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
Answer
4,400
Section A: Rounding Off Quantities
1. Round off the following numbers to the nearest hundred:
a) 4,372 Step 1: Identify the hundreds digit, which is 3. Step 2: Look at the digit to its right, which is 7. Step 3: Since 7 is 5 or greater, round up the hundreds digit (3 becomes 4). Step 4: Replace the digits to the right with zeros.
b) 8,950 Step 1: Identify the hundreds digit, which is 9. Step 2: Look at the digit to its right, which is 5. Step 3: Since 5 is 5 or greater, round up the hundreds digit (9 becomes 10, so the thousands digit also increases). Step 4: Replace the digits to the right with zeros.
2. Round off the following to two decimal places:
a) 12.4572 Step 1: Identify the second decimal place, which is 5. Step 2: Look at the digit to its right, which is 7. Step 3: Since 7 is 5 or greater, round up the second decimal place (5 becomes 6). Step 4: Truncate the number after the second decimal place.
b) 0.0839 Step 1: Identify the second decimal place, which is 8. Step 2: Look at the digit to its right, which is 3. Step 3: Since 3 is less than 5, keep the second decimal place as it is. Step 4: Truncate the number after the second decimal place.
3. Round off the following to three significant figures:
a) 56,721 Step 1: Identify the first three significant figures: 5, 6, 7. Step 2: Look at the digit immediately after the third significant figure (7), which is 2. Step 3: Since 2 is less than 5, keep the third significant figure as it is. Step 4: Replace the remaining digits with zeros to maintain the magnitude.
b) 0.004026 Step 1: Identify the first three significant figures. The leading zeros are not significant. The first significant figure is 4, the second is 0, the third is 2. Step 2: Look at the digit immediately after the third significant figure (2), which is 6. Step 3: Since 6 is 5 or greater, round up the third significant figure (2 becomes 3). Step 4: Truncate the number after the third significant figure.
4. A bag of rice weighs 25.48 kg. Round this weight to the nearest whole number. Step 1: Identify the whole number part, which is 25. Step 2: Look at the digit immediately after the decimal point, which is 4. Step 3: Since 4 is less than 5, keep the whole number as it is. Step 4: Remove the decimal part.
Section B: Estimating Percentages of Quantities
5. Estimate the value of 11% of 198. Show your rounding. Step 1: Round 11% to the nearest 10%, which is 10%. Step 2: Round 198 to the nearest hundred, which is 200. Step 3: Calculate 10% of 200.
6. Estimate the value of 24% of 405. Step 1: Round 24% to the nearest 10% or a common fraction equivalent. 24% is close to 25%. Step 2: Round 405 to the nearest hundred, which is 400. Step 3: Calculate 25% of 400.
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Section A: Rounding Off Quantities 1. Round off the following numbers to the nearest hundred: a) 4,372 Step 1: Identify the hundreds digit, which is 3.
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.