Hints for solving the problems - Apply 1.1

Problem No. 2 –     Circle the true statements.

       5 5 false

       6 ≤ 6 true – This says less than or equal to and 6 is equal to 6.

       7 < 7 false

       12 ≥ 12 true – This says greater than or equal to and 12 is equal to 12.

        1 > 0 true – One is on the right of 0 on the number line, so it is greater.

Problem No. 6 –    Find the absolute values.

      │26│ = 26

      │ 3│ = 3

      │ 0.5│ = 0.5

      │1.9│ = 1.9

      │ -5.18│ = 5.18

Remember absolute value is the distance from zero (0) and the answer will always be positive.

Problem No. 9 –     Find:         =   7 · 7 · 7   =   343

Remember the exponent tells how many time you multiply the base as a factor.

Problem No. 14 –    Rewrite using exponents:   10 · 10 · 10 · 10   =  

Remember 10 is the base and it is multiplied as a factor 4 times.

Problem No. 16 – Given the sets P and Q below, determine whether the following statements are true or false.

         P = {3, 5, 7, 9, 11}

         Q = {1, 3, 6, 9, 12, 15}

a.    P Q   This says is P a subset of Q, meaning all the elements in P      must also be in Q. False.

b.     Q P   This says Q is not a subset of P, meaning there are elements in Q that are not in P. True.

c.     3 P This says 3 is not an element of P, which is False, because 3 is an element of P.

d.  3 Q  This says 3 is an element of Q, which it is, so the statement is true.

Remember has to do with comparing the sets with each other. Also has to do with the elements in each set.

Problem No. 20    –      Find:      │-5²│ - │3³│

First raise to a power inside of the absolute value symbols.

                     │-25│ - │27│

Now drop the absolute value symbols.

                   25 - 27 =    -2     the answer

Problem No. 24   –        Find:     

Raise a power to a power first and they multiply the products.

                16 · 81   =    1296    the answer