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: 5. Estimate the difference: 3584 - 2065 Step 1: Round each number to the nearest hundred for estimation. 3584 ≈ 3600 2065 ≈ 2100 Step 2: Subtract the rounded numbers. 3600 - 2100 = 1500 The estimated difference is 1500. 6. How many significant digits are in 26.04813? Step 1: Identify all non-zero digits. The non-zero digits are 2, 6, 4, 8, 1, 3. These are all significant. Step 2: Identify any zeros between non-zero digits. The zero between 6 and 4 is significant. Step 3: Count all significant digits. All digits (2, 6, 0, 4, 8, 1, 3) are significant. There are 7 significant digits. There are 7 significant digits. 7. What answer does the calculator give when performing this operation? 6 3 - 4 + (-) 7 = Step 1: Interpret the operation. The operation represents 6^3 - 4 + (-7). Step 2: Calculate 6^3. 6^3 = 6 × 6 × 6 = 216 Step 3: Perform the subtraction and addition. 216 - 4 + (-7) = 212 - 7 = 205 The calculator gives the answer 205. 8. Perform this operation, and write your answer correct to four significant figures: sqrt(50) - 3 3 = Step 1: Interpret the operation. The operation represents sqrt(50) - 3^3. Step 2: Calculate 3^3. 3^3 = 3 × 3 × 3 = 27 Step 3: Calculate sqrt(50). sqrt(50) ≈ 7.0710678... Step 4: Perform the subtraction. 7.0710678 - 27 = -19.9289322... Step 5: Round the answer to four significant figures. The first four significant figures are 1, 9, 9, 2. The fifth significant figure is 8, so we round up the fourth digit (2) to 3. -19.9289322... ≈ -19.93 The answer correct to four significant figures is -19.93. 9. Round-off 0.38569 to the nearest hundredths. Step 1: Identify the hundredths digit. In 0.38569, the hundredths digit is 8. Step 2: Look at the digit to the right of the hundredths digit. The digit to the right of 8 is 5. Step 3: Round based on the digit to the right. Since 5 is 5 or greater, round up the hundredths digit (8) to 9. Drop all digits after the hundredths place. 0.38569 ≈ 0.39 The number rounded to the nearest hundredths is 0.39. That's 2 down. 3 left today — send the next one.