Exponents and Scientific Notation Challenge

The video tutorial covers the basics of exponents, including expanded, exponential, and standard forms. It explains how to simplify expressions by combining exponents with the same base and highlights common mistakes, such as incorrectly multiplying bases. The tutorial introduces scientific notation, demonstrating how it simplifies working with large numbers by using a coefficient, base, and exponent. The video also provides examples of converting large numbers into scientific notation and emphasizes the importance of understanding place values.

What does 4 to the 5th power expanded show?

• 4 plus 5

• 5 fours multiplied in succession

• 20 in exponential form

• 4 multiplied by 5

How do you simplify the expression 2 to the 2nd times 2 to the 4th?

• 4 to the 2nd

• 2 to the 8th

• 4 to the 6th

• 2 to the 6th

What is the mistake in simplifying 10 to the 3rd times 5 to the 4th as 50 to the 7th?

• You should subtract the exponents

• You should divide the bases

• You cannot multiply the bases and add the exponents

• You should multiply the exponents

What property justifies that multiplication can be done in any order to get the same result?

• Identity property

• Distributive property

• Associative property

• Commutative property

What is the correct way to simplify 10 to the 3rd times 2 to the 3rd?

• 5 to the 7th times 2 to the 3rd

• 20 to the 6th

• 5 to the 6th

• 12 to the 6th

What must the coefficient in scientific notation be?

• Exactly 5

• Greater than or equal to 1 but less than 10

• Less than 1

• Greater than 10

What base is always used in scientific notation?

• 2

• 5

• 10

• 100

How do you express 7 million 200 thousand in scientific notation?

• 7.2 times 10 to the 5th power

• 720 times 10 to the 3rd power

• 72 times 10 to the 5th power

• 7.2 times 10 to the 6th power

What does the exponent in scientific notation indicate?

• The number of digits in the coefficient

• The number of decimal places the decimal needs to be moved

• The total value of the number

• The number of zeros after the coefficient

What is the standard form of 9.23 times 10 to the 7th power?

• 92,300,000

• 9230000

• 0.92300000

• 92300000