Round Multi-Digit

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Answer Key & Explanations

Round Multi-Digit · Grade 4 · Worksheet 3

1. The school library is collecting books for a reading drive. On Monday, they collected 347 books. On Tuesday, they collected 482 books. On Wednesday, they collected 259 books. To the nearest hundred, how many books did they collect in total? Answer: 1100 Solution: Add the total number of books collected over the three days. Monday: 347 Tuesday: 482 Wednesday: 259 347 + 482 = 829 829 + 259 = 1088 So the total is 1088 books. Round 1088 to the nearest hundred.
   Full step-by-step solution

   Let's go step-by-step. **Step 1: Add the total number of books collected over the three days.** Monday: 347 Tuesday: 482 Wednesday: 259 First, add Monday and Tuesday: 347 + 482 = 829 Now add Wednesday's books: 829 + 259 = 1088 So the total is 1088 books. **Step 2: Round 1088 to the nearest hundred.** To round to the nearest hundred, look at the tens digit. 1088 → the tens digit is 8 (since 1088 = 108 tens and 8 ones). If the tens digit is 5 or greater, we round up. Here, tens digit = 8, so we round up. 1088 → nearest hundred is 1100. **Step 3: Conclusion** The total number of books collected, rounded to the nearest hundred, is 1100.

2. A rectangular playground is drawn on a grid where each square unit represents 4 square meters. The playground spans 15 units in length and 9 units in width. What is the actual area of the playground in square meters? Answer: 540 Solution: Find the area in grid squares: length × width = 15 × 9 = 135 square units Each grid square represents 4 square meters, so multiply by 4: 135 × 4 = 540 The actual area is 540 square meters.
   Full step-by-step solution

   Step 1: Find the area in grid squares: length × width = 15 × 9 = 135 square units Step 2: Each grid square represents 4 square meters, so multiply by 4: 135 × 4 = 540 Step 3: The actual area is 540 square meters.

3. A rectangular garden is drawn on a grid where each square represents 1 square meter. The garden spans 12 squares along its length and 8 squares along its width. What is the area of the garden in square meters? Answer: 96 Solution: We have a rectangular garden drawn on a grid. Each square in the grid represents 1 square meter. The length of the garden is 12 squares, and the width is 8 squares.
   Full step-by-step solution

   Step 1: Understand the problem. We have a rectangular garden drawn on a grid. Each square in the grid represents 1 square meter. The length of the garden is 12 squares, and the width is 8 squares. Step 2: Recall the formula for the area of a rectangle. Area = length × width. Step 3: Substitute the given values into the formula. Length = 12 meters (since each square is 1 meter in length along the side) Width = 8 meters Area = 12 × 8. Step 4: Perform the multiplication. 12 × 8 = 96. Step 5: State the final answer with units. The area of the garden is 96 square meters. Final answer: 96

4. The city is planning a community garden and needs to estimate how many seed packets to order. They have 1,638 tomato seed packets and 2,475 flower seed packets. To the nearest hundred, about how many total seed packets do they have? Answer: 4100 Solution: Round 1,638 to the nearest hundred. Look at the tens digit, which is 3. Since 3 is less than 5, we round down to 1,600.
   Full step-by-step solution

   Step 1: Round 1,638 to the nearest hundred. Look at the tens digit, which is 3. Since 3 is less than 5, we round down to 1,600. Step 2: Round 2,475 to the nearest hundred. Look at the tens digit, which is 7. Since 7 is greater than or equal to 5, we round up to 2,500. Step 3: Add the rounded numbers: 1,600 + 2,500 = 4,100. The estimated total number of seed packets is 4,100.

5. A farmer harvested 347 apples from one tree and 428 apples from another tree. If she rounds each number to the nearest ten before adding them, what is the estimated total number of apples? Answer: 780 Solution: We have 347 apples and 428 apples. - For 347: Look at the ones digit, which is 7. Since 7 is 5 or more, we round up.
   Full step-by-step solution

   Step 1: Identify the numbers to round We have 347 apples and 428 apples. Step 2: Round each number to the nearest ten - For 347: Look at the ones digit, which is 7. Since 7 is 5 or more, we round up. 347 → 350. - For 428: Look at the ones digit, which is 8. Since 8 is 5 or more, we round up. 428 → 430. Step 3: Add the rounded numbers 350 + 430 = 780. Step 4: State the estimated total The estimated total number of apples is 780.

