Scientific Notation Operations and Rules

The video tutorial from Mumu Math explains how to add and subtract numbers in scientific notation. It covers the importance of having the same base numbers and exponents for addition, and how to adjust them if they differ. The tutorial also emphasizes the need for the coefficient to be between 1 and 10 for correct scientific notation. It provides examples of both addition and subtraction, highlighting the process of adjusting exponents and ensuring accuracy by considering significant figures.

What must be true about the base numbers and powers when adding in scientific notation?

• The base numbers must be the same, but powers different.

• The base numbers must be different, but powers the same.

• They must be different.

• They must be the same.

What should you do if the powers are different when adding in scientific notation?

• Change the base number.

• Add the powers together.

• Adjust the coefficient.

• Ignore the difference.

What range should the coefficient be in after adding in scientific notation?

• Between 1 and 10

• Between 100 and 1000

• Between 0 and 1

• Between 10 and 100

How do you determine the accuracy of your answer in scientific notation?

• By ignoring significant figures

• By counting the number of decimal places

• By counting the number of significant figures

• By adding more significant figures

What is the first step in solving an addition problem in scientific notation?

• Adjust the base numbers

• Ensure exponents are equal

• Subtract the coefficients

• Add the coefficients directly

In the example problem, what adjustment is made to the exponent to add the numbers?

• Increase the exponent

• Decrease the exponent

• Keep the exponent the same

• Multiply the exponent by 2

What is the correct form of the answer after adding in scientific notation?

• Coefficient less than 0

• Coefficient greater than 10

• Coefficient between 1 and 10

• Coefficient between 0 and 1

What is the first step in solving a subtraction problem in scientific notation?

• Ensure exponents are equal

• Subtract the coefficients directly

• Adjust the base numbers

• Add the coefficients

In the subtraction example, what happens to the exponent when the number is made smaller?

• The exponent decreases

• The exponent is multiplied by 2

• The exponent increases

• The exponent stays the same

How many significant figures should the final answer have in the subtraction example?

• Four

• Three

• Two

• One