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 6: Place Value To find the place value of the digits 1 and 0 in the number 2013: • The digit 3 is in the ones place. • The digit 1 is in the tens place. • The digit 0 is in the hundreds place. • The digit 2 is in the thousands place. The place value of 1 is tens. The place value of 0 is hundreds. Problem 7: Lowest Common Multiple (LCM) The prime factors of 18 and 12 are given as: 18 = 2 × 3^2 12 = 2^2 × 3 Step 1: Identify all unique prime factors from both numbers. The unique prime factors are 2 and 3. Step 2: For each prime factor, take the highest power that appears in either factorization. • For the prime factor 2: The powers are 2^1 (from 18) and 2^2 (from 12). The highest power is 2^2. • For the prime factor 3: The powers are 3^2 (from 18) and 3^1 (from 12). The highest power is 3^2. Step 3: Multiply these highest powers together to find the LCM. LCM(18, 12) = 2^2 × 3^2 LCM(18, 12) = 4 × 9 LCM(18, 12) = 36 The lowest common multiple (LCM) of 18 and 12 is 36.