Writing Expressions with Exponents to Solve Problems

The video tutorial explores a payment problem where one must choose between a fixed payment and a doubling daily payment. It teaches how to write numerical expressions using exponents and solve them by following the order of operations. The lesson emphasizes understanding numerical expressions, using exponents for efficiency, and solving problems accurately.

What is a numerical expression?

• A list of numbers

• A sentence with numbers and words

• A mathematical phrase with numbers and operations

• A paragraph explaining a math problem

What is the first step in the order of operations?

• Perform operations with exponents

• Multiply or divide

• Add or subtract

• Do everything in parentheses

How many times is the base used as a factor in 5 to the second power?

• Twice

• Once

• Three times

• Four times

What is the value of 2 to the third power?

• 4

• 6

• 8

• 10

How can the expression 4 * 2 * 2 * 2 be written using exponents?

• 2 * 4^3

• 2 * 3^4

• 4 * 3^2

• 4 * 2^3

What is the total payment if $4 doubles each day for four days?

• $16

• $50

• $32

• $60

Which payment option is more profitable?

• $50 as total payment

• Neither is profitable

• $4 doubling each day for four days

• Both are equal