Exploring Grade 8 Unit 7 Lesson 5 Concepts

This video tutorial covers Math 8 Unit 7 Lesson 5, focusing on negative exponents with powers of 10. It begins with an introduction to negative exponents, followed by a table activity to explore their meaning. The lesson includes matching exponent rules with expressions and concludes with a review and homework instructions.

What does 10 to the power of 0 equal?

• 100

• 1

• 0

• 10

How do you represent 1/10 using a negative exponent?

• 10 to the power of -10

• 10 to the power of 0

• 10 to the power of 1

• 10 to the power of -1

What pattern is observed when moving from 10 to the 2nd power to 10 to the -1 power?

• Multiplying by 10

• Subtracting 1

• Dividing by 10

• Adding 1

How is 10 to the negative 7th power written as a fraction?

• 1 over 10 million

• 1 over 100

• 1 over 10 thousand

• 1 over 10

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

• 1 over 10 to the power of -6

• 10 to the power of -6

• 1 over 10 to the power of 6

• 10 to the power of 6

What does 10 to the negative 2 over 10 to the negative 5 simplify to?

• 10 to the power of -7

• 10 to the power of 7

• 10 to the power of -3

• 10 to the power of 3

What is equivalent to 1 over 10,000?

• 10,000 to the power of -1

• 10 to the power of 4

• 10 to the power of -4

• 1 over 100 to the power of 2

What does the constant of proportionality represent in y = 3.5x?

• 3.5 loads per square foot of dirt

• 3.5 square feet of dirt per load

• 3.5 hats per $10

• 3.5 cups of water per salt

How do you determine if two triangles are similar?

• They have the same area

• They have two pairs of congruent angles

• They have the same side lengths

• They have one congruent angle

What is the scale factor from triangle ABC to triangle EDC if side BC is 36 and side DE is 10?

• 2 to 3

• 3 to 2

• 36 to 10

• 10 to 36