Adding and Subtracting Scientific Notation Challenge

The video tutorial covers the basics of adding and subtracting numbers in scientific notation. It begins with an introduction to the components of scientific notation, emphasizing the importance of having one digit to the left of the decimal point and using powers of ten. The tutorial then explains the process of adding and subtracting numbers in scientific notation, including aligning exponents and adjusting them when necessary. Examples are provided to illustrate each step, ensuring that the final result is in correct scientific notation.

What is the range of the number that can be in front of the decimal point in scientific notation?

• 1 to 9

• 0 to 10

• 1 to 10

• 0 to 9

What happens to the exponent when you move the decimal to the left?

• Exponent becomes zero

• Exponent remains the same

• Exponent increases

• Exponent decreases

In the example 1.34 x 10^14 + 1.03 x 10^12, what is the first step?

• Subtract the numbers

• Change the exponent of the smaller number

• Multiply the numbers

• Add the numbers directly

When adding numbers in scientific notation, what should you do if the exponents are the same?

• Add the numbers directly

• Multiply the numbers

• Change the exponents

• Subtract the numbers

In the example 9.89 x 10^2 + 6.25 x 10^2, what is the result in scientific notation?

• 1.614 x 10^3

• 16.14 x 10^2

• 1.614 x 10^2

• 16.14 x 10^3

What should you do if the result of an addition is not in scientific notation?

• Leave it as it is

• Move the decimal to the left and increase the exponent

• Move the decimal to the right and decrease the exponent

• Multiply by 10

In the example 7.05 x 10^5 - 1.2 x 10^5, what is the result?

• 5.85 x 10^6

• 6.85 x 10^6

• 5.85 x 10^5

• 6.85 x 10^5

What should you do if the exponents are different in a subtraction problem?

• Multiply the numbers

• Subtract directly

• Change the smaller exponent to match the larger one

• Change the larger exponent to match the smaller one

In the example 7.52 x 10^5 + 2.872 x 10^6, what is the first step?

• Add the numbers directly

• Subtract the numbers

• Change the exponent of the smaller number

• Multiply the numbers

What is the result of 4.072 x 10^2 + 0.0031 x 10^2?

• 4.0751 x 10^3

• 4.0751 x 10^2

• 4.0751 x 10^1

• 4.0751 x 10^0