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: Question 11: To find the area of the shaded part, we identify it as a triangle. Step 1: Identify the base and height of the shaded triangle. The height of the shaded triangle is given as 4 cm. The base of the shaded triangle is given as 6 cm. Step 2: Use the formula for the area of a triangle. The area of a triangle is given by the formula: Area = (1)/(2) × base × height Step 3: Substitute the values and calculate the area. Area = (1)/(2) × 6 cm × 4 cm Area = (1)/(2) × 24 cm^2 Area = 12 cm^2 The area of the shaded part is 12 cm^2. Question 12: To expand 4734, we write it in terms of its place values. Step 1: Identify the place value of each digit. The digit 4 is in the thousands place (4 × 1000). The digit 7 is in the hundreds place (7 × 100). The digit 3 is in the tens place (3 × 10). The digit 4 is in the ones place (4 × 1). Step 2: Write the number as the sum of its place values. 4734 = 4000 + 700 + 30 + 4 The expanded form of 4734 is 4000 + 700 + 30 + 4. Question 13: To find the least number of mangoes that can be shared among 6 and 8 pupils with no remainder, we need to find the Least Common Multiple (LCM) of 6 and 8. Step 1: List the multiples of each number. Multiples of 6: 6, 12, 18, 24, 30, Multiples of 8: 8, 16, 24, 32, Step 2: Identify the smallest common multiple. The least common multiple of 6 and 8 is 24. The least number of mangoes is 24. Question 15: To round off 1678 to the nearest hundreds, we look at the tens digit. Step 1: Identify the hundreds digit and the digit to its right. The hundreds digit is 6. The digit to its right (the tens digit) is 7. Step 2: Apply the rounding rule. Since the tens digit (7) is 5 or greater, we round up the hundreds digit. The hundreds digit 6 becomes 7. All digits to the right of the hundreds place become 0. 1678 ≈ 1700 1678 rounded to the nearest hundreds is 1700. Question 16: Given that one tomato icon represents 10 tomatoes, we need to represent 90 tomatoes. Step 1: Determine how many icons are needed. Divide the total number of tomatoes by the value of one icon: Number of icons = Total tomatoesTomatoes per icon Number of icons = (90)/(10) = 9 To represent 90 tomatoes, you would draw 9 tomato icons. Send me the next one 📸