8th -Scientific Notation Quiz

What is the scientific notation for 45,000?

Answer explanation

To express 45,000 in scientific notation, we write it as 4.5 x 10^4. This is because 4.5 multiplied by 10 raised to the power of 4 equals 45,000. Thus, the correct choice is 4.5 x 10^4.

What is the standard form of 4.5 x 10^4?

• 450

• 4,500

• 45,000

• 450,000

Answer explanation

To convert 4.5 x 10^4 to standard form, move the decimal point 4 places to the right, resulting in 45,000. Thus, the correct answer is 45,000.

What does the exponent in scientific notation indicate?

• The number of zeros

• The number of decimal places

• The number of times the base is multiplied by 10

• The number of digits in the number

Answer explanation

In scientific notation, the exponent indicates how many times the base (10) is multiplied. For example, in 2.5 x 10^3, the exponent 3 means 2.5 is multiplied by 10 three times, resulting in 2500.

• 32,000

• 320,000

• 3,200,000

• 320

Answer explanation

To convert 3.2 x 10^5 to standard form, move the decimal point 5 places to the right, resulting in 320,000. Thus, the correct answer is 320,000.

Which of the following is NOT a correct scientific notation?

Answer explanation

The notation '56 x 10^2' is not in correct scientific notation because the coefficient must be between 1 and 10. The other options are valid as they follow the proper format.

What is the scientific notation for 320,000?

Answer explanation

To convert 320,000 to scientific notation, move the decimal point 5 places to the left, resulting in 3.2. Thus, it is expressed as 3.2 x 10^5, making the correct answer 3.2 x 10^5.

What is the scientific notation for 0.00089?

Answer explanation

To convert 0.00089 to scientific notation, move the decimal point 4 places to the right, giving 8.9. Thus, it becomes 8.9 x 10^{-4}, which is the correct choice.

What is the standard form ?

• 0.00076

• 0.0076

• 0.076

• 0.76

Answer explanation

The standard form of a number is typically expressed in scientific notation. Here, 0.00076 is the correct choice as it represents the number in a way that highlights its significant figures, while the others do not.

Convert 75,000 to scientific notation.

• $7.5 x 10^4

• $75 x 10^3

• $0.75 x 10^5

• $7.5 x 10^3

Answer explanation

To convert 75,000 to scientific notation, move the decimal point 4 places to the left, resulting in 7.5. Thus, it can be expressed as 7.5 x 10^4, which is the correct choice.

Convert 8,200,000 to scientific notation.

Answer explanation

To convert 8,200,000 to scientific notation, move the decimal point 6 places to the left, resulting in 8.2. Thus, it can be expressed as 8.2 × 10^6, which is the correct choice.