Understanding Scientific Notation

What is the main purpose of using scientific notation?

• To avoid using decimals

• To make calculations more complex

• To convert numbers into fractions

• To simplify the representation of very large or small numbers

Which of the following is a correct representation of 4,500,000 in scientific notation?

• 0.45 x 10^7

• 45 x 10^5

• 450 x 10^4

• 4.5 x 10^6

How would you express 3 x 10^5 in standard form?

• 3,000,000

• 300,000

• 30,000

• 300

What happens to the decimal point when converting 6.79 x 10^-6 to standard form?

• It moves six places to the right

• It stays in the same position

• It moves three places to the left

• It moves six places to the left

What is the correct scientific notation for 800,000?

• 8.0 x 10^7

• 8.0 x 10^4

• 8.0 x 10^5

• 8.0 x 10^6

If a number is less than one, what will be the sign of its exponent in scientific notation?

• Zero

• Negative

• Positive

• It depends on the coefficient

When estimating the population of Montana as 1 million, what is the scientific notation?

• 1.0 x 10^5

• 1.0 x 10^7

• 1.0 x 10^8

• 1.0 x 10^6

Why is it more appropriate to report the time to the moon in days rather than seconds?

• Seconds are not a standard unit of time

• Days provide a more comprehensible measure for large durations

• Seconds are too large for this context

• Days are a smaller unit

Which planet has the largest diameter based on the given scientific notations?

• Neptune: 4.9 x 10^4 km

• Saturn: 1.2 x 10^5 km

• Uranus: 5.1 x 10^4 km

• All have the same diameter

How do you determine the order of numbers in scientific notation?

• By converting them all to standard form first

• By comparing the coefficients only

• By comparing the exponents first, then the coefficients if needed

• By comparing the number of zeros