Milestone review Unit 2: Exponents

Simplify and Evaluate: 𝟏𝟒 𝒂 𝟓 𝒃 𝟗 𝒄 −𝟒 𝟐𝟖𝒂 𝒃 𝟔 𝒄 𝟐 1

What two integers is the number between? 𝟐𝟖 2

Evaluate and write in scientific notation: 𝟖.𝟒𝟐 𝒙 𝟏𝟎 𝟑 𝟓 𝒙 𝟏𝟎 𝟐 3

Which graph represents 𝟗𝟏 ? 4

Students at Kennesaw State pay 𝟏. 𝟓𝟖𝟓 𝒙 𝟏𝟎 𝟒 for tuition Students at Kennesaw State pay 𝟏.𝟓𝟖𝟓 𝒙 𝟏𝟎 𝟒 for tuition. Students at UGA pay 𝟒.𝟓𝟕𝟑 𝒙 𝟏𝟎 𝟓 . About how many times greater is the tuition at UGA? 5

Write in scientific notation: 𝟎.𝟎𝟎𝟎𝟖𝟐𝟓 6

Simplify and Evaluate: (𝟐 𝒂 𝟑 𝒃 𝟔 𝒄) 𝟒 7

Simplify: 𝟏𝟗𝟔 8

Evaluate and write in scientific notation: 𝟑.𝟒 𝒙 𝟏𝟎 𝟐 +(𝟒.𝟓𝟕 𝒙 𝟏𝟎 𝟑 ) 9

Give an example of a rational number. 10

Estimate to the nearest tenth: 𝟕𝟔 11

New York City has a population of 𝟖𝟒 𝒙 𝟏𝟎 𝟓 and Los Angeles has a population of 𝟑.𝟖𝟖𝟒 𝒙 𝟏𝟎 𝟔 . Which city is more populated? 12

Estimate to the nearest tenth: 𝟒𝟓 13

Determine the length of the square: Area = 256 in2 14

Simplify and Evaluate: 𝒚 𝟑 · 𝒚 𝟐 · 𝒚 −𝟔 · 𝒚 𝟎 15

The Jones family wants to build a square deck with an area of 100 square feet. What will be the length of one side of the deck? 16

Give an example of an irrational number. 17

Simplify and Evaluate: (𝟏𝟐 𝒙 𝟐 𝒚 𝟓 ) 𝟎 𝟒𝒙 18

(Write in scientific notation) If light travels at 𝟏.𝟏𝟖𝟑 𝒙 𝟏𝟎 𝟕 miles in one minute, how many miles will it travel in one hour? (Write in scientific notation) 19

Write in standard notation: 𝟒.𝟖 𝒙 𝟏𝟎 −𝟒 20

Write in standard notation: 𝟏.𝟒𝟑 𝒙 𝟏𝟎 𝟓 21

Evaluate and write in scientific notation: (𝟕.𝟏 𝒙 𝟏𝟎 −𝟓 )(𝟔.𝟕 𝒙 𝟏𝟎 −𝟔 ) 22

Simplify and Evaluate: 𝟓 𝒄 −𝟔 𝒅 𝟐 23

Evaluate and write in scientific notation: 𝟖.𝟒𝟏 𝒙 𝟏𝟎 −𝟓 −(𝟕.𝟗 𝒙 𝟏𝟎 −𝟔 ) 24

1 a 4 b 3 2 c 6 5 and 6 1.684 x 10 C About 30 8.25 x 10 −4 16 a 12 b 24 c 4 14 4.91 x 10 3 Answers vary (Any whole number, fraction, or decimal that repeats/terminates) 8.7 New York City 13) 6.7 14) 16 15) 1 y 16) 10 feet Answers vary (Any decimal number that goes on forever without repeating or terminating) 1 4x 7.098 x 10 8 0.00048 143000 4.757 x 10 −10 5 d 2 c 6 7.62 x 10 −5