Adding and Subtracting in Scientific Notation

This video tutorial covers the basics of adding and subtracting numbers in scientific notation. It explains the importance of having the same powers of 10 for addition and subtraction, and provides examples for both operations. The tutorial also addresses how to handle cases where the powers of 10 differ, demonstrating how to adjust them to perform the operations correctly. The video concludes with a summary and a preview of the next topic, which is multiplying and dividing in scientific notation.

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

• Add the constants

• Multiply the constants

• Subtract the exponents

• Add the exponents

What must be true for adding or subtracting numbers in scientific notation?

• Any power of ten is acceptable

• The constants must be the same

• The powers of ten must be the same

• The exponents must differ by 1

What is the result of adding 2.1x10^3 and 4.4x10^3?

• 6.5

• 6.5x10^3

• 2.1x10^6

• 6.5x10^6

What do you do if the constant is not between 1 and 10 after subtraction?

• Change the power of ten

• Leave it as is

• Subtract 1 from the exponent

• Adjust the decimal point of the constant

How do you adjust the power of ten when the constants' sum is less than 1?

• Decrease the exponent by 1

• No adjustment needed

• Increase the exponent by 1

• Multiply the exponent by 10

What happens to the decimal point when adjusting a constant less than 1 to be between 1 and 10?

• It moves to the left

• It stays the same

• It is removed

• It moves to the right

What is the correct way to simplify 8.0x10^5 - 7.6x10^5?

• 0.4x10^4

• 0.4x10^5

• 4x10^5

• 4x10^4

How do you handle adding numbers in scientific notation with different powers of ten?

• Change the smaller power to match the larger

• Leave the powers as they are

• Subtract the smaller power from the larger

• Add the powers together

What is the final step after adjusting constants and powers of ten in scientific notation?

• Divide the constants

• Simplify the expression

• Multiply the constants

• Add the exponents

When adjusting a 3.5x10^4 to match a power of 10^5, what does the constant become?

• 350

• 35

• 0.35

• 3.5