Mastering Multiplication and Division in Scientific Notation

This video tutorial explains how to multiply and divide numbers using scientific notation. It covers the components of scientific notation, such as the mantissa and power, and demonstrates the process of multiplying and dividing coefficients and exponents. The tutorial also addresses how to adjust the format to ensure correct scientific notation, providing examples for clarity.

What are the two main components of a number written in scientific notation?

• Coefficient and Power

• Mantissa and Base

• Exponent and Base

• Mantissa and Exponent

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

• Divide them

• Add them

• Multiply them

• Subtract them

What is the result of multiplying 2.12 by 3.58 in scientific notation?

• 7.59

• 6.70

• 5.70

• 8.59

In division of numbers in scientific notation, what operation is performed on the exponents?

• Divide them

• Subtract them

• Multiply them

• Add them

What is the result of dividing 9.72 by 3.19 in scientific notation?

• 3.04

• 2.04

• 5.04

• 4.04

What should you do if the result of a multiplication in scientific notation is greater than 10?

• Move the decimal point to the left

• Move the decimal point to the right

• Add 1 to the exponent

• Subtract 1 from the exponent

What happens to the power of 10 when you move the decimal point to the left?

• It doubles

• It increases

• It remains the same

• It decreases

What is the correct scientific notation for 58.2 * 10^10?

• 5.82 * 10^11

• 5.82 * 10^10

• 0.582 * 10^11

• 58.2 * 10^11

What is the correct scientific notation for 0.267 * 10^-3?

• 26.7 * 10^-4

• 0.267 * 10^-4

• 2.67 * 10^-4

• 2.67 * 10^-3

When moving the decimal point to the right, what happens to the power of 10?

• It remains the same

• It increases

• It decreases

• It doubles