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
Here are the solutions to the problems: Problem 5: To express 4(1)/(2) kg as an improper fraction, we multiply the whole number by the denominator and add the numerator. This sum becomes the new numerator, while the denominator remains the same. Step 1: Multiply the whole number by the denominator. 4 × 2 = 8 Step 2: Add the numerator to the result from Step 1. 8 + 1 = 9 Step 3: Place this sum over the original denominator. (9)/(2) The improper fraction is (9)/(2) kg. Problem 6: To find the reciprocal of a fraction, we simply invert the fraction (swap the numerator and the denominator). Step 1: Identify the given fraction. (5)/(6) Step 2: Invert the fraction to find its reciprocal. Reciprocal of (5)/(6) = (6)/(5) The reciprocal is (6)/(5). Problem 7: To write 2.5 × 10^3 J in ordinary form, we move the decimal point to the right by the number of places indicated by the exponent of 10. Step 1: Identify the number and the exponent. 2.5 × 10^3 The exponent is 3, so we move the decimal point 3 places to the right. Step 2: Move the decimal point. 2.5 2500 The ordinary form is 2500 J.