Rational Numbers
Sally buys a pack of oranges for $6.78 and a pack of apples for $5.25. Each one costs $0.90 per pound. How many pounds total did Sally buy?
6.78+5.25=12.03
12.03/0.90c
Answer: c=$13.37
Find a irrational number between the square root of 4 and the square root of 2.
the answer would be between square root of 4 and square root of 2
solve 7y=-10x+63
7y=-10x+63
divide all of it by 7
y=-10/7x+9
A bus driver has a 500-mile journey and has traveled 286 miles already. How many miles does he still have to drive?
500-286=214 miles remaining
Tom bought ? bags of apples for $20. Each bag of apples cost $4.70. What is the total number of bags that Tom bought?
20.00/4.70=4.26
rounded to 4 bags total
classify 0.333333333333.... as rational or irrational
irrational- the decimal continues forever; never stops
Dan is at a pumpkin patch and he has $70 to spend there. Each pumpkin costs $10. How much pumpkins is he able to buy?
70/10
=7 pumpkins
William wants to buy a bike but the cost of the bike is $230. He earns $30 a month for his allowance. How long will it be til he is able to buy a bike?
230/30m=7.67 months
rounded: m=8
Brad is building a house and he he spent a total amount of $1070 on wood. Each piece of wood costs 5.75. How many pieces of wood did he buy?
1070/5.75=186.06
rounds to 186 pieces of wood
A ladder is against a wall. The ladder is 5 feet away from the wall, and the top of the ladder reaches 9 feet tall. What is the exact length of the ladder?
5 x 5=25 and 9 x 9=81
the square root of 106=c
Tim is at the grocery store and he has a budget of $200. Each t-shirt costs $10.66. How many t-shirts is he able to buy?
200/10.66t=18
t=18
which of these numbers are whole numbers?
0.333333, 1, 5, 2/5, square root of 21, 7, 10, 1, 5/8, 3
1,5,7,10,1,3
whole numbers cannot be decimals, fractions, or square roots of a non-perfect square
find the difference of 7/8 and 2/3
7/8 and 2/3 is 5/24
21/24 and 16/24
21-16 and 24
= 5/24
A yard has an area of 40 sq meters long. What is the exact length of one of the sides?
A=s^2
s= square root of 40
which is approximately 6.32 meters
solve -30-x=75
-30-x=75
-x=105
divide by -1 on both sides
x=-105
A store has 56 boxes of items, and every box contains 50 items. How many total items are in stock?
do 56 x 50
=2800
Divide 2.5 a liter of water into 30 oz cups.
33.8 x 2.5=84.535 ounces
84.535/30=2.818 cups
have enough water for 2.8 cups
Is two irrational numbers added together always gonna be irrational?
No. Sometimes they can add up and equal a rational number.
Using the numbers 4, 9, 12, and 16, create an expression with a value of 6, using each number at least once and any operation.
9-(4x(12/16))
12/16=0.75
4 x 0.75=3
9-3=6
Answer: 6
Tom earns $10 every hour delivering newspapers. He works 5 hours at a time, 7 days a week. After 8 weeks, how much money will he have made?
5 x 7=35
35 x 8= 280
280 x 10= 2800
After 8 weeks, Tom will have made $2800