Exponent laws and fundamentals
The operation we perform when multiplying exponents with the same base
7^5*7^9
What is Addition?
The kind of decimal that goes on infinitely as the same number
What is a repeating decimal?
What does PEMDAS stand for?
Parenthesis, exponents, multiplication/division, addition/subtraction
Solve.
-2.9*3.2
-9.28
Mr. B has $150. On a random morning, his debit card information got leaked, and the guy who stole it made 6 withdrawals of $15.15 very quickly. Mr. B noticed and changed his credentials, cut up his old card, and made a deposit of $239.65 of cash to avoid overdraft fees. What is his final balance?
Mr. B has a whopping $298.75 left after the scammer robbed him.
The operation that occurs when we raise a power to a power
(7^3)^5
What is multiplication?
The operation that carried out when converting a fraction to a decimal
What is division?
What is 5.125 as a fraction?
5 1/8
solve. Write your answer as a decimal.
(1 1/3)/-1.6
-0.8333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
If Mr. B's truck has 25 gallons of fuel, and uses 1.25 Gallons of fuel for every 20 miles he drives, how many miles can Mr. B go before his truck runs out of fuel?
400 miles. (25/1.25) *20
Solve.
[(1/3)^5]^3
1/3^15 or 1/14348907
Change the following fraction in to a decimal.
42/8
5.25
Solve. Your answer can be a decimal or a mixed number fraction.
5^3-(|-9.3|+12.1)*1/5
120.72 or 120 18/25
-(.40)-(-.25)
-0.15
The Jacksonville Jaguars can play 3/4 of a good game before they remember they are terrible. If they have 17 games a season, how many quarters of good football will fans be able to watch?
42 quarters. or 13 whole games of good football. But they will still go 4-13.
Evaluate. Leave your answer as an exponent.
(3^5)*[(3^6)]^7
What is 347
5/16+3/4
What is 17/16? or 1 and 1/16
1/4*(1/2)^3
1/32
Which Number is larger? No dodging fractions here.
2/8 or 3/14
.25 vs .214 2/8 is a larger fraction
You are on a mountain, at 3,500 feet above sea level. You plan to dig a mine so that your company can extract valuable materials from the mountain. You dig at a rate of -176 feet per hour. How far above sea level are you after 4 hours?
Write in an equivalent expression
(3/4)^3
27/64
(|-15/42|)/(-2 1/3)
DOUBLE POINTS FOR SIMPLIFYING
-45/294 or -15/98
152 +( 7.5+|-3.6|)
236.1
6.2+ 3/4. Write as a fraction.
6 and 19/20
You are stranded in nature. If you have 5 gallons of water, and you need 1/3 a gallon of water per day to survive, how many days can you survive for?
15 days
Solve the expression. X=2. y=9
(x^5/x^2)-y^3+x^0
-720
Convert the following to a mixed number.
(12/7)^3
5 13/343
[3^3 -(4.4-2.2) ]/(2 2/3)
9.3
4.9*(32-|-15|+5)
107.8
Mr. B is skydiving. If he is falling at a rate of 120.35 miles per hour, how long would it take him to travel 10 miles? Write as a decimal.
0.83 hours (or about 5 minutes!)