6. Round 5,629 to the nearest hundred. Answer: 5,600 Solution: Identify the hundreds place in 5,629. The hundreds digit is 6, so we're looking at 5,600 or 5,700. Look at the tens digit, which is 2.
   Full step-by-step solution

   Step 1: Identify the hundreds place in 5,629. The hundreds digit is 6, so we're looking at 5,600 or 5,700. Step 2: Look at the tens digit, which is 2. Step 3: Since the tens digit is less than 5, we round down. Step 4: Keep the hundreds digit the same and change the tens and ones digits to zero. Step 5: 5,629 rounded to the nearest hundred is 5,600.

7. The students at Oakwood Elementary are collecting cans for recycling. The 4th grade class collected 1,237 cans. Their teacher asked them to round this number to the nearest hundred for their report. How many cans should they write in their report? Answer: 1200 Solution: Identify the number we are rounding. The number is 1,237. Understand what “round to the nearest hundred” means.
   Full step-by-step solution

   Step 1: Identify the number we are rounding. The number is 1,237. Step 2: Understand what “round to the nearest hundred” means. We need to find the closest multiple of 100 to 1,237. Step 3: Locate the hundreds digit and the digit to its right. In 1,237: - The hundreds digit is 2 (from the “200” part). - The digit to the right of the hundreds place is the tens digit, which is 3. Step 4: Recall the rounding rule. If the digit to the right (the tens digit) is 5 or greater, we round up the hundreds digit. If it is 4 or less, we keep the hundreds digit the same and change the tens and ones digits to 0. Step 5: Apply the rule. The tens digit is 3, which is less than 5. So we keep the hundreds digit (2) the same, and replace the tens and ones digits with zeros. Step 6: Write the rounded number. Keeping the thousands digit 1 and hundreds digit 2, then tens and ones become 0, we get: 1,200. Final Answer: 1200

8. Round 4,827 to the nearest hundred. Answer: 4,800 Solution: Identify the hundreds place and the digit to its right. The number is 4,827. The hundreds place is the third digit from the right.
   Full step-by-step solution

   Step 1: Identify the hundreds place and the digit to its right. The number is 4,827. The hundreds place is the third digit from the right. So, the digits are: 4 (thousands), 8 (hundreds), 2 (tens), 7 (ones). This means we have 8 hundreds. Step 2: Look at the digit immediately to the right of the hundreds place. The hundreds digit is 8. The digit to its right (the tens digit) is 2. Step 3: Apply the rounding rule. The rule for rounding is: - If the digit to the right is 5 or greater (5, 6, 7, 8, 9), we round the hundreds digit up. - If the digit to the right is 4 or less (4, 3, 2, 1, 0), we keep the hundreds digit the same. Here, the tens digit is 2, which is 4 or less. Therefore, we keep the hundreds digit the same. Step 4: Change the digits to the right of the hundreds place to zero. Since we are rounding to the nearest hundred, all digits to the right of the hundreds place become zeros. So, the tens digit (2) and the ones digit (7) become zeros. Step 5: Write the final rounded number. The thousands digit (4) and the hundreds digit (8) stay the same. The tens and ones digits become 0. So, the number is 4,800. ANSWER: 4,800

9. The school library is collecting books for a book drive. The librarian counted 3,847 books donated so far. To the nearest hundred, about how many books have been donated? Answer: 3800 Solution: Identify the number we are rounding. The number of books donated is 3,847. Understand what "to the nearest hundred" means.
   Full step-by-step solution

   Step 1: Identify the number we are rounding. The number of books donated is 3,847. Step 2: Understand what "to the nearest hundred" means. We need to find which hundred 3,847 is closest to — either 3,800 or 3,900. Step 3: Locate the hundreds digit and the digit that decides rounding. In 3,847: - The hundreds digit is the 8 (since 3,847 = 3 thousands, 8 hundreds, 4 tens, 7 ones). - The digit immediately to the right of the hundreds place (the tens digit) is 4. Step 4: Recall the rounding rule. If the tens digit is 5 or greater, we round the hundreds digit up by 1. If the tens digit is 4 or less, we keep the hundreds digit the same and change the tens and ones digits to 0. Step 5: Apply the rule. The tens digit is 4, which is less than 5, so we round down. This means 3,847 rounded to the nearest hundred is 3,800. Step 6: Final answer. About 3,800 books have been donated.