Adding and Subtracting in Scientific Notation

This video tutorial covers the process of adding and subtracting numbers in scientific notation. It explains how to handle numbers with the same and different powers of 10, providing examples and practice problems. The tutorial emphasizes the importance of adjusting factors and exponents to maintain scientific notation format.

What is the first step in adding or subtracting numbers in scientific notation with the same power of 10?

• Add or subtract the exponents

• Add or subtract the factors

• Multiply the factors

• Divide the factors

When numbers have different powers of 10, what should you do first?

• Add the factors directly

• Rewrite the numbers to have the same power of 10

• Subtract the exponents

• Multiply the exponents

In Example Problem A, what is the result of adding 4.6 and 8.72?

• 12.32

• 13.32

• 13.72

• 14.32

In Example Problem A, why do we move the decimal point to the left once?

• To make the exponent larger

• To make the exponent smaller

• To make the factor larger

• To make the factor smaller

In Example Problem B, what is the new exponent when changing from 10^-3 to 10^-2?

• -3

• 0

• -1

• -2

In Example Problem B, what is the result of subtracting 0.66 from 3.5?

• 3.16

• 2.94

• 2.84

• 3.84

In Practice Problem 1, what is the new exponent when changing from 10^-1 to 10^2?

• 3

• 4

• 2

• 1

In Practice Problem 1, what is the result of adding 8.2 and 0.0341?

• 8.2341

• 8.341

• 8.234

• 8.241

In Practice Problem 2, what is the result of subtracting 4.5 from 7.8?

• 3.2

• 3.3

• 3.4

• 3.5

In Practice Problem 2, what is the final exponent in the answer?

• -3

• -4

• -6

• -5