Deck 5: The Real Number System

Question 1

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

Answer 1

Addition, subtraction, multiplication, division (except by 0)

Question 2

Answer 2

3

Question 3

Which number is irrational?

Answer 3

C

Question 4

Question 5

Question 6

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

Question 7

Question 8

Which statement illustrates the inverse property for addition?

A) 4 + 0 = 4
B) 6 + (4 + 8) = 6 + (8 + 4)
C) 8 + 16 is a real number.
D) 6 + (-6) = 0

Question 9

Write out the first five terms of the geometric sequence whose first term is 8 and whose common ratio is -4.

Question 10

Question 11

Question 12

Question 13

Question 14

Which statement illustrates the inverse property for multiplication?

Question 15

Question 16

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

Question 17

Find the first five multiples of 30.

Question 18

Question 19

Write out the first five terms of the arithmetic sequence whose first term is 6 and whose common difference is -7.

Question 20

Find a prime factorization of 49.

Question 21

Question 22

Question 23

Change the decimal to a reduced fraction. 0.305

Question 24

Find the sum of the first 10 terms. 19, 14, 9, 4, -1, . . .

Question 25

Question 26

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

Question 27

Find the 10th term 2, -4, 8, -16, 32, . . .

Question 28

Question 29

Find the prime factorization of 24.

Question 30

Question 31

Question 32

Question 33

Find all the factors of 45.

Question 34

Question 35

Find (a) the first term (b) the common ratio (c) the 12th term (d) the sum of the first 12 terms 2, 4, 8, 16, 32, . . .

Question 36

Question 37

Question 38

Question 39

Question 40

Find a prime factorization of 31.

Question 41

Question 42

Question 43

Question 44

Find the common ratio. 3, 9, 27, 81, 243, . . .

Question 45

Question 46

Find all the factors of 37.

Question 47

Find the opposite of +4.

Question 48

Question 49

Insert >, <, or =. 7 23

Question 50

Question 51

Find the least common multiple of 44 and 66.

Question 52

Find all the factors of 40.

Question 53

Write 428,000 in scientific notation.

Question 54

Question 55

Question 56

Divide. 14 ÷ 14

Question 57

Question 58

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, . . .

Question 59

Multiply. (12)(-2)

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Find all the factors of 97.

Question 66

Add. -2 + (-6) + (-6)

A) -10
B) 10
C) -14
D) 14

Question 67

Find the first five multiples of 20.

Question 68

Question 69

Question 70

Question 71

Question 72

Find the least common multiple of 18, 28, and 48.

A) 1,008
B) 24,192
C) 2
D) 42

Question 73

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

Question 74

Find the sum of the first 10 terms 5, -20, 80, -320, 1280, . . .

Question 75

Question 76

Find a prime factorization of 533.

Question 77

Question 78

Write 0.0039 in scientific notation.

Question 79

Question 80

Find the first five multiples of 6.