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.
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Here are the conversions: i) Convert 1999 m to (km + m): Step 1: Divide 1999 by 1000 to find the kilometers and the remainder for meters. 1999 m = 1 km + 999 m i) 1 km 999 m j) Convert 6330 m to (km). Leave your answer in fraction form: Step 1: Convert meters to kilometers by dividing by 1000. 6330 m = (6330)/(1000) km Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, 10. (6330)/(1000) = (633)/(100) km Step 3: Express the improper fraction as a mixed number. (633)/(100) km = 6 (33)/(100) km j) 6 (33)/(100) km k) Convert 3875 m to (km). Leave your answer in fraction form: Step 1: Convert meters to kilometers by dividing by 1000. 3875 m = (3875)/(1000) km Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, 125. (3875 ÷ 125)/(1000 ÷ 125) km = (31)/(8) km Step 3: Express the improper fraction as a mixed number. (31)/(8) km = 3 (7)/(8) km k) 3 (7)/(8) km l) Convert 4250 m to (km). Leave your answer in fraction form: Step 1: Convert meters to kilometers by dividing by 1000. 4250 m = (4250)/(1000) km Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, 250. (4250 ÷ 250)/(1000 ÷ 250) km = (17)/(4) km Step 3: Express the improper fraction as a mixed number. (17)/(4) km = 4 (1)/(4) km l) 4 (1)/(4) km That's 2 down. 3 left today — send the next one.