Mastering Addition and Subtraction in Scientific Notation

This video tutorial covers the process of adding and subtracting numbers in scientific notation. It emphasizes the importance of having the same exponents when performing these operations and provides step-by-step examples to illustrate the concepts. The tutorial also includes a recap of key points and encourages students to practice the techniques discussed.

What must be the same to add or subtract numbers in scientific notation?

• Base numbers

• Coefficients

• Decimal places

• Exponents

What happens to the exponent if the coefficient is adjusted to a smaller value?

• It increases by 1

• It is halved

• It decreases by 1

• It remains unchanged

How do you adjust a number in scientific notation to maintain proper form if the coefficient becomes too large?

• Decrease the exponent

• Increase the exponent

• Multiply the coefficient by 2

• Divide the coefficient by 2

What is the sum of 6.5 times 10 to the negative eighth power and 3.99 times 10 to the negative eighth power?

• 1.049 times 10 to the negative eighth

• 1.049 times 10 to the negative seventh

• 10.49 times 10 to the negative seventh

• 10.49 times 10 to the negative eighth

When subtracting numbers in scientific notation with different exponents, what should you do first?

• Add the exponents

• Divide the coefficients

• Make the exponents the same

• Subtract the coefficients

If you have to make an exponent larger to match another, what must you do to the coefficient?

• Multiply it by 10

• Make it smaller

• Make it larger

• Leave it unchanged

What is the result of subtracting 2.07 times 10 to the third power from 7 times 10 to the fourth power after adjusting for scientific notation?

• 6.793 times 10 to the third

• 4.93 times 10 to the fourth

• 5.93 times 10 to the third

• 6.793 times 10 to the fourth

What is the correct form of a number in scientific notation?

• No digits before the decimal

• Three digits before the decimal

• One digit before the decimal

• Two digits before the decimal

In the process of adding or subtracting in scientific notation, when do you adjust the exponents?

• After adding or subtracting the coefficients

• Only when adding

• Before adding or subtracting the coefficients

• Only when subtracting

What is the final step after adding or subtracting the coefficients in scientific notation?

• Adjust the base number

• Ensure the answer is in proper form

• Multiply the coefficients

• Change the sign of the exponent