Scientific Notation and Exponents

This video tutorial explains how to add and subtract numbers in scientific notation. It covers the steps needed to align exponents, adjust decimals, and ensure results are in proper scientific notation. The tutorial includes four examples, demonstrating both addition and subtraction with positive and negative exponents, and emphasizes checking that results are between 1 and 10.

What is the first step in adding or subtracting numbers in scientific notation?

• Convert to decimal form

• Multiply the factors

• Divide the factors

• Get the same powers of 10 on each number

In the first example, what is the new factor after adjusting the decimal?

• 0.288

• 3.088

• 0.188

• 2.9

When subtracting numbers with negative exponents, what should you remember about the exponents?

• Negative exponents are ignored

• The more negative exponent is smaller

• Negative exponents are added directly

• The more negative exponent is larger

In the second example, what is the result of subtracting 0.56 from 3.62?

• 4.18

• 3.06

• 3.62

• 0.56

In the third example, how many places is the decimal moved to the left?

• Two places

• One place

• Three places

• Four places

What is the final factor in the third example after subtraction?

• 1.557

• 1.6

• 0.557

• 0.043

In the last example, what is the new factor after adjusting the decimal?

• 0.38

• 5.6

• 0.56

• 5.98

What is the final answer in the last example?

• 5.98 times 10 to the negative sixth

• 0.38 times 10 to the negative fifth

• 5.98 times 10 to the negative fifth

• 5.6 times 10 to the negative fifth

What should you check about the factor in scientific notation?

• It should be a whole number

• It should be less than 1

• It should be between 1 and 10

• It should be greater than 10

What is the main difference between adding/subtracting and multiplying/dividing in scientific notation?

• Powers of 10 are ignored in multiplying/dividing

• Exponent rules are used in adding/subtracting

• Exponent rules are not used in adding/subtracting

• Decimals are not adjusted in multiplying/dividing