Round Multi-Digit

lessonbunny.com

Answer Key & Explanations

Round Multi-Digit · Grade 4 · Worksheet 2

1. Noah is helping his aunt organize a charity run. They have collected 2,761 water bottles for the runners. The organizers need to report the approximate number of water bottles to the nearest ten for the supply order. How many water bottles should Noah report? Answer: 2760 Solution: Identify the number we are rounding: 2,761. Step 2: Look at the ones digit, which is 1. Step 3: Since the ones digit is less than 5, we round down.
   Full step-by-step solution

   Step 1: Identify the number we are rounding: 2,761. Step 2: Look at the ones digit, which is 1. Step 3: Since the ones digit is less than 5, we round down. Step 4: Keep the tens digit (6) the same and change the ones digit to 0. Step 5: 2,761 rounded to the nearest ten is 2,760. Noah should report 2,760 water bottles.

2. The school library is organizing books for a book fair. They have 1,487 books to display on shelves. If each shelf can hold about 100 books, approximately how many shelves will they need to display all the books? Answer: 15 Solution: We have 1,487 books and each shelf holds about 100 books. We need to find approximately how many shelves are needed. Set up the division.
   Full step-by-step solution

   Step 1: Understand the problem. We have 1,487 books and each shelf holds about 100 books. We need to find approximately how many shelves are needed. Step 2: Set up the division. To find the number of shelves, divide the total number of books by the number of books per shelf: 1487 ÷ 100. Step 3: Perform the division. 1487 ÷ 100 = 14.87. Step 4: Interpret the result. 14.87 means that 14 shelves would hold 1400 books, but there would be 87 books left over. Step 5: Decide on the number of shelves. Since shelves cannot be partially used for leftover books in this context, we must have a whole number of shelves. If we use 14 shelves, 87 books would remain with no shelf. So we need 1 more shelf for the leftover books. Step 6: Final calculation. 14 shelves + 1 shelf = 15 shelves. Step 7: Check the approximation. 15 shelves × 100 books per shelf = 1500 books capacity, which is enough for 1487 books. Therefore, they will need approximately 15 shelves.

3. A rectangular playground is drawn on a grid where each square unit represents 1 square meter. The playground has a length of 15 meters and a width of 12 meters. What is the area of the playground in square meters? Answer: 180 Solution: The formula for area of a rectangle is length × width The length is 15 meters and the width is 12 meters Multiply 15 × 12 15 × 10 = 150 15 × 2 = 30 150 + 30 = 180 Since each grid square is 1 square meter, the area is 180 square meters The answer is 180.
   Full step-by-step solution

   Step 1: The formula for area of a rectangle is length × width Step 2: The length is 15 meters and the width is 12 meters Step 3: Multiply 15 × 12 Step 4: 15 × 10 = 150 Step 5: 15 × 2 = 30 Step 6: 150 + 30 = 180 Step 7: Since each grid square is 1 square meter, the area is 180 square meters The answer is 180.

4. Kaia is helping her family prepare for a big community fundraiser. They have collected 7,286 cans of food to donate. The organizers asked for the number rounded to the nearest thousand so they can arrange transportation. What number should Kaia report? Answer: 7000 Solution: Identify the number to round: 7,286 Find the place to round to - the thousands place. The digit in the thousands place is 7. Look at the hundreds digit to decide.
   Full step-by-step solution

   Step 1: Identify the number to round: 7,286 Step 2: Find the place to round to - the thousands place. The digit in the thousands place is 7. Step 3: Look at the hundreds digit to decide. The hundreds digit is 2. Step 4: Since 2 is less than 5, we round down. Keep the thousands digit (7) the same and change all digits to the right to zeros. Step 5: 7,286 rounded to the nearest thousand is 7,000. The answer is 7,000.

5. Mere is helping her grandmother organize the buttons in her sewing box. She counts 5,678 buttons. Her grandmother wants to know approximately how many buttons there are, rounded to the nearest hundred. How many buttons should Mere report? Answer: 5,700 Solution: Identify the number: 5,678. We are rounding to the nearest hundred, so we look at the hundreds place (6) and the tens place (7). Step 2: The tens digit is 7, which is greater than or equal to 5.
   Full step-by-step solution

   Step 1: Identify the number: 5,678. We are rounding to the nearest hundred, so we look at the hundreds place (6) and the tens place (7). Step 2: The tens digit is 7, which is greater than or equal to 5. Step 3: Since the tens digit is 5 or more, we round up the hundreds digit from 6 to 7. Step 4: Change the tens and ones digits to zeros. Step 5: The rounded number is 5,700. So Mere should report 5,700 buttons.

6. Round 38,572 to the nearest thousand. Answer: 39,000 Solution: Identify the thousands place in 38,572. The thousands digit is 8, so the number is between 38,000 and 39,000. Look at the digit to the right of the thousands place (the hundreds place), which is 5.
   Full step-by-step solution

   Step 1: Identify the thousands place in 38,572. The thousands digit is 8, so the number is between 38,000 and 39,000. Step 2: Look at the digit to the right of the thousands place (the hundreds place), which is 5. Step 3: Since the hundreds digit is 5 or greater, we round up. Step 4: Increase the thousands digit from 8 to 9, and change all digits to the right to zeros. Step 5: 38,572 rounded to the nearest thousand is 39,000. The answer is 39,000.