Deck 2: Signed Numbers and Powers of 10

Question 1

Do the addition. Simplify the result when possible. $6 \frac { 1 } { 40 } + \frac { 7 } { 40 }$

A) $6 \frac { 20 } { 20 }$
B) $6 \frac { 3 } { 7 }$
C) $6 \frac { 1 } { 35 }$
D) $6 \frac { 1 } { 5 }$
E) $6 \frac { 7 } { 3 }$

Answer 1

$6 \frac { 1 } { 5 }$

Question 2

Perform the indicated operations and simplify. $\left( - 3 \frac { 5 } { 7 } \right) \div \left( - 5 \frac { 3 } { 7 } \right)$

A) $1 \frac { 6 } { 13 }$
B) $- 1 \frac { 9 } { 13 }$
C) $\frac { 8 } { 49 }$
D) $\frac { 13 } { 19 }$
E) $- 1 \frac { 6 } { 13 }$

Answer 2

$\frac { 13 } { 19 }$

Question 3

Perform the indicated operations and simplify. $\frac { 1 } { 16 } + \left( - \frac { 9 } { 32 } \right)$

A) $\frac { 1 } { 2 }$
B) $- \frac { 9 } { 512 }$
C) $- \frac { 11 } { 32 }$
D) $- \frac { 7 } { 32 }$
E) $\frac { 11 } { 32 }$

Answer 3

$- \frac { 7 } { 32 }$

Question 4

Perform the indicated operations and simplify. $\left( \frac { - 11 } { - 36 } \right) ( - 27 )$

A) $- 8 \frac { 1 } { 4 }$
B) $2 \frac { 3 } { 4 }$
C) $- 2 \frac { 3 } { 4 }$
D) $\frac { 3 } { 4 }$
E) $8 \frac { 1 } { 4 }$

Question 5

Perform the indicated operations and simplify. $\left( \frac { - 2 } { 5 } \right) \left( \frac { 1 } { - 4 } \right) \left( \frac { - 5 } { - 2 } \right)$

A) $6 \frac { 3 } { 4 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 2 } { 3 }$
D) $\frac { 3 } { 4 }$
E) $\frac { 1 } { 5 }$

Question 6

Perform the indicated operations and simplify. $\left( \frac { - 8 } { 9 } \right) + \left( - \frac { 1 } { 4 } \right) \left( \frac { 5 } { - 6 } \right)$

A) $\frac { 149 } { 216 }$
B) $- \frac { 65 } { 72 }$
C) $- \frac { 73 } { 108 }$
D) $\frac { 37 } { 54 }$
E) $- \frac { 49 } { 72 }$

Question 7

Add or subtract as indicated. $- 7 \frac { 1 } { 2 } - 6 \frac { 1 } { 8 } - 2 \frac { 1 } { 16 }$

A) $- 14 \frac { 13 } { 16 }$
B) $- 11 \frac { 9 } { 16 }$
C) $- 15 \frac { 9 } { 16 }$
D) $- 15 \frac { 11 } { 16 }$
E) $- 3 \frac { 11 } { 16 }$

Question 8

Perform the indicated operations and simplify. $\left( \frac { - 4 } { 5 } \right) \div \left( - 8 \frac { 1 } { 2 } \right) - \left( \frac { 2 } { - 5 } \right)$

A) $\frac { 42 } { 85 }$
B) $\frac { 43 } { 85 }$
C) $\frac { 6 } { 85 }$
D) $- \frac { 44 } { 85 }$
E) $- \frac { 41 } { 85 }$

Question 9

Perform the indicated operations and simplify. $46 \div \left( \frac { - 2 } { 7 } \right)$

A) $- 13 \frac { 1 } { 7 }$
B) $- 81$
C) $- 161$
D) $- 26 \frac { 3 } { 7 }$
E) $- 3 \frac { 2 } { 7 }$

Question 10

Perform the indicated operations and simplify. $\left( \frac { - 2 } { 3 } \right) + \left( - \frac { 5 } { 6 } \right) + \frac { 1 } { 8 } + \frac { 1 } { 16 }$

A) $- 1 \frac { 31 } { 16 }$
B) $- 1 \frac { 5 } { 16 }$
C) $2 \frac { 5 } { 16 }$
D) $- 2 \frac { 31 } { 16 }$
E) $1 \frac { 1 } { 3 }$

Question 11

Perform the indicated operations and simplify. $\frac { 5 } { 8 } - \left( \frac { - 5 } { 8 } \right)$

