ma008 » lesson1 »

ma008/lesson1/practiceset1

ma008/lesson1/practiceset1 is ...


Problem 1: Terminating Decimals

A) 2/7 = 0.285714285714285714285714285...... (Does not terminate)

B) 3/5 = 0.6 (terminates)

C) 1/9 = 0.111111111111111111111111111....... (Does not terminate)

D) 3/16 = 0.1875 (terminates)

E) 0.345 (terminates)

F) 0.8888888...... (Does not terminate)


Problem 2: Integers

Integers are numbers that come from the set {....,-3,-2,-1,0,1,2,3,4,......}

A) 0 (integer)

B) 0.5 (no)

C) 2 (integer)

D) 6/3 = 2 (integer)

E) 3/6 = 1/2 = 0.5 (no)

F) -6 (integer)

G) -4/2 = -2 (integer)


Problem 3: Zero

A) rational (True)

B) irrational (False)

C) A Whole Number (True)

D) An Integer (True)

E) A Natural Number (false)

F) A Positive Integer (false)

G) A Negative Integer (false)


Problem 4: Rational Numbers

A) 12 = 12/1

This one is a little tricky

B) 3 2/5 = 17/5 , since 3 = 15/5 and then we have an extra 2/5

C) 0.7 = 7/10 (0.7 is read as "seven tenths")


Problem 5: Types of Number

A) The only integer that is neither positive nor negative is 0

B) The Natural numbers come from the set {1,2,3,4,5,......}, so 1 is the smallest

C) Any positive number {1,2,3,4,5,6,7,8,.....}

D) Pick any number less than 20 that doesn't have a root {2,3,5,6,7,8,10,11,12,13,14,15,17,18,19}

E) Pick any number less than 20 that does have a root {1,4,9,16}


Problem 6: Sets

A) Inclusive means to include the endpoints 0 and 5 in the set, {0,1,2,3,4,5}

B) Exclusive means to not include the endpoints -1 and 4 in the set, {0,1,2,3}


Problem 7: Coefficients

The coefficient is the number to the left of the variable

A) 3

B) 2

C) -3

D) -11


Problem 8: Vocabulary - Algebra

A) Incorrect, equations require an equal sign. Just having a sum of terms does not mean it is an equation

B) Incorrect, Terms are just parts of the sum. E.G. 2x+3y , 2x is a term, 3y is a term, But 2x+3y is not a term.

C) Correct

D) Correct

E) Correct


Problem 9: Spotting Variables

C and r are the variables, 2 is a constant and pi is a constant.


Problem 10: Investigating integers

1) C , The product of two integers with the same sign results in a positive integer

2) D , The product of two integers with different signs results in a negative integer

3) E , Any integer multiplied by zero results in zero.


Problem 11: Sum and Products

A) 10,2

B) -2,-10

C) 7, -1

D) -7, 1


Problem 12: Inverses Part 1

A) -9

B) -a

C) always (since a is an integer, -a will always be an integer)

D) -a (doesn't matter whether its an integer or a real)


Problem 13: Inverses Part 2

A) 1/9

B) 0 (because anything multiplied by zero is zero)

C) 1/a

D) Sometimes (if a = 1 then 1/a = 1/1 = 1 which is also an integer)

E) 2, 4/3 , b/a


Problem 14: Multiplying Integers

A) 56

B) Yes

C) Always


Problem 15: Multiplying Rationals

A) 6/35

B) yes

Ci) ac/bd

Cii) Yes

Ciii) Yes

D) Always


Problem 16: Multiplying Irrationals

A) sqrt(2)sqrt(8) = sqrt(28) = sqrt(16) = 4

B) No (it is rational)

C) sqrt(2)*sqrt(3) = sqrt(6) = 2.4494897427831780981972840..... (don't forget to round)

D) Yes (it is irrational)

E) Sometimes (as we can see from our examples)