Adding and Subtracting Scientific Notation

The video tutorial explains how to add and subtract numbers in scientific notation using two strategies. The first strategy involves converting numbers to standard form, performing the operation, and converting back to scientific notation. The second strategy, preferred by the instructor, involves rewriting numbers to have the same exponent before performing the operation. Examples are provided for both strategies to illustrate the process.

What is the main objective of today's lesson?

• To multiply numbers in scientific notation

• To divide numbers in scientific notation

• To add and subtract numbers in scientific notation

• To convert numbers to fractions

What is the first step in Strategy 1 for adding numbers in scientific notation?

• Add the coefficients directly

• Convert numbers to standard form

• Multiply the exponents

• Divide the coefficients

In Strategy 1, after converting numbers to standard form, what is the next step?

• Add or subtract the values

• Convert back to scientific notation

• Multiply the numbers

• Divide the numbers

In the example using Strategy 1, what is the result of adding 5450 and 31200?

• 34650

• 37650

• 35650

• 36650

In the example using Strategy 1, what is the scientific notation of 36650?

• 3.665 x 10^5

• 3.665 x 10^4

• 3.665 x 10^6

• 3.665 x 10^3

What is the first step in Strategy 2 for adding numbers in scientific notation?

• Convert numbers to standard form

• Ensure numbers have the same exponent

• Add the coefficients directly

• Multiply the exponents

In Strategy 2, what happens to the coefficient if the exponent is decreased?

• The coefficient is divided by 10

• The coefficient remains the same

• The coefficient gets smaller

• The coefficient gets larger

In the example using Strategy 2, what is the result of adding 170 and 6.25?

• 196.25

• 166.25

• 176.25

• 186.25

In the example using Strategy 2, what is the scientific notation of 176.25?

• 1.7625 x 10^7

• 1.7625 x 10^6

• 1.7625 x 10^8

• 1.7625 x 10^5

What should you do if two numbers in scientific notation have different exponents?

• Equalize their exponents

• Convert them to standard form

• Subtract the smaller exponent from the larger one

• Add them directly