Comparing Numbers in Exponential Notation

This video tutorial teaches how to compare numbers written in exponential notation by understanding place value. It reviews powers of 10, explaining how exponents indicate the number of times 10 is used as a factor. The tutorial compares numbers like 3.2 x 10^4 and 3.2 x 10^5, showing how to determine which is greater by examining exponents and shifting decimals. It also compares 1.4 x 10^3 and 1.4 x 10^4, reinforcing the concept that a higher exponent results in a larger number. The lesson concludes by emphasizing the importance of comparing exponents when whole numbers and decimals are equal.

What is the significance of the exponent in exponential notation?

Explain why 3 and 2/10 times 10 to the fourth power is less than 3 and 2/10 times 10 to the fifth power.

How do you compare whole numbers and decimals when using powers of 10?

Describe the process of shifting digits when comparing numbers in exponential notation.

What steps should be taken if the whole numbers and decimals being compared are equal?