Square Roots
Which number is a perfect square: 20, 25, or 27?
25
Find the cube root of 27.
Answer: 3
27 = 3 × 3 × 3 = 33
Estimate ∛50 to the nearest whole number.
∛50≈3.68, when rounded, the value is closer to 4 than to 3.
A ribbon is 3.5 meters long. How many centimeters long is the ribbon?
350 cm
A runner completed a 5-kilometer race. How many miles did the runner travel?
1 kilometer = 0.621 mile
Solution: 5 × 0.621 = 3.105 miles
Simplify: √(9 × 16)
√(9 × 16)=√144= 12
Which of the following numbers is a perfect cube: 8, 12, or 15?
Answer: 8
23 = 2 × 2 × 2 = 8
Estimate √45 to the nearest whole number.
√45 ≈ 6.7 ≈ 7 when rounded to the nearest whole number
A swimming pool has a volume of 12 m³ of water. How many liters of water does it contain?
12,000 liters
The temperature outside is 86°F. What is the temperature in °C?
Formula: °C = 5/9 (°F − 32)
Solution: 5/9 (86 − 32) = 5/9 × 54= 30°C
A square garden has an area of 196 m². What is the length of one side of the garden?
14 meters
A cube-shaped box has a volume of 125 cm³. What is the length of one edge of the box?
5 cm
Write the first five digits in the decimal part of π (pi) without repeating any digit.
Answer: 1, 4, 5, 9, 2
A rectangular garden measures 300 cm long and 200 cm wide. Find its area in square meters (m²).
1 m = 100 cm, A = l × w
Solution: (300 ÷ 100) × (200 ÷ 100) = 3 × 2 = 6 m²
Claudine is traveling from the Philippines to the United States for vacation. Before going on a road trip, she checks the map and sees that the distance from Los Angeles to San Diego is 120 miles. She wants to know how far that is in kilometers so she can better imagine the trip.
1 mile = 1.6093 kilometers
Solution: 120 × 1.6093 = 193.116 km