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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You're on a roll — here are the solutions for question 12: 12. a) The mobile number of Sunayana's father is 9851086083. (i) What is the place value of 5 in the number? Step 1: Identify the position of the digit 5 in the number 9,851,086,083. The digit 5 is in the hundred millions place. Step 2: Calculate the place value. Place value of 5 = 5 × 100,000,000 = 500,000,000. The place value of 5 is 500,000,000. (ii) What is the face value of 5 in the number? The face value of a digit is the digit itself. The face value of 5 is 5. (iii) Find the difference between the place value and face values of 5 in the number. Step 1: Use the place value and face value found in (i) and (ii). Place value = 500,000,000 Face value = 5 Step 2: Calculate the difference. 500,000,000 - 5 = 499,999,995 The difference is 499,999,995. 12. b) Find the sum and difference between the place values of two sevens in the number 6784037525. Step 1: Identify the place value of the first '7' (from the left) in 6,784,037,525. The first '7' is in the hundred millions place. Place value of first 7 = 7 × 100,000,000 = 700,000,000. Step 2: Identify the place value of the second '7' in 6,784,037,525. The second '7' is in the thousands place. Place value of second 7 = 7 × 1,000 = 7,000. Step 3: Calculate the sum of these place values. 700,000,000 + 7,000 = 700,007,000 The sum is 700,007,000. Step 4: Calculate the difference between these place values. 700,000,000 - 7,000 = 699,993,000 The difference is 699,993,000. 12. c) Find the sum and difference between the place values of nine in the numbers 49560327 and 1024968. Step 1: Find the place value of '9' in the first number, 49,560,327. The '9' is in the millions place. Place value of '9' in 49,560,327 = 9 × 1,000,000 = 9,000,000. Step 2: Find the place value of '9' in the second number, 1,024,968. The '9' is in the hundreds place. Place value of '9' in 1,024,968 = 9 × 100 = 900. Step 3: Calculate the sum of these place values. 9,000,000 + 900 = 9,000,900 The sum is 9,000,900. Step 4: Calculate the difference between these place values. 9,000,000 - 900 = 8,999,100 The difference is 8,999,100. Last free one today — make it count tomorrow, or type /upgrade for unlimited.