Scientific Notation Concepts

The video tutorial explains how to write numbers in scientific notation, which involves expressing numbers in the form of 'A x 10^B', where 'A' is the significand and must be between 1 and 10. It demonstrates converting both large and small numbers into scientific notation by adjusting the decimal point and determining the exponent. The tutorial also provides tips on remembering whether the exponent should be positive or negative based on the size of the original number.

What is the range for the significand 'A' in scientific notation?

• Greater than 0 and less than 10

• Greater than 1 and less than or equal to 10

• Greater than or equal to 1 and less than 10

• Greater than or equal to 0 and less than or equal to 10

How many decimal places do you move to convert 15,600,000 into scientific notation?

• 8 places to the right

• 6 places to the left

• 7 places to the left

• 5 places to the right

What is the scientific notation of 15,600,000?

• 1.56 x 10^6

• 1.56 x 10^-7

• 1.56 x 10^7

• 1.56 x 10^-6

Why is the exponent positive when converting a large number to scientific notation?

• To make the significand smaller

• To make the significand larger

• Because the number is less than 1

• Because the number is greater than 10

Where should the decimal point be placed to convert a small number to scientific notation?

• To make the significand equal to 0

• To make the significand between 1 and 10

• To make the significand less than 1

• To make the significand greater than 10

How many decimal places do you move to convert a small number to scientific notation?

• 5 places to the right

• 5 places to the left

• 3 places to the right

• 3 places to the left

What is the scientific notation of a small number if the decimal is moved 5 places to the right?

• 8.72 x 10^-4

• 8.72 x 10^-5

• 8.72 x 10^5

• 8.72 x 10^4

Why is the exponent negative when converting a small number to scientific notation?

• To make the significand larger

• Because the number is greater than 10

• Because the number is less than 1

• To make the significand smaller

What happens to the value of the significand when multiplied by a negative power of 10?

• It remains the same

• It becomes larger

• It becomes smaller

• It becomes zero

What is the purpose of scientific notation?

• To simplify the representation of very large or small numbers

• To make numbers more complex

• To decrease the value of numbers

• To increase the value of numbers