Compare Multi-Digit

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Answer Key & Explanations

Compare Multi-Digit · Grade 4 · Worksheet 2

1. 4,321 > 4,312 = ? Answer: A. true Solution: We have: 4,321 and 4,312 Compare the digits from left to right. Both numbers start with "4," so they are equal in the thousands place. Move to the hundreds place.
   Full step-by-step solution

   Let's compare the two numbers step by step. We have: 4,321 and 4,312 Step 1: Compare the digits from left to right. Both numbers start with "4," so they are equal in the thousands place. Step 2: Move to the hundreds place. Both numbers have "3" in the hundreds place, so they are still equal. Step 3: Move to the tens place. First number: tens digit = 2 Second number: tens digit = 1 Since 2 > 1, the first number is larger at this point. Step 4: Conclusion Because 4,321 has a larger tens digit than 4,312, we can stop here. 4,321 is greater than 4,312. Thus, the statement "4,321 > 4,312" is true.

2. Isabella is comparing the distances of two bike trails in her town for a family bike ride. The Lake Trail is 6,472 meters long, and the River Trail is 6,742 meters long. Which trail is longer? Answer: River Trail Solution: Write the two numbers: 6,472 and 6,742. Both numbers have 4 digits. Compare the thousands place: both have 6, so they are equal.
   Full step-by-step solution

   Step 1: Write the two numbers: 6,472 and 6,742. Both numbers have 4 digits. Step 2: Compare the thousands place: both have 6, so they are equal. Step 3: Compare the hundreds place: Lake Trail has 4, River Trail has 7. Since 4 < 7, 6,472 is less than 6,742. Step 4: Therefore, the River Trail is longer. Final answer: River Trail

3. 4,321 > 4,231 ? Answer: B. true Solution: Write the numbers aligned by place value for easy comparison. 4,321 4,231 Compare digits from left to right. Both numbers have the same thousands digit: 4 = 4.
   Full step-by-step solution

   Let's compare the two numbers step by step. Step 1: Write the numbers aligned by place value for easy comparison. 4,321 4,231 Step 2: Compare digits from left to right. Both numbers have the same thousands digit: 4 = 4. So we move to the next digit. Step 3: Compare the hundreds digit. First number: 3 Second number: 2 Since 3 > 2, the first number is already larger. Step 4: Conclusion. Because 3 hundreds is greater than 2 hundreds, 4,321 is greater than 4,231. Thus, the statement "4,321 > 4,231" is true.

4. Compare: 7,892 ___ 7,829 Answer: D. > Solution: Compare the thousands place: Both numbers have 7 thousands (7,000 = 7,000) Compare the hundreds place: Both numbers have 8 hundreds (800 = 800) Compare the tens place: First number has 9 tens (90), second number has 2 tens (20) Since 90 > 20, we don't need to compare the ones place Therefore,…
   Full step-by-step solution

   Step 1: Compare the thousands place: Both numbers have 7 thousands (7,000 = 7,000) Step 2: Compare the hundreds place: Both numbers have 8 hundreds (800 = 800) Step 3: Compare the tens place: First number has 9 tens (90), second number has 2 tens (20) Step 4: Since 90 > 20, we don't need to compare the ones place Step 5: Therefore, 7,892 > 7,829 The correct answer is >.

5. Noah is comparing the populations of two cities for a social studies project. City A has a population of 341,261 people, and City B has a population of 341,621 people. Which city has a larger population? Answer: City B Solution: Write the two numbers: 341,261 and 341,621. Both numbers have 6 digits, so we compare from the hundred-thousands place. Hundred-thousands place: both have 3, so they are equal.
   Full step-by-step solution

   Step 1: Write the two numbers: 341,261 and 341,621. Step 2: Both numbers have 6 digits, so we compare from the hundred-thousands place. Step 3: Hundred-thousands place: both have 3, so they are equal. Step 4: Ten-thousands place: both have 4, so they are still equal. Step 5: Thousands place: both have 1, so they are still equal. Step 6: Hundreds place: City A has 2, City B has 6. Step 7: Since 2 < 6, 341,261 < 341,621. Step 8: Therefore, City B has the larger population. Final answer: City B

6. Ava is comparing the number of visitors to two different water parks last summer. Splash World had 5,672,861 visitors, and Wave Paradise had 5,672,816 visitors. Which water park had more visitors? Answer: Splash World Solution: Write the two numbers: 5,672,861 and 5,672,816. Both numbers have 7 digits. Compare the millions place: both have 5, so they are equal.
   Full step-by-step solution

   Step 1: Write the two numbers: 5,672,861 and 5,672,816. Both numbers have 7 digits. Step 2: Compare the millions place: both have 5, so they are equal. Step 3: Compare the hundred-thousands place: both have 6, so they are equal. Step 4: Compare the ten-thousands place: both have 7, so they are equal. Step 5: Compare the thousands place: both have 2, so they are equal. Step 6: Compare the hundreds place: both have 8, so they are equal. Step 7: Compare the tens place: Splash World has 6, Wave Paradise has 1. Since 6 is greater than 1, 5,672,861 is greater than 5,672,816. Step 8: Therefore, Splash World had more visitors. Final answer: Splash World

7. Tane is comparing the number of stamps in two different collections for his hobby project. The first collection has 273,519 stamps, and the second collection has 273,591 stamps. Which collection has more stamps? Answer: second collection Solution: Write the two numbers: 273,519 and 273,591. Both numbers have 6 digits, so we compare from the hundred-thousands place. Hundred-thousands place: both have 2, so they are equal.
   Full step-by-step solution

   Step 1: Write the two numbers: 273,519 and 273,591. Step 2: Both numbers have 6 digits, so we compare from the hundred-thousands place. Step 3: Hundred-thousands place: both have 2, so they are equal. Step 4: Ten-thousands place: both have 7, so they are equal. Step 5: Thousands place: both have 3, so they are equal. Step 6: Hundreds place: both have 5, so they are equal. Step 7: Tens place: first collection has 1, second collection has 9. Since 1 < 9, 273,519 is less than 273,591. Step 8: Therefore, the second collection has more stamps. Final answer: second collection

8. Which is greater: 6449 or 6766? Answer: 6766 Solution: Compare the numbers: 6449 and 6766. 6766 is the larger number.
   Full step-by-step solution

   Step 1: Compare the numbers: 6449 and 6766. Step 2: 6766 is the larger number. The answer is 6766.

9. Which is greater: 1492 or 6894? Answer: 6894 Solution: Compare the numbers: 1492 and 6894. 6894 is the larger number.
   Full step-by-step solution

   Step 1: Compare the numbers: 1492 and 6894. Step 2: 6894 is the larger number. The answer is 6894.