Fractions & Decimals
Which fraction or fractions are equivalent to the decimal .75?
A. 4/3
B. 5/6
C. 75/100
D. 3/4
C. 75/100 and D. 3/4
Answers may vary:
(example: 6 boys and 4 girls, 9 boys and 6 girls, 15 boys and 10 girls)
What comes first in the order of operations?
Any grouping symbol
Examples: parenthesis, brackets, braces
What is the opposite of:
a. -3/4
b. 5
c. -250
a. 3/4
b. -5
c. 250
What is the LCM of 6 and 8?
What is the GCF of 20 and 25?
LCM = 24
GCF = 5
Write 6 and 3 tenths as an improper fraction, as a mixed number, and as a decimal.
6 3/10, 63/10, 6.3
Write this for every statement as a ratio in three different ways:
"For every 7 oranges Amy has, Joey has 9 apples."
What is the ratio of apples to oranges?
9 to 7
9:7
9/7
What comes last in the order of operations?
Addition or subtraction, depending on which comes first going from left to right.
What is the absolute value and the opposite of 20?
Absolute value is 20 and the opposite is -20
Ms. Zicker is passing out pencils and erasers. There are 36 pencils and 24 erasers. Each student receives the same number of pencils and the same number of erasers, with nothing left over. What is the greatest number of students that Ms. Zicker can reward equally? How many pencils and erasers would they get each?
The greatest number of students would be 12 students. Each student would get 3 pencils and 2 erasers.
Fill in the blanks with <, >, or =
a. 16/12 10/6
b. -1.72 -1.39
c. 6.2 -6⅕
a. 16/12 < 10/6
b. -1.72 < -1.39
c. 6.2 > -6⅕
Write three equivalent ratios to 6:30
Answers may vary:
(examples- 1:5, 12:60, 2:10, 3:15)
Solve:
(9-6)2
9
What is the absolute value of 20-8?
The absolute value is 12
List the first 5 square numbers.
List the first 5 prime numbers.
1, 4, 9, 16, 25
2, 3, 5, 7, 11
Order these numbers from least to greatest:
1.5 -6/7 0 1/4 -0.8
-6/7, -0.8, 0, 1/4, 1.5
If a bunch of 5 bananas costs $10, then what is the unit price of a banana?
The unit price of one banana would be $2.
Evaluate the expression
45 - 18 ÷ 9 + 10 x 2
John believes that the answer is 26, because you are supposed to go from left to right since you read left to right.
Susan believes the answer is 23, because you have to do multiplication first in the order of operations and then move towards the left.
What do you think the real answer is? Who do you believe? Why? Explain your answer.
Neither of them are correct, the real answer is 63. In this case, division comes first, then multiplication, then subtraction, and then addition.
45 - 18 ÷ 9 + 10 x 2
45 - 2 + 10 x 2
45 - 2 + 20
43 + 20
= 63
What is the solution to -|16 - 9| ?
-7
The ski resort rents out skis for $25 an hour plus a $50 initial fee. How much would it cost to rent the skis for 6 hours? Write an expression and solve.
25 x 6 + 50 = ____
150 + 50 = 200
What decimal is equal to:
a. 1/3
b. 6/8
c. 90/100
a. 0.33
b. 0.75
c. 0.9 or .90
On Tuesdays after school, Bailey has to read her book and practice the piano before she is allowed to see her friends. Bailey spent 30 minutes on reading and 15 minutes on playing the piano. Write a ratio for the minutes of playing the piano to the total minutes of after school activities in simplest form.
1:3
102 ÷ (5 x 10) ÷ 2 + 9 =
102 ÷ 50 ÷ 2 + 9 =
100 ÷ 50 ÷ 2 + 9 =
2 ÷ 2 + 9=
1 + 9=
10
solve this equation:
abs( 7-5) + | 2-3 | x (6/3)
abs( 7-5) + | 2-3 | x 6/3
2 + 1 x 2
2 + 2
= 4
A dunk tank costs $300 to rent plus $9 an hour for maintenance. How much would it cost to have a dunk tank at your party for 3 hours? What about 4 hours?
3 hours = $327
4 hours = $336