Exam 5: The Real Number System

Find the greatest common factor of 6, 18, and 30.

The following statement illustrates the property for addition. 15 + 0 = 15

Write each number in scientific notation and then divide. Give the answer in scientific notation. $\frac { 0.0000000000012 } { 0.0004 }$ A) $3 \times 10 ^ { - 7 }$ B) $3 \times 10 ^ { - 9 }$ C) $3 \times 10 ^ { - 8 }$ D) $3 \times 10 ^ { - 10 }$

Perform the indicated operations and reduce the answer to lowest terms. $\left( \frac { 7 } { 8 } - \frac { 5 } { 6 } \right) \times \frac { 4 } { 5 }$ A) $\frac { 4 } { 5 }$ B) $\frac { 5 } { 24 }$ C) $\frac { 1 } { 30 }$ D) $\frac { 10 } { 3 }$

Perform the indicated operations and reduce the answer to lowest terms. $\left( \frac { 13 } { 16 } \div \frac { 1 } { 5 } \right) \times \frac { 2 } { 7 }$ A) $\frac { 160 } { 91 }$ B) $\frac { 32 } { 455 }$ C) $\frac { 65 } { 56 }$ D) $\frac { 13 } { 280 }$

Perform the indicated operations and simplify the answer. $5 \sqrt { 29 } - 3 \sqrt { 29 } - 6 \sqrt { 29 }$

Find the opposite of +4.

List the numbers from the following set which are natural numbers. $\left\{ 17 , - 22 , - 3.27 , \sqrt { 64 } , 0 . \overline { 46 } , 9 \pi , \sqrt { 18 } , \frac { 5 } { 13 } \right\}$

Subtract. (-10) - (-16)

Find the greatest common factor of 72, 126, and 162.

Find the least common multiple of 13, 17, and 59.

The following statement illustrates the property for multiplication. 14 1 = 14

Write each number in scientific notation and then multiply. Give the answer in scientific notation. (71,000,000)(200,000) A) $142 \times 10 ^ { 11 }$ B) $1.42 \times 10 ^ { 13 }$ C) $14.2 \times 10 ^ { 12 }$ D) $1.42 \times 10 ^ { 12 }$

Rationalize the denominator and simplify. $\sqrt { \frac { 3 } { 275 } }$ A) $\frac { \sqrt { 3 } } { 5 }$ В) $\frac { \sqrt { 33 } } { 5 }$ C) $\frac { \sqrt { 3 } } { 55 }$ D) $\frac { \sqrt { 33 } } { 55 }$

A large grocery store had 306 cases of canned vegetables in the storeroom. During the past month the store removed 49 cases, 54 cases, 72 cases, and 102 cases among 306 cases from the shelves. Also the store received two lots of 80 cases each. How many cases are in the storeroom now?

Which statement illustrates the inverse property for multiplication? A) $18 \times 1 = 18$ B) $19 \times 6$ is a real number. C) $\frac { 5 } { 19 } \cdot \frac { 19 } { 5 } = 1$ D) $5 \cdot ( 18 \cdot 6 ) = ( 5 \cdot 18 ) \cdot 6$

Change the decimal to a reduced fraction. 0.305

Perform the operation and simplify the answer. $\sqrt { 7 } \cdot \sqrt { 14 }$

Simplify and write the answer in exponential notation using positive exponents. $\frac { 8 ^ { 19 } } { 8 ^ { 13 } }$