A) $1 \frac { 1 } { 5 }$
B) $1 \frac { 2 } { 9 }$
C) $1 \frac { 5 } { 2 }$
D) $1 \frac { 2 } { 11 }$
E) $1 \frac { 1 } { 4 }$

Question 12

Perform the indicated operations and simplify. $\left( \frac { - 2 } { 3 } \right) - ( - 9 )$

A) $8 \frac { 1 } { 3 }$
B) $8 \frac { 2 } { 3 }$
C) $4 \frac { 2 } { 3 }$
D) $4 \frac { 1 } { 2 }$
E) $8 \frac { 7 } { 3 }$

Question 13

Perform the indicated operations and simplify. $\frac { 8 } { 9 } + \left( - \frac { 73 } { 81 } \right)$

A) $- \frac { 1 } { 80 }$
B) $- \frac { 1 } { 9 }$
C) $- \frac { 1 } { 81 }$
D) $- \frac { 1 } { 78 }$
E) $- \frac { 65 } { 72 }$

Question 14

Perform the indicated operations and simplify. $\left( - \frac { 3 } { 4 } \right) - \left( - 9 \frac { 2 } { 3 } \right) + \left( - 9 \frac { 5 } { 6 } \right)$

A) $- \frac { 11 } { 12 }$
B) $\frac { 7 } { 16 }$
C) $1 \frac { 1 } { 12 }$
D) $\frac { 25 } { 48 }$
E) $- \frac { 5 } { 24 }$

Question 15

Perform the indicated operations and simplify. $\left( \frac { - 1 } { 2 } \right) + \left( \frac { 1 } { - 5 } \right)$

A) $- \frac { 9 } { 20 }$
B) $\frac { 4 } { 7 }$
C) $\frac { 4 } { 5 }$
D) $- \frac { 7 } { 10 }$
E) $\frac { 1 } { 10 }$

Question 16

Perform the indicated operations and simplify. $\left( \frac { - 1 } { 2 } \right) \left( \frac { - 1 } { 2 } \right)$

A) $4 \frac { 1 } { 9 }$
B) $\frac { 2 } { 9 }$
C) $\frac { 18 } { 19 }$
D) $\frac { 1 } { 18 }$
E) $\frac { 1 } { 2 }$

Question 17

Perform the indicated operations and simplify. $\left( \frac { - 3 } { 8 } \right) \times \left( - 3 \frac { 1 } { 5 } \right)$

A) $1 \frac { 1 } { 5 }$
B) $2 \frac { 1 } { 7 }$
C) $3 \frac { 1 } { 5 }$
D) $1 \frac { 1 } { 6 }$
E) $1 \frac { 1 } { 7 }$

Question 18

Perform the indicated division and simplify your answer. $\left( - \frac { 9 } { 4 } \right) \div \left( \frac { 7 } { 12 } \right)$

A) $- 3 \frac { 1 } { 7 }$
B) $- 1 \frac { 5 } { 16 }$
C) $- 4 \frac { 6 } { 7 }$
D) $- 3 \frac { 6 } { 7 }$
E) $- 5 \frac { 1 } { 7 }$

Question 19

Perform the indicated operations and simplify. $\left( - \frac { 2 } { 7 } \right) + \left( - \frac { 2 } { 3 } \right)$

A) $\frac { 1 } { 3 }$
B) $- \frac { 21 } { 22 }$
C) $\frac { 4 } { 21 }$
D) $- \frac { 20 } { 21 }$
E) $- \frac { 22 } { 23 }$

Question 20

Perform the indicated operations and simplify. $\frac { 1 } { 16 } + \left( - \frac { 5 } { 32 } \right)$

A) $- \frac { 3 } { 32 }$
B) $\frac { 7 } { 16 }$
C) $- \frac { 3 } { 16 }$
D) $\frac { 7 } { 32 }$
E) $- \frac { 1 } { 4 }$

Question 21

Multiply. $2 ( - 4 )$

A) -3
B) 8
C) -8
D) -10
E) 10

Question 22

Multiply. $( - 4 ) ( - 9 )$

A) -36
B) -32
C) 36
D) 39
E) 32

Question 23

Perform the indicated operations and simplify. $- 4 \frac { 1 } { 2 } - 5 \frac { 1 } { 8 } - 2 \frac { 1 } { 16 }$

