This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey Lizzy, good to see you again. Here are the answers for the true or false statements: a) Step 1: Simplify each fraction to its lowest terms. (1)/(2) = (1)/(2) (2)/(4) = (1)/(2) (3)/(6) = (1)/(2) (4)/(8) = (1)/(2) (5)/(10) = (1)/(2) (6)/(12) = (1)/(2) Step 2: Compare the simplified fractions. All fractions are equal to (1)/(2). The statement is True. b) Step 1: Convert millimeters (mm) to centimeters (cm). There are 10 mm in 1 cm. 500 mm = (500)/(10) cm = 50 cm Step 2: Compare the converted value with the given value. 50 cm = 50 cm The statement is True. c) Step 1: Convert millimeters (mm) to meters (m). There are 1000 mm in 1 m. 500 mm = (500)/(1000) m = 0.5 m Step 2: Compare the converted value with the given value. 0.5 m ≠ 1 m The statement is False. d) Step 1: Simplify the fractions. As shown in part (a), all fractions (1)/(2), (2)/(4), (3)/(6), (4)/(8), (5)/(10), (6)/(12) are equivalent to (1)/(2). Step 2: Convert (1)/(2) km to meters (m). There are 1000 m in 1 km. (1)/(2) km = (1)/(2) × 1000 m = 500 m Step 3: Compare the converted value with the given value. 500 m = 500 m The statement is True. e) Step 1: Simplify both fractions. (6)/(12) = (1)/(2) (2)/(4) = (1)/(2) Step 2: Compare the simplified fractions. (1)/(2) is not bigger than (1)/(2) (they are equal) The statement is False. Drop the next question! 📸