Mastering Scientific Notation: Multiplication and Division Techniques

This video tutorial covers the multiplication and division of numbers in scientific notation. It begins with basic multiplication examples, explaining how to multiply coefficients and add exponents. The tutorial progresses to more complex examples, demonstrating how to adjust numbers to proper scientific notation by moving decimal points and adjusting exponents. The video then transitions to division, showing how to divide coefficients and subtract exponents, with examples illustrating the process. Key concepts include handling exponents and maintaining proper scientific notation.

What is the result of multiplying 4 * 10^4 by 2 * 10^3?

• 8 * 10^12

• 6 * 10^12

• 6 * 10^7

• 8 * 10^7

When multiplying numbers in scientific notation, what do you do with the exponents?

• Divide them

• Add them

• Multiply them

• Subtract them

How do you adjust a number in scientific notation to ensure it is in proper form?

• Move the decimal left and increase the exponent

• Move the decimal left and decrease the exponent

• Move the decimal right and decrease the exponent

• Move the decimal right and increase the exponent

What is the result of 9 * 10^4 multiplied by 6 * 10^-7?

• 54 * 10^-3

• 5.4 * 10^-2

• 54 * 10^-2

• 5.4 * 10^-3

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

• Divide the base numbers

• Subtract the exponents

• Add the exponents

• Multiply the base numbers

What is the result of dividing 18 * 10^7 by 6 * 10^3?

• 12 * 10^10

• 12 * 10^4

• 3 * 10^10

• 3 * 10^4

How do you handle the exponents when dividing numbers in scientific notation?

• Subtract them

• Add them

• Multiply them

• Divide them

What is the result of 36 * 10^5 divided by 4 * 10^-4?

• 9 * 10^9

• 9 * 10^1

• 144 * 10^1

• 144 * 10^9

When adjusting a number in scientific notation after division, what should you do if the base is not between 1 and 10?

• Move the decimal right and increase the exponent

• Move the decimal right and decrease the exponent

• Move the decimal left and increase the exponent

• Move the decimal left and decrease the exponent

What is the scientific notation result of 144 * 10^-8 divided by 9 * 10^-3?

• 16 * 10^5

• 1.6 * 10^-4

• 1.6 * 10^4

• 16 * 10^-5