Fractions
Decimal equivalent of 2/3
-Remember any number 3/3 = 1
-2/3 is less than one
The answer would less than one
#6 Consider the expression
12 (-72) + 41 (-3 -32)
a) -2,299
b) -858
c) 571
d) 2,437
-Parentheses () denotes multiplication
-Multiplication - products produces answers higher in numerical value
-Multiplying integers - diff signs = (-) answer
-Answer: a) -2,299
#21 Area of a circle
A trash can has a circular base with a radius of 11 centimeters. Approximately how much space the base of the trash can occupy on the floor? (Use 3.14 as an aprox of pi.)
a)34.64cm2
b)69.08cm2
c)379.94cm2
d)1,519.76cm2
-Area of a circle = A = (pi) radius2
-A= (3.14) (11)2 = (3.14)(121) =
-Answer: d)1,519.76cm2
What operation is always used to determine/find the numerical value of a fraction?
Division.
Divide the top number (quotient) by the bottom (divisor).
#9 What is the value of 34 + 3.5 (- 44 / 2 ) ?
-PEMDAS
-Decimal Consideration When Mulitplying
-Answer: 37.5
#14 (Integers)
The temperature at dawn was -3 degrees Fahrenheit. The temperature at noon is 15 degrees Fahrenheit. Which statement is true?
a) Temperature decreased 12 degrees F from dawn to noon
b) Temperature decreased 18 degrees F from dawn to noon
c) Temperature increased 12 degrees F from dawn to noon
d) Temperature increased 18 degrees F from dawn to noon
-3 + 15 =
-Answer = 2 Different Signs/ Adding / Absolute Value 3 / Absolute Value 15 / Subtract 3 from 15/
12 Positive
-Answer = c) Temperature increased 12 degrees F from dawn to noon
#8 What is the decimal equivalent of -5 / 8 ?
-Fraction = Divide
-When Dividing Integers, two differents signs = Negative Value
-5/8 is less than 8/8, 8/8 = 1, answer must be less than one
-Answer: -0.625
#13 What is the relationship between x and y?
Given:
x y
12 48
15 60
20 80
a) y=3x
b)y=4x
c)y=5x
d)y=6x
Answer: b) y=4x
#20 (Percentage)
A researcher found that a bird population in a forest declined by exactly 29% from 1971 to 2021. If a forest had a population of 56,800 birds in 1970, what was the bird population in the forest in 2021?
a) 1,959 birds
b) 16,472 birds
c) 40,328 birds
d) 73,272 birds
-Declined = Subtract = Bird Population will get smaller = Answer must be smaller 56,800
-Percentage: (29% Multiply by .29)
-56,800 X .29
-Answer: c) 40, 328
#29 Which is fraction is equivalent to - 500 / 2 ?
a) - 500 / 2
b) - 500/ - 2
c) - 500/ 2
d) 500/-2
-When multiplying or dividing fractions, same signs (-) (-) equals a positive or (+)(+) equals positive
-Answer: b) - 500/ - 2
#5 What is the value of 17 x -21 ?
a) 357
b) 38
c) -4
d) -357
-When multiplying integers with 2 different signs
(-) (+), answers will always be negative.
-When multiplying, the answer (product) will be largest number
-Answer: d-357
#10 (Percentage)
A teenager puts $50 into an investment account in January. If by December, the balance increased by 17%, what is the amount of money in the account in December in dollars and cents?
-Increased -answer will be more than $50
-percentages (17% > .17)
-two step:
$50 multiplied by .17 = interest earned plus
original $50
-Answer: $58.50