Operations with Exponents and Scientific Notation

This video tutorial explains how to add and subtract numbers in scientific notation. It covers examples where numbers have the same power of 10, as well as cases with different powers. The tutorial also includes examples with negative exponents and provides step-by-step instructions for adjusting powers to perform operations. Viewers are encouraged to practice with additional problems.

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

• Add the coefficients

• Multiply the coefficients

• Subtract the coefficients

• Divide the coefficients

Why can we add coefficients when numbers have the same power of 10?

• Because they are added to the same power of 10

• Because they are subtracted from the same power of 10

• Because they are multiplied by different powers of 10

• Because they are multiplied by the same power of 10

In the example of subtracting numbers with the same power of 10, what is the result of 9.3 - 7?

• 1.3

• 2.3

• 3.3

• 4.3

What should you do first when numbers have different powers of 10?

• Adjust the exponents to be the same

• Subtract the coefficients directly

• Add the coefficients directly

• Multiply the coefficients

How do you adjust a smaller exponent to match a larger one?

• Divide the larger exponent by 10

• Add 10 to the smaller exponent

• Multiply the smaller exponent by a power of 10

• Multiply the smaller exponent by 10

When adding numbers with negative exponents, what is the first step?

• Subtract the coefficients directly

• Adjust the exponents to be the same

• Add the coefficients directly

• Multiply the coefficients

In the example of subtracting numbers with negative exponents, what is the result of 7.816 - 0.0052?

• 7.8128

• 7.8108

• 7.8118

• 7.8138

What is the final result of adding 2.98 x 10^-11 and 5 x 10^-9?

• 5.0298 x 10^-10

• 5.0298 x 10^-8

• 5.0298 x 10^-11

• 5.0298 x 10^-9