Exponents and Proportional Relationships

The video tutorial covers negative exponents with powers of 10, starting with an introduction to the concept and a number talk. It explores a negative exponent table to understand patterns and decimal movements. The lesson includes matching expressions with exponent rules and concludes with a review of key concepts and homework instructions.

What is the value of 10 to the power of 0?

• 0

• 10

• 100

• 1

If 10 to the negative 3 is written as a fraction, what is the result?

• 1/100

• 1/1000

• 10

• 1/10

How does multiplying by 1/10 affect the decimal point?

• Stays the same

• Doubles

• Shifts right

• Shifts left

What is the result of 10 squared raised to the power of negative 3?

• 10^6

• 10^-6

• 1/10^6

• 1/10^3

When dividing powers with the same base, what operation is performed on the exponents?

• Division

• Multiplication

• Subtraction

• Addition

What is the result of 10 to the negative 2 times 10 to the third?

• 10^1

• 10^5

• 10^-1

• 10

In a proportional relationship, if y = 3.5x, what does 3.5 represent?

• Variable

• Coefficient

• Constant of proportionality

• Exponent

If a store sells 4 hats for $10, what is the cost of one hat?

• $4.00

• $3.00

• $5.00

• $2.50

What is the scale factor if a triangle with a side of 39 is reduced to 26?

• 1/3

• 3/2

• 2/3

• 1/2

Why are triangles ABC and EDC similar?

• Same perimeter

• Same area

• Same angles

• Same side lengths