Exponents
Write in expanded form.
56
5 x 5 x 5 x 5 x 5 x 5
Write in standard form.
7.3 x 104
73,000
62 - 5 x 2
26
Tell whether 4,302 is divisible by 2, 3, 5, 6, 9, or 10.
2, 3, 6, 9
Emma is organizing a community craft fair and needs to create gift bags for the attendees. She has 36 small notebooks and 48 pens that she wants to include in each gift bag. Emma wants to make sure that each gift bag contains the same number of notebooks and the same number of pens, with no items left over.
What is the greatest number of gift bags Emma can make while ensuring each bag has the same number of notebooks and pens?
12
Write in standard form.
9 x 9 x 9 x 8 x 8 x 8 x 8
93 x 84
Write in standard form.
4 x 108
400,000,000
16 - 24 / 23
13
Tell whether 1,605 is divisible by 2, 3, 5, 6, 9, or 10.
3, 5
Liam is setting up a schedule for his art and music classes. His art class occurs every 8 days, and his music class happens every 12 days. Liam wants to find out after how many days both classes will fall on the same day again.
What is the least number of days after which Liam will have both an art class and a music class on the same day?
24
Write in standard form.
34
81
Write in scientific notation.
6,750,000
6.75 x 106
3 + (7 - 2)2 - 22
24
Find the GCF of 18 and 24.
6
Sophie is organizing a charity event and has two types of donation boxes. She has 42 toy cars and 56 dolls that she wants to distribute evenly into the donation boxes. Sophie wants to ensure that each donation box contains the same number of toy cars and the same number of dolls, with no items left over.
What is the greatest number of donation boxes Sophie can use, so that each box contains the same number of toy cars and the same number of dolls?
14
Write in standard form.
43 + sqrt 36
70
Write in scientific notation.
5,000
5 x 103
6 x 32 - (4 + 2)2
18
Find the LCM of 24 and 30.
120
Mia and Jake are planning a community gardening project and have two types of gardening schedules. Mia waters her garden every 9 days, and Jake waters his garden every 15 days. They want to find out after how many days both Mia and Jake will water their gardens on the same day again.
What is the least number of days after which Mia and Jake will both water their gardens on the same day?
Write in standard form.
(7 - 2)2 - sqrt 81
16
Write in scientific notation.
3.02 x 105
302,000
92 - 3 x 42 + (2 + 1)2
42
Find the LCM and GCF of 8, 12, 18.
GCF = 2
LCM = 72
A school is preparing gift bags for a large end-of-year party. They have 90 pencils and 150 erasers to distribute. The school wants to divide these items into smaller gift bags, such that each bag contains the same number of pencils and the same number of erasers, with no items left over.
What is the greatest number of gift bags that the school can prepare so that each bag contains the same number of pencils and erasers?
30