Scientific Notation Concepts and Applications

This video tutorial covers scientific notation, focusing on expressing large numbers using powers of 10. It includes examples like the weight of a blue whale and a whale shark, as well as a large distance in space. The tutorial provides practice problems and explains how to convert numbers back to standard notation.

What is the primary purpose of using scientific notation?

• To convert numbers into fractions

• To simplify addition and subtraction

• To express very large and very small numbers efficiently

• To make numbers look more complex

In scientific notation, what is the range for the coefficient?

• Equal to 0

• Greater than or equal to 1 and less than 10

• Less than 1

• Greater than 10

How do you determine the exponent when converting a number to scientific notation?

• By multiplying the number by 10

• By dividing the number by 10

• By counting how many times the decimal point is moved

• By counting the number of zeros

What is 250,000 in scientific notation?

• 25 x 10^5

• 250 x 10^3

• 2.5 x 10^5

• 2.5 x 10^4

If a number is written as 4.1 x 10^4 in scientific notation, how many places was the decimal moved?

• 5

• 4

• 2

• 3

What is the scientific notation for 93 billion?

• 9.3 x 10^9

• 0.93 x 10^11

• 93 x 10^8

• 9.3 x 10^10

How many zeros are needed when converting 3.5 x 10^6 to standard notation?

• 7

• 8

• 6

• 5

What is the standard notation for 5.7 x 10^11?

• 570,000,000

• 57,000,000,000

• 5,700,000,000,000

• 570,000,000,000

Why does the exponent in scientific notation not always equal the number of zeros?

• Because the decimal point is included in the count

• Because the exponent is always one more than the number of zeros

• Because the exponent is always one less than the number of zeros

• Because the exponent is arbitrary

What is the scientific notation for 9.461 x 10^12?

• 9.461 x 10^11

• 94.61 x 10^11

• 9.461 x 10^12

• 0.9461 x 10^13