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's a fourth method, focusing on the powers of ten associated with each place value. This method explicitly uses exponents to represent the position of each digit. I) In the number 214: Step 1: Identify the position of the digit 2. The digit 2 is in the hundreds place. Step 2: Determine the power of ten for that position. The hundreds place corresponds to 10^2. Step 3: Calculate the place value. The place value of 2 is 2 × 10^2 = 2 × 100 = 200. II) In the number 85,120: Step 1: Identify the position of the digit 2. The digit 2 is in the tens place. Step 2: Determine the power of ten for that position. The tens place corresponds to 10^1. Step 3: Calculate the place value. The place value of 2 is 2 × 10^1 = 2 × 10 = 20. III) In the number 3: Step 1: Check for the digit 2. The number 3 does not contain the digit 2. The place value of 2 is not applicable. IV) In the number 40.521: Step 1: Identify the position of the digit 2. The digit 2 is in the hundredths place. Step 2: Determine the power of ten for that position. The hundredths place corresponds to 10^-2. Step 3: Calculate the place value. The place value of 2 is 2 × 10^-2 = 2 × (1)/(100) = (2)/(100) = 0.02. Got more? Send 'em!