Prime, Composite and Factors
What is a prime number?
5,882
The value of the 8 in the hundreds place is 10 times the value of the 8 in the tens place.
True or False?
True
Emma baked 25 cupcakes. She wants to pack them into boxes, putting 6 cupcakes in each box. How many boxes will she need? Explain your thinking.
5 boxes
Emma can fill 4 boxes (because 6×4=24)
6 x 4 = 24, but there’s 1 cupcake left over.
She’ll need 1 more box for the leftover cupcake.
So, Emma needs 5 boxes in total.
45
x 10
450
Tanner is painting a rectangular mural. The mural is 13 feet wide and 8 feet tall.
What is the area of the mural?
The area of the mural is 104 ft tall.
What is a composite number?
A composite number is a number with more than 2 factors.
5,833
The value of the 3 in the tens place is 10 times the value of the 3 in the ones place.
True or False?
True
Jake's plant is 6 times taller than his small cactus. The cactus is 12 cm tall.
How tall is Jake's plant? Write the equation and label the answer with correct units.
12 x 6 = 72 cm tall
Jakes plant is 72 cm tall
___ x 75 = 7,500
100
100 x 75 =7,500
A rectangle has an area of 56 square units. The width is 7 units. What is the length of the rectangle? Find the missing length.
(Remember: Area = LxW)
L = 8
List all of the factors of 45:
1, 3, 5, 9, 15, 45
Taylor says there are 3 thousands in 3,562. Jordan says there are 35 hundreds in 3,562. Their teacher says they are both correct. How can this be? Explain
Taylor sees the 3 in the thousands place, so there are 3 thousands.
Jordan is counting all the hundreds in 3,562. There are 35 hundreds in total.
They’re both right because they’re looking at the number in different ways!
**Use place value chart for greater understanding.
Sophia has 41 pencils. She wants to put them into boxes, with 8 pencils in each box. How many boxes will she need?
41÷8=5 with 1 pencil left over.
She needs 6 boxes.
____ x 15 = 15,000
1,000
1,000 x 15 = 15,000
A farmers field is shaped like a rectangle with a length of 23 meters and a width of 6 meters. Use area model to find the total area of the field.
138 square meters
Which of these numbers is a Prime Number?
A. 11 B. 14 C. 9 D. 27
A. 11
7,492
What is the value of each number? Write in expanded form.
7,000 + 400 + 90 + 2
Sarah baked 17 cookies for her and her 4 friends to share equally. Which description best represents how many cookies each friend would get?
A. Each friend would get 4 cookies
B. Each friend would get 3 and 2/5 cookies.
C. Each friend would get 4 and 1/4 cookies.
B. Each friend would get 3 and 2/5 cookies.
Step 1: Divide the cookies into whole groups
Step 2: Divide the leftover cookies
38 x 40 = (38 x ___) x 10
38 x 40 = (38 x 4 ) x 10
A rectangular garden has an area of 192 square feet. The length of the garden is 16 square feet. Find the missing length. Show your work.
The missing length is 12 feet.
192 ÷ 16 = 12
Which of these numbers is composite?
A. 49 B. 19 C. 61 D. 3
A. 49
9,449
The value of the 9 in the thousands place is 1,000 times the value of the 9 in the ones place.
True or False
True
Tony’s family has a few cherry trees. They sometimes make cherry pie from the cherries they pick. It takes about 3 pounds of cherries to make 1 qt of cherry sauce for the pie.
a. Tony picked cherries every day for 5 days. He picked 6 pounds of cherries each day. How many quarts of cherry sauce can he make from the cherries he picked? Show your thinking.
b. Which equation best represents the word problem. (s stands for the number of quarts of cherry sauce Tony can make). Circle the correct answer.
A. (5 × 6) ÷ 3 = s B. (5 × 3) ÷ 6 = s
C. (5 × 6) × 3 = s D. (5 × 3) × 4 = s
a. Find the total pounds of cherries:
Tony picked 6 pounds each day for 5 days:
6×5=30 pounds of cherries.
Figure out how many quarts of sauce he can make:
It takes 3 pounds of cherries to make 1 quart of sauce.
30÷3=10 quarts.
Answer:
Tony can make 10 quarts of cherry sauce.
Part b.
(5 × 6) ÷ 3 = s
18 x 30 is like __________ groups of 18 x 3
18 x 30 is like (18 x ____) x 10
18 x 30 is like 10 groups of 18 x 3
18 x 30 is like (18 x 3) x 10
Use area model to solve this equation:
25 x 37 =
Show your work!
925