Round Multi-Digit

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Answer Key & Explanations

Round Multi-Digit · Grade 4 · Worksheet 1

1. Charlotte is looking at a number line on her math worksheet. The number line shows the number 6,827 marked with a dot. There are arrows pointing to the nearest thousand and the nearest hundred. What is 6,827 rounded to the nearest hundred? Answer: 6,800 Solution: Identify the digit in the hundreds place of 6,827. The hundreds digit is 8, so the number is between 6,800 and 6,900. Step 2: Look at the tens digit, which is 2.
   Full step-by-step solution

   Step 1: Identify the digit in the hundreds place of 6,827. The hundreds digit is 8, so the number is between 6,800 and 6,900. Step 2: Look at the tens digit, which is 2. Since 2 is less than 5, we round down. Step 3: Rounding down means we keep the hundreds digit as 8 and change the tens and ones digits to 0. So 6,827 rounded to the nearest hundred is 6,800. The answer is 6,800.

2. A rectangular swimming pool is drawn on a grid where each square unit represents 1 square meter. The pool's length measures 15 units and its width measures 12 units. What is the area of the swimming pool in square meters? Answer: 180 Solution: The area of a rectangle is found by multiplying its length by its width. The length is 15 units and the width is 12 units. Multiply 15 by 12: 15 × 12 = 180.
   Full step-by-step solution

   Step 1: The area of a rectangle is found by multiplying its length by its width. Step 2: The length is 15 units and the width is 12 units. Step 3: Multiply 15 by 12: 15 × 12 = 180. Step 4: Since each square unit represents 1 square meter, the area is 180 square meters. The answer is 180.

3. 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.

4. 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.

5. 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

6. 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.

7. Round 6,359 to the nearest hundred. Answer: 6,400 Solution: Identify the hundreds place in 6,359. The hundreds digit is 3, so we're looking at 6,300. Look at the digit immediately to the right (tens place), which is 5.
   Full step-by-step solution

   Step 1: Identify the hundreds place in 6,359. The hundreds digit is 3, so we're looking at 6,300. Step 2: Look at the digit immediately to the right (tens place), which is 5. Step 3: Since the tens digit is 5 or greater, we round up. Step 4: Rounding 6,300 up to the next hundred gives us 6,400. The answer is 6,400.