Question 24

Multiply. $( - 4 ) ( - 14 )$

A) 56
B) -52
C) -59
D) 61
E) -57

Question 25

Perform the indicated operations and simplify. $\left( \frac { - 6 } { 8 } \right) - ( - 5 )$

Question 26

Multiply. $( - 4 ) ( 2 ) ( - 3 ) ( - 9 )$

A) 219
B) -225
C) 216
D) -216
E) -219

Question 27

Multiply. $( - 8 ) ( 0 )$

A) 2
B) 0
C) -8
D) 1
E) 8

Question 28

Perform the indicated operations and simplify. $\left( \frac { - 4 } { 5 } \right) + \left( - \frac { 9 } { 10 } \right) + \frac { 1 } { 6 } + \frac { 1 } { 12 }$

Question 29

Multiply. $( - 2 ) ( - 17 )$

A) 32
B) -34
C) -32
D) 34
E) 37

Question 30

Perform the indicated operations and simplify. $\frac { 5 } { 8 } - \left( \frac { - 5 } { 8 } \right)$

Question 31

Perform the indicated operations and simplify. $\left( \frac { - 1 } { 2 } \right) + \left( \frac { 1 } { - 9 } \right)$

Question 32

Perform the indicated operations and simplify. $\left( \frac { - 11 } { - 15 } \right) ( - 12 )$

Question 33

Multiply. (+8)(+3)

A) 19
B) 21
C) 24
D) 25

Question 34

Multiply. $( - 6 ) ( 0 )$

A) 0
B) 6
C) -6
D) -60
E) 60

Question 35

Perform the indicated operations and simplify. $\frac { 2 } { 3 } + \left( \frac { 7 } { 9 } \right)$

Question 36

Perform the indicated operations and simplify. $\left( - \frac { 7 } { 8 } \right) - \left( - 8 \frac { 6 } { 7 } \right) + \left( - 8 \frac { 13 } { 14 } \right)$

Question 37

Multiply. $( 56 ) ( 66 )$

A) $4,663$
B) $4,653$
C) $4,753$
D) $465$
E) $466$

Question 38

Multiply. $( - 2 ) ( - 4 ) ( - 7 )$

A) 48
B) -56
C) 56
D) 28
E) -48

Question 39

Multiply. $( - 11 ) ( 2 )$

A) -11
B) 17
C) 22
D) -22
E) 11

Question 40

Multiply. $( - 7 ) ( + 2 )$

A) -7
B) 14
C) 7
D) -14
E) -11

Question 41

Multiply.

Question 42

Divide. $\frac { - 114 } { - 19 }$

A) $6$
B) $- 7$
C) $7$
D) $8$
E) $- 8$

Question 43

Divide. $( - 20 ) \div ( - 4 )$

A) $5$
B) $- 4$
C) $3$
D) $- 3$
E) $4$

Question 44

Divide. $\frac { 252 } {18}$

A) 15
B) 13
C) 14
D) 28
E) 24

Question 45

Multiply.

Question 46

Multiply.

Question 47

Divide. $( + 153 ) \div ( - 9 )$

A) 18
B) -20
C) -17
D) 19
E) -18

Question 48

Multiply. $( - 2 ) ( - 1 ) ( - 8 ) ( - 5 ) ( - 1 ) ( + 9 )$

A) -722
B) 728
C) 722
D) -720
E) 719

Question 49

Multiply.

Question 50

Multiply.

Question 51

Multiply.

Question 52

Multiply.

Question 53

Multiply.

Question 54

Divide. $( - 128 ) \div ( - 8 )$

A) 14
B) -14
C) -16
D) 16
E) 19

Question 55

Divide. $( - 112 ) \div ( + 14 )$

A) -7
B) 5
C) -8
D) -6
E) 6

Question 56

Multiply.

Question 57

Multiply.

Question 58

Multiply.

Question 59

Divide. $\frac { - 50} { -5}$

A) -10
B) 10
C) -5
D) -50
E) 5

Question 60

Multiply.

Question 61

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $\frac { 1 } { 10 ^ { 6 } }$

A) $10 ^ { 12 }$
B) $10 ^ { 6 }$
C) $10 ^ { 7 }$
D) $10 ^ { 5 }$
E) $10 ^ { 16 }$

Question 62

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $10 ^ { - 6 } \cdot 10 ^ { - 4 } \cdot 10 ^ { 3 }$

A) $10 ^ { 72 }$
B) $\frac { 1 } { 10 ^ { 7 } }$
C) $\frac { 1 } { 10 ^ { 13 } }$
D) $10 ^ { 13 }$
E) $10 ^ { 7 }$

Question 63

Divide.

