# math 122 final

15 in base 7 is the same as ____ in base 5. A) 032 B) 022 C) 012 D) not possible

B

4+ (12-3)=12+(4-3) if an example of these properties. A) Distributive and associative B) Communicative and associative C) Communicative and distributive D) Closure and communicative

B

Given: A=5 ⅓ - 2 ¼ and B= 1 ⅘ +1 3/10 A) A>B B) A<B C) A=B D) not enough information

B

If a and b are any whole numbers with b≠0, then there exist a unique whole number numbers q and r such that (please choose), where 0 ≤ r <b A) a=q⋅r+b B) a=b⋅q+r C) b=a⋅r+q D) q=b⋅r+a

B

When comparing piles of walnuts, which is less? A pile of walnuts that is equivalent to: A) The number of days in a week B) The number of fingers on your human hands C) The number of nickels that has same value as one quarter D) 11 is base s-i-x

B

If a/b and c/d are any rational numbers, then a/b÷c/d=e/f if and only if, e/f is the unique rational numbers such that c/d⋅e/f=a/b, is the definition of A) Division of Rational Numbers B) Multiplication of Rational Numbers C) Reciprocal of Multiplication of Rational Multiplication D) Fundamental Theorem of Rational Multiplication

A

Which is not true for a chip abacus? A) Different size chips determines place value B) The cups can be sorted/placed in any order C) Having more than 10 chips can be simplified D) A chip means the same on earth as on any other planet

A

Which set is closed? A) {0,1,2,3...} under division B) {0,1,3} under multiplication C) {0,1} under subtraction D) {10,20,30,40,...} under addition

D

If a and b are any whole numbers with b≠0, then there exist a unique whole number, numbers q and r such that (please choose), where 0 ≤ r <b A) a=q⋅r+b B) b=a⋅q+r C) a=b⋅q+r D) q=b⋅a+r

C

Which value is less? A) (-¼)^3 B) (-½ )^-2 C) -(½ )^0 D) (-¼ )

C

30/12 = 2⋅3⋅5/2⋅2⋅3=5/2 is an example of; A) Making a fraction improper B) Fundamental Law of Fractions C) Distributive property D) Simplifying a fraction

D

If a and b are any whole numbers with b≠0, then there exist a unique whole numbers q and r such that A) a=rq+b where 0 ≤ b < r B) a=rq+b where 0 ≤ r <b C) a=bq+r where 0 ≤ b < r D) a=bq+r where 0 ≤ r < b

D

Round off 67845 to the tens position and also to the hundreds position A) 67850 & 67900 B) 67840 & 67900 C) 67850 & 678000 D) 67840 & 67800

D

What are the prime factors of 5544? A) 2⋅6^2⋅7⋅11 B) 7⋅8⋅9⋅1 C) 2⋅3⋅4⋅11⋅21 D) 2⋅2⋅2⋅3⋅3⋅7⋅11

D

Which of the following numbers is a prime number? A) 219 B) 217 C) 213 D) 211

D

(X ∩ Z) U Y= {S,I,N,S}

False

By using both divisibility test for 6 and 8 is a valid test for 48 l 144

False

If 7 I n ⋅ 13 and 7 I n ⋅ 19 then 7 I 13 +19

False

The Identity Property of Fraction Addition states (a/c) + (-a/c)=0 if and only if c≠0

False

The multiplicative inverse of the reciprocal of negative two equals positive one half.

False

The scaffold method of division of an integer by a rational number can only be performed when the reciprocal of the rational number is a mixed number.

False

The set {1,3,5,11,13,15...} is closed for addition and subtraction.

False

a+a+a... +a+a where a is written "n" times equals "a^n

False

An advantage of the scaffold method is elimination of guessing

True

Let W & N be two natural numbers, then W ⋅ N= GCF (W,N) ⋅ LCM (W, N)

True

The set {p,a,c,e,s} is equivalent to Z

True

The zero property of addition applies both proper fractions and improper fractions.

True

n(Z u X) = 12

True