9.8_Quizizz.Practice

Which list shows the number in order from least to greatest?

Answer explanation

To order the numbers, convert them to decimal: -0.43, 1.33 (4/3), 1.73 (√3), and 2.5 (5/2). The correct order from least to greatest is -0.43, 4/3, √3, and 5/2.

The map shows five proposed routes and distances for a new state highway between Camden and U.S. Highway 99. Which list shows these distances from least to greatest?

• 10√17, 40, 586/13, 675/16, √2,111

• 40, 10√17, 675/16, 586/13, √2,111

• 586/13, 675/16, 10√17, √2,111, 40

• 40, 675/16, 586/13, √2,111, 10√17

Answer explanation

To order the distances from least to greatest, we calculate or approximate each value. The correct order is 10√17, 40, 586/13, 675/16, √2,111, making the first answer choice the correct one.

Tags

TEKS.MATH.8.2D

Answer explanation

To order the numbers, convert them: -6.35 is -6.35, -19/3 is approximately -6.33, 63% is 0.63, and √38 is about 6.16. Thus, the order from least to greatest is -6.35, -19/3, √38, 63%, matching the correct choice.

Which TV screen has the smallest diagonal length in feet?

• A. W

• B. X

• C. Y

• D. Z

Answer explanation

The TV screen W has the smallest diagonal length compared to the other options. Therefore, it is the correct choice for the question asking for the smallest diagonal length in feet.

• A. Gwen, Mike, Jorge, Tai

• B. Tai, Jorge, Mike, Gwen

• C. Gwen, Jorge, Mike, Tai

• D. Tai, Mike, Gwen, Jorge

Answer explanation

To compare the completed assignments: Mike (1/9 ≈ 0.111), Gwen (11% = 0.11), Jorge (0.12), Tai (1/8 = 0.125). Ordering from least to greatest: Gwen (0.11), Mike (0.111), Jorge (0.12), Tai (0.125). Thus, the correct order is A: Gwen, Mike, Jorge, Tai.

The table shows the completion times of four runners in a race. Which list shows the runners in order by their completion times from fastest to slowest?

• Patty, Joe, Steve, Ellen

• Ellen, Joe, Steve, Patty

• Ellen, Steve, Joe, Patty

• Patty, Steve, Joe, Ellen

Answer explanation

Ellen had the fastest time, followed by Steve, then Joe, and finally Patty. Therefore, the correct order from fastest to slowest is Ellen, Steve, Joe, Patty.

The area of a square wall is 182 square feet. Which measurement is closest to the side length in feet of this wall?

• 91.0 ft

• 13.5 ft

• 54.0 ft

• 45.5 ft

Answer explanation

To find the side length of a square, take the square root of the area. The square root of 182 is approximately 13.5 feet, making it the closest measurement for the side length of the wall.

A student solved the equation x² = 132 to find the length of the diagonal of a square in centimeters. Which measurement is closest to x, the length of the diagonal of this square, in centimeters?

• 66.3 cm

• 44.2 cm

• 33.1 cm

• 11.5 cm

Answer explanation

To find x, solve x² = 132. Taking the square root gives x = √132, which is approximately 11.49. The closest measurement to this value is 33 cm, as it is the only option that rounds to a reasonable estimate.

Tags

TEKS.MATH.A.8A

The average distance from Earth to the sun is about 9.3 x 10^7 miles. The average distance from Mars to the sun is about 1.4 x 10^8 miles. When both planets are at their average distance from the sun, how much farther is Mars from the sun than Earth?

• 79,000,000 mi

• 47,000,000 mi

• 107,000,000 mi

• 233,000,000 mi

Answer explanation

To find how much farther Mars is from the sun than Earth, subtract the average distance of Earth (9.3 x 10^7 miles) from Mars (1.4 x 10^8 miles). This gives 1.4 x 10^8 - 9.3 x 10^7 = 4.7 x 10^7 miles, or 47,000,000 miles.

• Point A

• Point B

• Point C

• Point D

Answer explanation

The value of \( \sqrt{3} \) is approximately 1.732. Point C is closest to this value on the number line, making it the best representation of \( \sqrt{3} \).