Understanding Standard Form and Powers

This video tutorial explains the concept of standard form, a method for writing very large or small numbers. It covers the general format of standard form, where the front number is between 1 and 10, and the power is a whole number. The video provides examples to illustrate correct and incorrect standard forms. It also explains how positive and negative powers affect the size of the number, and how to move the decimal point accordingly. The tutorial concludes with a summary of the key points discussed.

What is the range for the front number in standard form?

• Less than 0

• Between 0 and 1

• Greater than 10

• Between 1 and 10

Which of the following is NOT in standard form?

• 4.5 × 10^4

• 0.7 × 10^-2

• 1 × 10^-13

• 9.34 × 10^5.5

Why is 9.34 × 10^5.5 not in standard form?

• The front number is not between 1 and 10

• The power is not a whole number

• The front number is less than 1

• The power is negative

What does a positive power indicate in standard form?

• The number is large

• The number is small

• The number is negative

• The number is zero

How do you interpret a negative power in standard form?

• Multiply the front number by 10

• Divide the front number by 10

• Add 10 to the front number

• Subtract 10 from the front number

What happens to the decimal point when the power is positive?

• It moves to the right

• It moves to the left

• It stays the same

• It disappears

In the example 2.7 × 10^3, how many places do you move the decimal point?

• 2 places to the left

• 1 place to the right

• 3 places to the right

• 3 places to the left

For 5 × 10^-2, what is the resulting number?

• 50

• 0.5

• 0.05

• 5

What is the first step in converting 5 × 10^-2 to its actual value?

• Move the decimal point to the right

• Multiply by 10

• Add a point zero to the number

• Add a zero to the right

What is the final step in converting a number in standard form to its actual value?

• Add a decimal point

• Multiply by 10

• Remove the old decimal point

• Add zeros to the left