Exponents & Order of Operations
Evaluate 15 − 4 × 2.
7
What number has the prime factorization 2² × 3 × 5?
60
Multiply. Write your answer in simplest form.
8/15 x 3/10
16.018 + 22.910
38.928
Divide.
195 ÷ 15
13
Evaluate 3³ − 2⁴.
11
Write the prime factorization of 84. (Simplify with exponents, if possible)
2² × 3 × 7
Multiply. Write you answer in simplest form.
5 1/2 x 7/11
3 1/2
27.61 − 21.202
6.408
Divide. Continue dividing until there is no remainder:
84.126 ÷ 3
28.042
A square garden has side length 9 feet. Write and evaluate an expression for its area using an exponent. (HINT: Area = length x width)
9² = 81 sq. feet
Find the GCF of 28 and 42.
14
Divide. Write your answer in simplest form
10 ÷ 2 3/4
3 7/11
5.4 × 2.2
11.88
Chantal has 458 pennies. She puts 26 pennies in each jar. How many jars does Chantal fill? How many pennies are left over?
17 jars, 16 pennies remaining
Evaluate 4² − 2 × (7 − 4).
10
A gym teacher schedules basketball practice every 4 days, soccer practice every 6 days, and track practice every 9 days. If all three practices happen today, in how many days will they all fall on the same day again?
36 days
Evaluate. Write the answer in simplest form.
1 3/4 ÷ (2 1/3 x 1 1/6)
9/14
0.0032 × 16.4
0.05248
Divide.
90.2 ÷ 0.22
410
Evaluate 5 × [(12 − 2)² ÷ 5] − 3²
91
A baker has 24 cupcakes and 36 cookies and wants to make identical treat bags with no leftovers, using the greatest number of bags possible. How many bags can she make, and what's in each?
12 bags with 2 cupcakes and 3 cookies
A recipe calls for 2 1/4 cups of flour per batch. How many batches can you make with 9 cups of flour?
4 batches
32.59 − 17.36 + 6.821
22.051
Divide.
1.0656 ÷ 0.0018
592