Real Number System Review

Trey is assembling furniture, and the table below shows the length of parts A-D. Record the letter of the part that is the longest.

• A

• B

• C

• D

Millie weighed a substance in her science lab that was 3 x 10^-5 lbs. Rewrite the weight of the substance in standard notation.

• 0.00003

• 0.0003

• 0.000003

• 0.0000003

Which of the following shows a list of values in decreasing order?

• A. -6.007, -2π, -√48

• B. -2π, -√48, -6.007

• C. -2π, -6.007, -√48

• D. -6.007, -√48, -2π

Convert the following values into scientific notation. a) 42,670,000

• 4.267 x 10^7

• 4.267 x 10^6

• 42.67 x 10^6

• 426.7 x 10^5

Convert the following values into scientific notation. b) 0.0000008

• 8 x 10^-7

• 8 x 10^-6

• 0.8 x 10^-7

• 80 x 10^-8

Which has a value greater than 600 but less than 6,000?

• A. 6.1 x 10^3

• B. 5.4 x 10^4

• C. 5.26 x 10^3

• D. 7.87 x 10^3

Which statement below is true about irrational numbers?

• A. Some irrational numbers are natural numbers.

• B. Irrational numbers include decimals with a repeating pattern.

• C. The square root of every non-perfect square will be an irrational number.

• D. Irrational numbers will never be real numbers.

Which has the same value as 3.652 x 10^-4?

• A. 0.0003652

• B. 0.00003652

• C. 36,520,000

• D. 36,520

The following set represents a set of rational numbers: {-12.6, 11/15, ____, 0}. Which could be the missing value in the set?

• A. 8π

• B. √196

• C. 14.32641...

• D. √105

Which is the correct classification of the value 7π?

• A. Real, rational, integer

• B. Real, rational

• C. Irrational, integer

• D. Real, irrational