Scientific Notation Operations

This video tutorial covers the multiplication and division of numbers in scientific notation. It explains the rules of exponents, such as keeping the base and adding or subtracting exponents when multiplying or dividing like bases. The tutorial includes four examples: two for multiplication and two for division, demonstrating how to handle scientific notation and adjust exponents to maintain proper notation.

What is the first step when multiplying or dividing numbers in scientific notation?

• Add the exponents

• Group like factors together

• Subtract the exponents

• Convert to decimal form

When multiplying numbers with the same base, what should you do with the exponents?

• Multiply them

• Divide them

• Add them

• Subtract them

When dividing numbers with the same base, what should you do with the exponents?

• Divide them

• Subtract them

• Add them

• Multiply them

In the example 5.1 x 10^7 x 2 x 10^2, what is the result of multiplying the constants?

• 8.1

• 12.2

• 10.2

• 7.1

After multiplying 5.1 x 10^7 and 2 x 10^2, what is the correct scientific notation for the result?

• 10.2 x 10^9

• 10.2 x 10^10

• 1.02 x 10^10

• 1.02 x 10^9

In the example 2.3 x 10^4 x 4.5 x 10^-5, what is the result of multiplying the constants?

• 11.35

• 10.35

• 9.35

• 8.35

What is the exponent result when multiplying 10^4 and 10^-5?

• 1

• -9

• -1

• 0

In the division example 7.2 x 10^-5 / 4 x 10^-3, what is the result of dividing the constants?

• 2.8

• 0.8

• 3.8

• 1.8

What is the exponent result when dividing 10^-5 by 10^-3?

• 2

• -8

• -2

• 0

In the division example 1.2 x 10^4 / 3 x 10^8, what is the correct scientific notation for the result?

• 4 x 10^-5

• 4 x 10^-4

• 0.4 x 10^-4

• 0.4 x 10^-5