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 for Exercise 7.4, Exercise 7.5, and the Challenge section. Exercise 7.4: Copy and complete 1. Step 1: Convert the fraction to a decimal. (43)/(100) = 0.43 The answer is 0.43 2. Step 1: Convert the fraction to a decimal. (9)/(10) = 0.9 The answer is 0.9 3. Step 1: Find the equivalent fraction with a denominator of 10. (2)/(5) = (2 × 2)/(5 × 2) = (4)/(10) Step 2: Convert the equivalent fraction to a decimal. (4)/(10) = 0.4 The answer is (4)/(10) = 0.4 4. Step 1: Find an equivalent fraction with a denominator of 100. (1)/(4) = (1 × 25)/(4 × 25) = (25)/(100) Step 2: Convert the equivalent fraction to a decimal. (25)/(100) = 0.25 The answer is (25)/(100) = 0.25 5. Step 1: Find the equivalent fraction with a denominator of 100. (11)/(20) = (11 × 5)/(20 × 5) = (55)/(100) Step 2: Convert the equivalent fraction to a decimal. (55)/(100) = 0.55 The answer is (55)/(100) = 0.55 6. Step 1: Find the equivalent fraction with a denominator of 100. (19)/(20) = (19 × 5)/(20 × 5) = (95)/(100) Step 2: Convert the equivalent fraction to a decimal. (95)/(100) = 0.95 The answer is (95)/(100) = 0.95 Exercise 7.5 1. Write as common fractions in their simplest form: a) 0.26 Step 1: Write the decimal as a fraction. 0.26 = (26)/(100) Step 2: Simplify the fraction. (26 ÷ 2)/(100 ÷ 2) = (13)/(50) The answer is (13)/(50) b) 0.08 Step 1: Write the decimal as a fraction. 0.08 = (8)/(100) Step 2: Simplify the fraction. (8 ÷ 4)/(100 ÷ 4) = (2)/(25) The answer is (2)/(25) c) 0.43 Step 1: Write the decimal as a fraction. 0.43 = (43)/(100) Step 2: The fraction is already in its simplest form. The answer is (43)/(100) d) 0.25 Step 1: Write the decimal as a fraction. 0.25 = (25)/(100) Step 2: Simplify the fraction. (25 ÷ 25)/(100 ÷ 25) = (1)/(4) The answer is (1)/(4) 2. Write the following decimal numbers as percentages: a) 0.4 Step 1: Multiply the decimal by 100%. 0.4 × 100\% = 40\% The answer is 40\% b) 0.23 Step 1: Multiply the decimal by 100%. 0.23 × 100\% = 23\% The answer is 23\% 3. Write the following common fractions as decimal fractions: a) (17)/(50) Step 1: Convert the fraction to an equivalent fraction with a denominator of 100. (17)/(50) = (17 × 2)/(50 × 2) = (34)/(100) Step 2: Convert the equivalent fraction to a decimal. (34)/(100) = 0.34 The answer is 0.34 b) (13)/(20) Step 1: Convert the fraction to an equivalent fraction with a denominator of 100. 132