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 solutions to the problems: Part (ج): Factors of 48 Step 1: List all numbers that divide 48 evenly. The factors of 48 are the numbers that can be multiplied together to get 48. Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Question 5: a) Fill in the blanks with appropriate numbers: 1. پونے چار کلو گرام (Three and a quarter kilograms) to grams Step 1: Convert "three and a quarter kilograms" to a decimal. Three and a quarter kilograms = 3.75 kg Step 2: Convert kilograms to grams (1 kg = 1000 g). 3.75 kg = 3.75 × 1000 g = 3750 g So, پونے چار کلو گرام = 3750 گرام 2. 5 لیٹر (5 Liters) to milliliters Step 1: Convert liters to milliliters (1 L = 1000 mL). 5 L = 5 × 1000 mL = 5000 mL So, 5 لیٹر = 5000 ملی لیٹر 3. 10000 میٹر (10000 Meters) to kilometers Step 1: Convert meters to kilometers (1 km = 1000 m). 10000 m = (10000)/(1000) km = 10 km So, 10000 میٹر = 10 کلومیٹر 4. 400 سینٹی میٹر (400 Centimeters) to meters Step 1: Convert centimeters to meters (1 m = 100 cm). 400 cm = (400)/(100) m = 4 m So, 400 سینٹی میٹر = 4 میٹر b) Number of pieces from a wire Step 1: Convert the total length of the wire to centimeters. Total length of wire = 4 meters 40 cm Since 1 meter = 100 cm, 4 meters = 4 × 100 cm = 400 cm Total length = 400 cm + 40 cm = 440 cm Step 2: Divide the total length by the length of each piece. Length of each piece = 5 cm Number of pieces = Total lengthLength of each piece = 440 cm5 cm Number of pieces = 88 From this wire, 88 pieces will be prepared.