Exploring Rational Expressions in Grade 8 Math

This video tutorial by Matthew covers Unit 7, Lesson 9, focusing on describing large and small numbers using powers of 10. It explains positive and negative exponents, provides real-world examples, and uses base 10 blocks to illustrate place values. The lesson includes matching expressions to diagrams and offers advanced practice problems. The session concludes with a summary and homework instructions.

What is 10 to the third power?

• 100

• 10,000

• 1,000

• 100,000

How many zeros are there in 10 to the 12th power?

• 12

• 9

• 6

• 15

What does 10 to the negative third represent?

• 0.001

• 0.01

• 0.0001

• 0.1

If each square represents one tree, how many trees are there in a block of 100 squares?

• 10

• 50

• 100

• 200

What is the value of one small square if each square represents 10 books?

• 10

• 100

• 1,000

• 10,000

In the diagram, if each small square represents 10 to the negative fourth, what is the value of the entire diagram?

• 2.54

• 25.4

• 0.0254

• 0.254

What is the value of a single small square if the diagram represents 2 times 10 to the negative 1 plus 4 times 10 to the negative 2?

• 10 to the negative 4

• 10 to the negative 1

• 10 to the negative 2

• 10 to the negative 3

How many zeros are there in the result when you square a googol?

• 300

• 400

• 100

• 200

What is the advantage of using powers of 10 to write large numbers?

• It makes the number larger

• It helps to see how large the number is by looking at the exponent

• It avoids the use of decimals

• It makes the number smaller

How would you write 500 billion using powers of 10?

• 5 x 10^11

• 50 x 10^9

• 500 x 10^9

• 5 x 10^9