Mastering Multiplication and Division in Scientific Notation

This video tutorial explains how to multiply and divide numbers in scientific notation. It covers several examples, demonstrating the process of rearranging numbers, multiplying coefficients, and adjusting exponents. The tutorial also addresses how to convert results into proper scientific notation, especially when dealing with negative exponents. The video concludes with practice problems to reinforce the concepts learned.

What is the result of multiplying 2 times 10^3 and 3 times 10^4?

• 5 times 10^7

• 6 times 10^7

• 6 times 10^12

• 5 times 10^12

When multiplying in scientific notation, do the powers of 10 need to be the same?

• No

• Yes

• Only when dividing

• Only with negative exponents

What happens to the exponents when multiplying bases of 10 in scientific notation?

• They are added

• They are subtracted

• They are multiplied

• They remain unchanged

How do you convert 12 times 10^4 into scientific notation?

• 1.2 times 10^5

• 12 times 10^5

• 120 times 10^3

• 1.2 times 10^4

What is the simplified form of 9 times 10^12 divided by 3 times 10^4?

• 3 times 10^16

• 3 times 10^8

• 6 times 10^8

• 6 times 10^16

What is the first step in dividing numbers in scientific notation?

• Split into two fractions

• Combine into one fraction

• Multiply the bases

• Add the exponents

How do you simplify 8.4 times 10^-5 divided by 7 times 10^-3?

• 12 times 10^-2

• 1.2 times 10^-8

• 1.2 times 10^-2

• 12 times 10^-8

What is the result of 2.8 times 10^-14 times 1.2 times 10^-9?

• 3.36 times 10^-23

• 3.36 times 10^-24

• 33.6 times 10^-23

• 33.6 times 10^-24

How do you convert 0.5 times 10^1 into scientific notation?

• 50 times 10^5

• 0.5 times 10^7

• 5 times 10^7

• 5 times 10^6

In scientific notation, what must the first number be between?

• Greater than or equal to 0.1 and less than 1

• Greater than 1 and less than 11

• Greater than or equal to 1 and less than 10

• Greater than 0 and less than or equal to 10