Mixed
What is the value of 10 × 4,000?
40,000
Multiply: 200 × 6
1,200
Write the product of 8 × 8 × 8 × 8 × 8 using exponents.
8⁵
What does “squared” mean in math?
A number multiplied by itself (example: 5² = 5 × 5).
What is a product?
The answer to a multiplication problem.
What is the value of 80 × 50?
4,000
Multiply: 259 × 5
1,295
What is the prime factorization of 44?
2 × 2 × 11
What does “cubed” mean in math?
A number multiplied by itself three times (example: 2³ = 2 × 2 × 2).
What is a factor?
A number that divides into another number evenly or is multiplied by another number.
What is the best estimate of 8 × 22 by rounding?
200
Multiply: 231 × 4
924
What is a factor tree used for?
Prime factorization. Breaks down a number into its factors until all the factors are prime numbers
What is an exponent?
The number that tells how many times the base is used as a factor.
What is the distributive property?
The property that says you can multiply a sum by multiplying each addend and then adding the products.
What is the value of 4 × 10²?
400
Multiply: 433 × 18
7,794
What is the prime factorization of 400?
2 × 2 × 2 × 2 × 5 × 5
What is a “power” in math?
A way to show that a number is multiplied by itself a certain number of times (like 5² or 10³)
What is prime factorization?
A way of expressing a number as a product of its prime factors.
What is the best estimate of 22 × 97 by rounding?
2,000
Multiply: 14 × 2,000
28,000
Write the factorization of 400 using exponents
2⁴ × 5²
What is the value of 9³?
729
What is a power of 10? Give an example.
A number can be written as 10 multiplied by itself a certain number of times, like 10, 100, or 1,000, it is a power of 10. For example, 1,000 = 10 × 10 × 10 = 10³.
Final Jeopardy
Q: The price of admission to the science museum is $12. The museum needs to make $36,000 in August. The museum has already made $24,000.
A. How many tickets has the museum sold?
B. How much more money does the museum need to sell to meet its goal?
C. Show your work to the answers using multiplication, subtraction, and/or addition.
A: First, find how much more money is needed: $36,000 − $24,000 = $12,000.
Each ticket is $12. You can use multiplication with powers of 10: $12 × 1,000 = $12,000.
1,000 is the same as 10³. So, $12 × 10³ = $12,000.
This means 1,000 more tickets (10³ tickets) need to be sold.