Answer 1

The question asks you about number properties, so you substitute the difficult fraction with an easy one and test the options

Question 2

How do you find the Lcm of fractions with exponents for comparison purposes?

Answer 2

You multiply all the fractions by the largest base+ exponents in the fractions

Question 3

How do you compare sizes of different radicals?

Answer 3

You write each radical in exponent form, then raise it to the least common denominator and compare

Question 4

When estimating exponents what should you do?

Answer 4

Understand that larger exponents are massively bigger, so approximate using only the largest bases and exponents

Question 5

How can you compare different fractions?

Answer 5

You can either convert them to have the same denominator or numerator, whichever is easiest

Question 6

Can you manipulate a compound inequality like an equation?

Answer 6

Yes but remember, what is done to one part of the inequality must be done to all parts. Also important to remember that when dividing or multiplying by A negative number you have to switch the inequality signs

Question 7

What is a compound inequality?

Answer 7

When you combine 2 inequalities into one expression, ie
X >4 and x< 5 into 4<x< 5

Question 8

When comparing the relative size of variables expressed in multiple inequalities what should you do?

Answer 8

Set up a number line to see the comparison graphically