Scientific Notation Concepts and Conversions

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, highlighting the placement of 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 or equal to 1 and less than 10

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

• Greater than 1 and less than or equal to 10

Where should the decimal point be placed to convert 15,600,000 into scientific notation?

• Between 1 and 5

• Between 1.56 and 0

• Between 15 and 6

• Between 156 and 0

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

• 5 places to the right

• 7 places to the left

• 6 places to the left

• 7 places to the right

What is the exponent when 15,600,000 is written in scientific notation?

• -7

• +6

• +7

• -6

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

• To make the significand larger

• To make the significand smaller

• Because the number is greater than 10

• Because the number is less than 1

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

• Between 8 and 7

• Between 0 and 8

• Between 8.7 and 2

• Between 8 and 72

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

• 4 places to the right

• 4 places to the left

• 5 places to the left

• 5 places to the right

What is the exponent when a small number is written in scientific notation?

• -4

• -5

• +5

• +4

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

• Because the number is less than 1

• Because the number is greater than 10

• To make the significand smaller

• To make the significand larger

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

• It becomes larger

• It becomes zero

• It becomes smaller

• It remains the same