Exponent, Expanded, and Standard

The video tutorial explains the concept of powers of 10, also known as exponents, and how they are used in mathematics. It highlights common mistakes, such as multiplying the base number by the exponent instead of raising the base to the power. The tutorial provides examples of multiplying powers of 10 and describes different forms of numbers: exponent, expanded, and standard. It encourages creating a chart to practice translating between these forms and concludes with examples to reinforce learning.

What is the base number in the expression 10 raised to the 4th power?

• 40

• 100

• 10

• 4

Which of the following is a common mistake when calculating powers of 10?

• Subtracting the exponent from the base number

• Multiplying the base number by the exponent

• Adding the base number to the exponent

• Multiplying the base number by itself

How do you express 3 * 10 raised to the power of 2 in expanded form?

• 3 * 10

• 3 * 10 * 10

• 3 + 10 + 10

• 3 + 10

What is the standard form of 10 raised to the power of 3?

• 10

• 100

• 1000

• 10000

Which form represents 5 * 10 raised to the power of 6?

• 5 + 10

• 5 * 10

• 5 * 10 * 10

• 5 * 10 * 10 * 10 * 10 * 10 * 10