Converting Scientific Notation to Standard Form

The video tutorial covers the concept of scientific notation, explaining how numbers are expressed as a product of a factor and a power of 10. It details the criteria for a number to be in scientific notation, such as the factor being between 1 and 10, and the exponent being an integer. The tutorial also provides examples to help identify whether a number is in scientific notation and explains how to convert numbers from scientific notation to standard form by moving the decimal point based on the exponent's value.

What is the range for the factor in scientific notation?

• Greater than or equal to 1 and less than 10

• Greater than or equal to 0 and less than 10

• Greater than 0 and less than 10

• Greater than 1 and less than or equal to 10

Which part of the scientific notation tells us if the number is large or small?

• The factor

• The base

• The exponent

• The coefficient

Is the number 5.9 x 10^3 in scientific notation?

• No, because the factor is not an integer.

• Yes, because the factor is between 1 and 10 and the exponent is an integer.

• No, because the factor is not between 1 and 10.

• Yes, because the exponent is positive.

Why is 12 x 10^4 not in scientific notation?

• Because 12 is not an integer.

• Because 12 is greater than 10.

• Because the exponent is not an integer.

• Because the factor is less than 1.

What does a negative exponent indicate when converting to standard form?

• A positive number

• A whole number

• A small number

• A large number

How many places do you move the decimal point for 3.22 x 10^-4?

• 3 places to the left

• 3 places to the right

• 4 places to the left

• 4 places to the right

What is the standard form of 6 x 10^7?

• 60,000,000

• 600,000

• 6,000,000

• 60,000

How do you write 9.9 x 10^-5 in standard form?

• 0.000099

• 0.0000099

• 0.00000099

• 0.0000999

What is the standard form of 1.285 x 10^4?

• 1,285,000

• 12,850

• 1,285

• 128,500

If the exponent is positive, which direction do you move the decimal point?

• It stays the same

• It depends on the factor

• To the right

• To the left