Exam 5: The Real Number System

Change the decimal to a reduced fraction. $0 . \overline { 42 }$ A) $\frac { 14 } { 33 }$ B) $\frac { 19 } { 45 }$ C) $\frac { 21 } { 50 }$

List the numbers from the following set which are rational numbers. $\left\{ 2 , - 9 , - 3.49 , \sqrt { 4 } , 0 . \overline { 78 } , 10 \pi , \sqrt { 3 } , \frac { 7 } { 7 } \right\}$

Perform the indicated operations. 2[1 + (-12) - (-7)]

Perform the indicated operations and simplify the answer. $\sqrt { 7 } ( \sqrt { 63 } - \sqrt { 175 } )$ A) $- 112 \sqrt { 15 }$ B) $- 112$ C) $- 14 \sqrt { 15 }$ D) $- 14$

Divide. 14 ÷ 14

The following statement illustrates the property of addition. -3 + 1 is a real number.

Find the first five multiples of 30.

Perform the indicated operations and simplify the answer. $- 2 \sqrt { 5 } + 7 \sqrt { 45 } + 8 \sqrt { 80 }$ A) $51 \sqrt { 5 }$ B) Cannot be simplified. C) $189 \sqrt { 5 }$ D) $51 \sqrt { 60 }$

Find the least common multiple of 16 and 96.

Find the common difference. 7, 15, 23, 31, 39, . . .

\text {The following statement illustrates the\underline{\quad\quad} property of multiplication. \sqrt { 8 } \times \sqrt { 8 } is a real number.}

Find all the factors of 37.

In a recent election $\frac { 493 } { 1000 }$ of all votes cast were for Candidate $\mathrm { A }$ and $\frac { 99 } { 200 }$ were for Candidate B. What fraction of ballots were cast for someone other than Candidate A or Candidate B? A) $\frac { 247 } { 250 }$ B) $\frac { 1 } { 500 }$ C) $\frac { 487 } { 500 }$ D) $\frac { 3 } { 250 }$

Multiply. Write the answer in scientific notation. $\left( 2.4 \times 10 ^ { - 5 } \right) \left( 3.8 \times 10 ^ { - 4 } \right)$

Find (a) the first term (b) the common difference (c) the 12th term (d) the sum of the first 12 terms 4, 8, 12, 16, 20, . . .

Change the fraction to a decimal. $\frac { 31 } { 15 }$ A) $0.20 \overline { 6 }$ В) $2 . \overline { 6 }$ C) $2.0 \overline { 6 }$ D) $2 . \overline { 06 }$

Determine under which operations (addition, subtraction, multiplication, division) the system is closed. Real Numbers

Add. (-14) + (-1)

Find all the factors of 45.