Question 64

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $10 ^ { - 18 } \cdot 10 ^ { 15 }$

A) $10 ^ { 33 }$
B) $10 ^ { 36 }$
C) $10 ^ { 3 }$
D) $\frac { 1 } { 10 ^ { 33 } }$
E) $\frac { 1 } { 10 ^ { 3 } }$

Question 65

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $\left( 10 ^ { - 2 } \right) ^ { - 6 }$

A) $10 ^ { 8 }$
B) $\frac { 1 } { 10 ^ { 12 } }$
C) $\frac { 1 } { 10 ^ { 8 } }$
D) $10 ^ { 4 }$
E) $10 ^ { 12 }$

Question 66

Divide.

Question 67

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $10 ^ { - 2 } \cdot 10 ^ { - 6 }$

A) $\frac { 1 } { 10 ^ { 4 } }$
B) $\frac { 1 } { 10 ^ { 12 } }$
C) $10 ^ { 4 }$
D) $\frac { 1 } { 10 ^ { 8 } }$
E) $10 ^ { 12 }$

Question 68

Divide.

Question 69

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $\left( 10 ^ { 2 } \right) ^ { - 7 }$

A) $\frac { 1 } { 10 ^ { 9 } }$
B) $10 ^ { 5 }$
C) $\frac { 1 } { 10 ^ { 5 } }$
D) $10 ^ { 14 }$
E) $\frac { 1 } { 10 ^ { 14 } }$

Question 70

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $10 ^ { 6 } \cdot 10 ^ { 8 }$

A) $\frac { 1 } { 10 ^ { 2 } }$
B) $10 ^ { 24 }$
C) $10 ^ { 48 }$
D) $10 ^ { 14 }$
E) $10 ^ { 2 }$

Question 71

Divide.

Question 72

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $\left( \frac { 10 ^ { 6 } } { 10 ^ { 7 } } \right) ^ { 2 }$

A) $\frac { 1 } { 10 ^ { 2 } }$
B) $10 ^ { 5 }$
C) $\frac { 1 } { 10 ^ { 5 } }$
D) $\frac { 1 } { 10 ^ { 13 } }$
E) $10 ^ { 13 }$

Question 73

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $\frac { 1 } { 10 ^ { 12 } }$

A) $10 ^ { 24 }$
B) $10 ^ { 22 }$
C) $10 ^ { 11 }$
D) $10 ^ { 13 }$
E) $10 ^ { 12 }$

Question 74

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $\left( \frac { 10 ^ { - 4 } } { 10 ^ { - 7 } } \right) ^ { 3 }$

A) $\frac { 1 } { 10 ^ { 9 } }$
B) $10 ^ { 27 }$
C) $\frac { 1 } { 10 ^ { 5 } }$
D) $10 ^ { 9 }$
E) $\frac { 1 } { 10 ^ { 27 } }$

Question 75

Divide.

Question 76

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $10 ^ { 2 } \cdot 10 ^ { - 6 } \cdot 10 ^ { - 6 }$

A) $102$
B) $10 ^ { 10 }$
C) $\frac { 1 } { 10 ^ { 14 } }$
D) $\frac { 1 } { 10 ^ { 10 } }$
E) $10 ^ { 14 }$

Question 77

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $\frac { \left( 10 ^ { 9 } \right) ^ { 3 } } { 10 ^ { - 8 } }$

A) $10 ^ { 11 }$
B) $10 ^ { 8 }$
C) $\frac { 1 } { 10 ^ { 11 } }$
D) $\frac { 1 } { 10 ^ { 5 } }$
E) $10 ^ { 5 }$

Question 78

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $10 ^ { 3 } \div 10 ^ { - 5 }$

A) $10 ^ { 2 }$
B) $10 ^ { 11 }$
C) $\frac { 1 } { 10 ^ { 15 } }$
D) $10 ^ { 8 }$
E) $\frac { 1 } { 10 ^ { 2 } }$

Question 79

Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $10 ^ { - 3 } \cdot 10 ^ { 8 }$

A) $\frac { 1 } { 10 ^ { 11 } }$
B) $10 ^ { 24 }$
C) $10 ^ { 8 }$
D) $10 ^ { 11 }$
E) $10 ^ { 5 }$

Question 80

Divide.