Round Multi-Digit

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Answer Key & Explanations

Round Multi-Digit · Grade 4 · Worksheet 3

1. Round 4,629 to the nearest hundred. Answer: 4600 Solution: Identify the hundreds place in 4,629. The digit in the hundreds place is 6. Look at the digit to the right of the hundreds place, which is the tens digit.
   Full step-by-step solution

   Step 1: Identify the hundreds place in 4,629. The digit in the hundreds place is 6. Step 2: Look at the digit to the right of the hundreds place, which is the tens digit. The tens digit is 2. Step 3: Since the tens digit is 2, which is less than 5, we round down. Step 4: Rounding down means the hundreds digit (6) stays the same, and all digits to the right become zero. Step 5: Therefore, 4,629 rounded to the nearest hundred is 4,600.

2. Mere is looking at a number line that shows the number 6,842. The number line has marks for every thousand, from 6,000 to 7,000. A big arrow points to 6,842. To the nearest thousand, what is 6,842 rounded to? Answer: 7,000 Solution: Identify the two thousands that 6,842 is between: 6,000 and 7,000. Find the halfway point between them: 6,500. Compare 6,842 to 6,500.
   Full step-by-step solution

   Step 1: Identify the two thousands that 6,842 is between: 6,000 and 7,000. Step 2: Find the halfway point between them: 6,500. Step 3: Compare 6,842 to 6,500. Since 6,842 is greater than 6,500, it is closer to 7,000. Step 4: Therefore, 6,842 rounded to the nearest thousand is 7,000. The answer is 7,000.

3. Noah is helping his uncle organize a large collection of antique coins. They have 14,683 coins in total. His uncle needs to report the approximate number of coins to the nearest ten thousand for an insurance appraisal. What rounded number should Noah report? Answer: 10,000 Solution: Identify the number to round: 14,683. The digit in the ten thousands place is 1. Step 2: Look at the thousands digit to decide whether to round up or down.
   Full step-by-step solution

   Step 1: Identify the number to round: 14,683. The digit in the ten thousands place is 1. Step 2: Look at the thousands digit to decide whether to round up or down. The thousands digit is 4. Step 3: Since 4 is less than 5, we keep the ten thousands digit the same (1). Step 4: Change all digits after the ten thousands place to zeros. Step 5: The rounded number is 10,000. So Noah should report 10,000 coins.

4. 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

5. 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.

6. Isabella is planning a walkathon for her school's fundraiser. She has collected pledges for 12,847 laps. The school principal wants to announce the approximate number of laps to the nearest thousand during the morning assembly. How many laps should Isabella report? Answer: 13000 Solution: Identify the number: 12,847. We need to round to the nearest thousand, so look at the hundreds digit (the third digit from the right). The hundreds digit is 8.
   Full step-by-step solution

   Step 1: Identify the number: 12,847. Step 2: We need to round to the nearest thousand, so look at the hundreds digit (the third digit from the right). The hundreds digit is 8. Step 3: Since 8 is greater than or equal to 5, we round up. This means we increase the thousands digit by 1. Step 4: The thousands digit is 2, so 2 + 1 = 3. The ten-thousands digit (1) stays the same. All digits to the right of the thousands place become zeros. Step 5: The rounded number is 13,000. Isabella should report 13,000 laps.

7. 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.

8. The school library is collecting books for a book drive. The 4th grade class collected 378 books, and the 5th grade class collected 492 books. To the nearest hundred, about how many books did both classes collect together? Answer: 900 Solution: Find the total number of books collected by both classes. Add the books from 4th grade and 5th grade: 378 + 492 = 870 Understand what "to the nearest hundred" means.
   Full step-by-step solution

   Step 1: Find the total number of books collected by both classes. Add the books from 4th grade and 5th grade: 378 + 492 = 870 Step 2: Understand what "to the nearest hundred" means. Rounding to the nearest hundred means we look at the tens digit of the number. The number is 870. The tens digit is 7. Step 3: Recall the rounding rule. If the tens digit is 5 or greater, we round up. If it is 4 or less, we round down. Here, the tens digit is 7, which is greater than 5, so we round up. Step 4: Round 870 to the nearest hundred. 870 is between 800 and 900. Since 870 has a tens digit of 7, we round up to 900. Step 5: State the final answer. To the nearest hundred, both classes collected about 900 books together.

9. A number line is drawn with marks for each thousand from 4,000 to 5,000. A point on the number line is labeled 4,381. To what thousand is 4,381 closest? Answer: 4,000 Solution: Identify the two thousands 4,381 is between: 4,000 and 5,000. Find the halfway point between 4,000 and 5,000: (4,000 + 5,000) ÷ 2 = 4,500. Compare 4,381 to 4,500.
   Full step-by-step solution

   Step 1: Identify the two thousands 4,381 is between: 4,000 and 5,000. Step 2: Find the halfway point between 4,000 and 5,000: (4,000 + 5,000) ÷ 2 = 4,500. Step 3: Compare 4,381 to 4,500. Since 4,381 is less than 4,500, it is closer to 4,000. Step 4: Alternatively, look at the hundreds digit: 4,381 has a hundreds digit of 3, which is less than 5, so round down to 4,000. The answer is 4,000.