Rational Number Operations
−15.2 x 41
−623.2
−31.4 ÷ −0.2
157
What is 0.5 + 0.75 in fraction form?
1 1/4
Given an example of a rational and irrational number.
Answers will vary, but pi is irrational!
Any number that can be represented as a fraction is rational.
A dolphin is underwater. Its position below sea level changes by −42.5 ft in 5 minutes. What is the average change in the dolphin’s position each minute? Is the dolphin going deeper or toward the surface of the water?
−8.5 ft per min
deeper
Write 12/11 as a decimal. Is it a repeating or terminating decimal?
1.090909...
−5 1/7 ÷ 9/7
−4
What is −25 1/4 − 19.1 in decimal form?
−44.35
Are 4.18 and 4 2/11 equal?
No
4 2/11 = 4.18181818...
Without solving, determine if the following expression would be positive or negative. Explain your answer.
(-7)100
Positive. A positive exponent with a negative number will always result in a positive answer
Simplify: −5.1(2.4 − 8.6) + 18
49.62
Write 0.126 as a fraction in its simplest form.
63/500
The changes to a company’s stock prices for five days are $1.25, −$0.75, $1.25, −$0.75, and −$0.75. What is the mean change of the stock prices?
$0.05
Brenda pours laundry detergent from a bottle into the cap and then into the washing machine. Every time she fills the cap, the amount of detergent in the bottle changes by −0.19 L. She fills the cap 3 1/4 times in all. John has a different bottle of detergent that is the same size. Every time he fills his cap, the amount of detergent in his bottle changes by −0.22 L. He fills his cap 2 5/6 times in all. Who has the greater total change in the amount of detergent in their bottle?
John
John: -0.623333...
Brenda: -0.6175
A woodworker needs a drill bit that measures 0.078 inch. Her drill bits are marked in fractions with denominators of 2, 4, 8, 16, 32, and 64. Which size drill bit should she use?
5/64 inch drill bit
[−3.2(15 3/10 - 26.34)] - (−34 ÷ 2 1/2)
48.928