Fundamentals of Mathematics I Final UPDATED ACTUAL Exam Questions and CORRECT Answers
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Course
Fundamentals of Mathematics I
Institution
Fundamentals Of Mathematics I
Fundamentals of Mathematics I Final
UPDATED ACTUAL Exam Questions and
CORRECT Answers
Division (6.1-6.6) - CORRECT ANSWER- For A, B non-negative numbers, B ≠ 0
A ÷ B is solution for missing factor problem
*A ÷ B = C means B × C = A*
(also can see it as C × B = A)
(eg) 15 ÷ 3 = 5 sinc...
Fundamentals of Mathematics I Final
UPDATED ACTUAL Exam Questions and
CORRECT Answers
Division (6.1-6.6) - CORRECT ANSWER✔✔- For A, B non-negative numbers, B ≠ 0
A ÷ B is solution for missing factor problem
*A ÷ B = C means B × C = A*
(also can see it as C × B = A)
(eg) 15 ÷ 3 = 5 since 3 × ? = 15
∴ 3 x 5 = 15
A is dividend, B is divisor, C is quotient
What does division mean? - CORRECT ANSWER✔✔- (M × N = P)
P ÷ M is answer to *how many units are in 1 group* if P units are equally shared among M
groups (partitive, fair share)
Also answer to *how many groups* if P units are shared by creating groups size N
(quantitative, measurement)
Think "Ellis has 15 apples - she can give them equally either among 3 friends, how many
does each friend get? or give 3 per friend, how many friends does she have?"
Division Fraction Equivalence - CORRECT ANSWER✔✔- A, B whole numbers, B ≠ 0
A ÷ B = A/B
(pretend I wrote an actual fraction)
Division with Remainder - CORRECT ANSWER✔✔- eg: 5 ÷ 2 = 2 R1
(Exact division 5 ÷ 2 = 5/2 - using brownie example, 2 brownies and 1 part size ½ brownie
per person)
Use depending on context
*A ÷ B = Q remainder R
is equal to Q R/B where B is the # parts*
We divide leftover R units into B parts
, Convert improper fraction to mixed number - CORRECT ANSWER✔✔- 14/3 = 14 ÷ 3 = 4
R2 = 4 2/3
1) Fraction-division connection
2) Division with remainder and mixed numbers
Division and Zero* - CORRECT ANSWER✔✔- A ÷ 0 = ? (0 × ? = A) No solution because 0
times anything is 0
0 ÷ B = ? (? × B = 0) << this has a solution (0)
0 ÷ 0 = ? (0 × ? = 0) is undefined b/c all numbers are solutions by fact. Not ONE solution.
Computing Division - CORRECT ANSWER✔✔- A ÷ B = Q remainder R
Distributive property
Repeated addition
Repeated subtraction
Division using standard algorithm - CORRECT ANSWER✔✔- Repeated subtraction of
multiples of B from A
Distributive property is key
Place value is key
*Scaffolded: Expand the standard
Division with Fractions - CORRECT ANSWER✔✔- *Common Denominator Method*: A/C
÷ B/C = A ÷ B
*Invert and Multiply*: A/B ÷ C/D = A/B × D/C (multiply by reciprocal of factor)
*Definition*: The reciprocal of C/D is D/C
The *multiplicative inverse* of C/D is its reciprocal, because C/D × D/C = 1
Division with Fractions (Invert and Multiply) - CORRECT ANSWER✔✔- Teaching
Sequence:
-How many in a group? is easier interpretation to see why
-Look out for properties of arithmetic, fraction multiplication
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