Round Multi-Digit

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Answer Key & Explanations

Round Multi-Digit · Grade 4 · Worksheet 1

1. The school library is collecting books for a reading drive. On Monday, students donated 1,347 books. On Tuesday, they donated 2,589 books. The librarian wants to estimate the total number of books donated by rounding each day's total to the nearest hundred and then adding them together. What is this estimated total? Answer: 3,900 Solution: Identify the numbers to round. We have 1,347 books for Monday and 2,589 books for Tuesday. Round each number to the nearest hundred.
   Full step-by-step solution

   Step 1: Identify the numbers to round. We have 1,347 books for Monday and 2,589 books for Tuesday. Step 2: Round each number to the nearest hundred. To round to the nearest hundred, look at the tens digit: - For 1,347: The tens digit is 4. Since 4 is less than 5, we round down. So 1,347 rounded to the nearest hundred is 1,300. - For 2,589: The tens digit is 8. Since 8 is 5 or greater, we round up. So 2,589 rounded to the nearest hundred is 2,600. Step 3: Add the rounded numbers. 1,300 + 2,600 = 3,900. Step 4: State the final estimated total. The estimated total number of books donated is 3,900.

2. Ava is helping organize the school's sports equipment. She counts 1,638 basketballs in storage and needs to report the approximate number to the nearest hundred for an inventory list. How many basketballs should she report? Answer: 1600 Solution: Identify the number we are rounding: 1,638 Look at the tens digit, which is 3 Since the tens digit is less than 5, we round down Keep the hundreds digit (6) the same and change the tens and ones digits to zeros 1,638 rounded to the nearest hundred is 1,600 Ava should report 1,600 basketballs.
   Full step-by-step solution

   Step 1: Identify the number we are rounding: 1,638 Step 2: Look at the tens digit, which is 3 Step 3: Since the tens digit is less than 5, we round down Step 4: Keep the hundreds digit (6) the same and change the tens and ones digits to zeros Step 5: 1,638 rounded to the nearest hundred is 1,600 Ava should report 1,600 basketballs.

3. Noah is helping his uncle organize a charity fun run. The total number of runners who signed up is 5,261. The organizers need to report the approximate number to the nearest thousand for the town's announcement. What number should Noah report? Answer: 5000 Solution: Identify the number: 5,261. We are rounding to the nearest thousand. Step 2: Look at the hundreds digit, which is 2.
   Full step-by-step solution

   Step 1: Identify the number: 5,261. We are rounding to the nearest thousand. Step 2: Look at the hundreds digit, which is 2. Step 3: Since 2 is less than 5, we round down. Step 4: Keep the thousands digit (5) the same and change all digits to the right to zeros. Step 5: 5,261 rounded to the nearest thousand is 5,000. The answer is 5,000.

4. Emma is helping organize the school's sports equipment. She counts 1,483 basketballs in the gym storage. The principal asks for an approximate number of basketballs rounded to the nearest hundred for a budget report. How many basketballs should Emma report? Answer: 1500 Solution: Identify the number we're rounding: 1,483 Look at the hundreds place, which is 4 (representing 400) Look at the tens digit to the right, which is 8 Since the tens digit is 5 or greater, we round up 1,400 becomes 1,500 when we round up The rounded number is 1,500 Emma should report 1,500 basketballs.
   Full step-by-step solution

   Step 1: Identify the number we're rounding: 1,483 Step 2: Look at the hundreds place, which is 4 (representing 400) Step 3: Look at the tens digit to the right, which is 8 Step 4: Since the tens digit is 5 or greater, we round up Step 5: 1,400 becomes 1,500 when we round up Step 6: The rounded number is 1,500 Emma should report 1,500 basketballs.

