Middle School Exponents

At a given time, Saturn was 9.1 x 10⁸ miles from the Sun and Earth was 9.3 x 10⁷ miles from the Sun. By what distance is one planet closer to the Sun than the other planet?

• 2 x 10¹

• 2 x 10¹⁵

• 8.17 x 10⁷

• 8.17 x 10⁸

Tags

CCSS.8.EE.A.4

Summerville has a population of 430,000 people, while Eagleton has a population of 5.7 x 10⁵ people. What is the difference between the two towns? Write your answer in scientific notation.

• 1.4 x 10⁵

• 1 x 10⁵

• 0.14 x 10⁴

• 10.0 x 10⁵

Tags

CCSS.8.EE.A.4

After Becca's half-marathon, her pedometer showed 23, 580 steps, while Alex recorded 2.42 x 10⁴ steps after the same race. What is the combined amount of their steps?

• 4.778 x 10³ ; 4,778

• 2.3822 x 10⁴ ; 23,822

• 4.778 x 10⁴ ; 47, 780

• 4.808 x 10⁴ ; 48,080

Tags

CCSS.8.EE.A.4

Find the value of x to make the following equation true.

• x = 1

• x = -7

• x = 8

• x = -6

Park Crest Middle School has a population of about 400 8th graders. Park Crest is one of several middle schools in a state which has a total of 806,240 8th graders. Use powers of ten to estimate about how many times greater the state’s population of 8th graders is compared to the number of 8th graders at Park Crest Middle School.

• 2 x 10³ ; 2,000

• 2 x 10²; 200

• 2 x 10^-3; 2,000

• 2 x 10^-2; 200

Tags

CCSS.8.EE.A.3

• f^23

• f^3

• f^8

• f^2

Tags

CCSS.8.EE.A.1

Simplify the following expression:

x³y³ • x³ / 4x²

• 4x⁷y³

• x⁷y³ / 4

• 4x⁴y³

• x⁴y³ / 4

Tags

CCSS.HSA.APR.A.1