Scientific Notation and Multiplication by Factors of 10

The video tutorial explains number representation using stacks and explores the effects of multiplying and dividing numbers by 10. It introduces scientific notation, explaining how it simplifies the representation of large and small numbers. The tutorial includes practical examples to demonstrate converting numbers into scientific notation, emphasizing the importance of understanding place value and exponents.

What number is represented by two 10 stacks and three ones?

• 33

• 32

• 23

• 13

What happens to the number 23 when it is multiplied by 10?

• It becomes 230

• It becomes 2300

• It becomes 23

• It becomes 2.3

What is the scientific notation for 2300?

• 2.3 x 10^3

• 23 x 10^2

• 23 x 10^3

• 2.3 x 10^2

How does dividing by 10 affect the place value of a number?

• It shifts the decimal point to the left

• It shifts the decimal point to the right

• It removes a zero from the end

• It adds a zero at the end

What is the scientific notation for 2,400,000?

• 2.4 x 10^6

• 2.4 x 10^5

• 24 x 10^6

• 24 x 10^5

How many factors of 10 are needed to convert 2.4 to 2,400,000?

• 7

• 6

• 4

• 5

What is the scientific notation for the number 7 with eight factors of 10?

• 0.7 x 10^8

• 0.7 x 10^-8

• 7 x 10^-8

• 7 x 10^8

What is the scientific notation for 0.000045?

• 4.5 x 10^5

• 4.5 x 10^-4

• 4.5 x 10^-5

• 4.5 x 10^4

How many factors of 10 are needed to convert 4.5 to 0.000045?

• 3

• 4

• 6

• 5

What is the scientific notation for 0.000000788?

• 7.88 x 10^-9

• 7.88 x 10^-8

• 7.88 x 10^-7

• 7.88 x 10^-6