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

   Step 1: Add the number of books collected each day. Monday: 347 Tuesday: 482 Wednesday: 259 First, add Monday and Tuesday: 347 + 482 = 829 Now add Wednesday's books: 829 + 259 = 1088 So the exact total is 1088 books. Step 2: Round the total to the nearest hundred. To round to the nearest hundred, look at the tens digit. 1088 — the tens digit is 8 (which is 5 or greater). When the tens digit is 5 or more, we round up. So 1088 rounded to the nearest hundred is 1100. Step 3: State the final answer. The library collected about 1100 books in total.

6. 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 219 books. To the nearest hundred, how many books did the library collect in total over these three days? Answer: 1000 Solution: Monday: 347 Tuesday: 482 Wednesday: 219 347 + 482 = 829 829 + 219 = 1048 So the total number of books collected is 1048. To round 1048 to the nearest hundred, look at the tens digit.
   Full step-by-step solution

   Let's go step by step. **Step 1: Add the books collected each day** Monday: 347 Tuesday: 482 Wednesday: 219 First, add Monday and Tuesday: 347 + 482 = 829 Now add Wednesday's books: 829 + 219 = 1048 So the total number of books collected is 1048. **Step 2: Round to the nearest hundred** To round 1048 to the nearest hundred, look at the tens digit. The tens digit is 4 (in 1048, the number is 1048 → tens digit is 4). If the tens digit is less than 5, we round down; if 5 or more, we round up. Here, tens digit is 4, so we round down. 1048 rounded to the nearest hundred is 1000. **Step 3: Conclusion** The library collected about 1000 books to the nearest hundred. **Final answer:** 1000

7. The city library is planning a reading event and needs to estimate attendance. They expect 1,847 children and 2,356 adults to participate. To the nearest hundred, about how many total people are expected to attend the reading event? Answer: 4200 Solution: Identify the numbers given in the problem. We have 1,847 children and 2,356 adults. Add the two numbers to find the total attendance.
   Full step-by-step solution

   Step 1: Identify the numbers given in the problem. We have 1,847 children and 2,356 adults. Step 2: Add the two numbers to find the total attendance. 1,847 + 2,356 = 4,203 Step 3: Understand what "to the nearest hundred" means. Rounding to the nearest hundred means we look at the tens digit (the digit in the tens place) of 4,203. Step 4: Identify the tens and hundreds digits. 4,203: - The hundreds digit is 2 (from the 200 part). - The tens digit is 0 (from the 03 part, since 203 means 200 + 0 tens + 3 ones). Actually, let's break down 4,203 more carefully: 4,203 = 4 thousands + 2 hundreds + 0 tens + 3 ones. So the tens digit is 0. Step 5: Apply rounding rules. If the tens digit is 0, 1, 2, 3, or 4, we round down (keep the hundreds digit the same). If the tens digit is 5, 6, 7, 8, or 9, we round up (increase the hundreds digit by 1). Here, the tens digit is 0, so we round down. Step 6: Round 4,203 to the nearest hundred. Rounding down means 4,203 becomes 4,200. Step 7: Write the final answer. The total number of people expected, to the nearest hundred, is 4,200. Final Answer: 4200

8. Liam is helping organize the school's sports equipment. He counts 1,483 basketballs in the gym storage. The coach asks him to round this number to the nearest hundred for their inventory report. What number should Liam write down? Answer: 1500 Solution: Identify the number we're rounding: 1,483 Look at the hundreds place: 4 (representing 400) Look at the tens digit to determine rounding: 8 Since 8 is greater than or equal to 5, we round up 1,483 rounded to the nearest hundred becomes 1,500 Liam should write down 1,500 for the inventory report.
   Full step-by-step solution

   Step 1: Identify the number we're rounding: 1,483 Step 2: Look at the hundreds place: 4 (representing 400) Step 3: Look at the tens digit to determine rounding: 8 Step 4: Since 8 is greater than or equal to 5, we round up Step 5: 1,483 rounded to the nearest hundred becomes 1,500 Liam should write down 1,500 for the inventory report.