Compare Multi-Digit

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Answer Key & Explanations

Compare Multi-Digit · Grade 4 · Worksheet 1

1. Hana is comparing the number of seeds in two different seed packets for her school's gardening project. The sunflower packet has 342,168 seeds, and the pumpkin packet has 342,186 seeds. Which packet has more seeds? Answer: pumpkin packet Solution: Write the two numbers: 342,168 and 342,186. Both numbers have 6 digits. Start comparing from the hundred-thousands place (leftmost digit).
   Full step-by-step solution

   Step 1: Write the two numbers: 342,168 and 342,186. Both numbers have 6 digits. Step 2: Start comparing from the hundred-thousands place (leftmost digit). Step 3: Hundred-thousands place: both have 3, so they are equal. Step 4: Ten-thousands place: both have 4, so they are equal. Step 5: Thousands place: both have 2, so they are equal. Step 6: Hundreds place: both have 1, so they are equal. Step 7: Tens place: sunflower packet has 6, pumpkin packet has 8. Since 6 is less than 8, 342,168 is less than 342,186. Step 8: Therefore, the pumpkin packet has more seeds. Final answer: pumpkin packet

2. 4,567 > 4,576 ? Answer: A. false Solution: Write the numbers aligned by place value for easy comparison. 4,567 4,576 Compare digits from left to right. - Thousands place: both have 4 → equal.
   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. 4,567 4,576 Step 2: Compare digits from left to right. - Thousands place: both have 4 → equal. - Hundreds place: both have 5 → equal. - Tens place: first number has 6, second number has 7. Step 3: Since 6 is less than 7 in the tens place, the number 4,567 is less than 4,576. Step 4: The statement says: 4,567 > 4,576 That means "4,567 is greater than 4,576" — but we found 4,567 is less than 4,576. Step 5: Therefore, the statement is false. Final answer: false

3. Kaia is reading two books for her school's reading challenge. The first book has 8,137 pages and the second book has 8,173 pages. Which book has more pages? Answer: the second book Solution: Write the two numbers: 8,137 and 8,173. Both numbers have 4 digits, so we compare from the thousands place. Thousands place: both have 8, so they are equal.
   Full step-by-step solution

   Step 1: Write the two numbers: 8,137 and 8,173. Step 2: Both numbers have 4 digits, so we compare from the thousands place. Step 3: Thousands place: both have 8, so they are equal. Step 4: Hundreds place: both have 1, so they are still equal. Step 5: Tens place: first book has 3, second book has 7. Step 6: Since 3 < 7, the second book (8,173) has more pages. Final answer: the second book

4. A factory produced 3,458 toy cars on Monday and 3,548 toy cars on Tuesday. Which day did the factory produce more toy cars? Answer: B. Tuesday Solution: Compare the thousands place: Both numbers have 3 in the thousands place Compare the hundreds place: Monday has 4 hundreds, Tuesday has 5 hundreds Since 5 is greater than 4, 3,548 is greater than 3,458 Therefore, Tuesday produced more toy cars than Monday The correct answer is Tuesday.
   Full step-by-step solution

   Step 1: Compare the thousands place: Both numbers have 3 in the thousands place Step 2: Compare the hundreds place: Monday has 4 hundreds, Tuesday has 5 hundreds Step 3: Since 5 is greater than 4, 3,548 is greater than 3,458 Step 4: Therefore, Tuesday produced more toy cars than Monday The correct answer is Tuesday.

5. 4,321 > 4,123 ? Answer: A. true Solution: Write the numbers aligned by place value for easier comparison. 4,321 4,123 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 easier comparison. 4,321 4,123 Step 2: Compare digits from left to right. - Both numbers have the same thousands digit: 4 = 4. So we move to the next digit. - Next digit is hundreds place: 4,321 has 3 in the hundreds place. 4,123 has 1 in the hundreds place. Compare: 3 > 1. Step 3: Since 3 > 1 in the hundreds place, we already know that 4,321 is greater than 4,123. We don't need to check the tens or ones digits because the hundreds place decides it. Step 4: Conclusion 4,321 > 4,123 is true. Final answer: true

6. Emma is comparing two different fundraising totals for her school's charity drive. The 4th grade class raised $1,567 and the 5th grade class raised $1,576. Which grade raised more money for the charity? Answer: 5th grade Solution: To compare multi-digit numbers, we examine the digits from left to right. Start with the thousands place, then hundreds, then tens, and finally ones.
   Full step-by-step solution

   To compare multi-digit numbers, we examine the digits from left to right. Start with the thousands place, then hundreds, then tens, and finally ones. The first place where the digits differ tells us which number is larger.

7. Charlotte is comparing the distances of two hiking trails in a national park. The Eagle Trail is 23,947 feet long, and the Bear Trail is 23,794 feet long. Which trail is longer? Answer: Eagle Trail Solution: Write both numbers: 23,947 and 23,794. Step 2: Compare the ten-thousands place: both have 2. Step 3: Compare the thousands place: both have 3.
   Full step-by-step solution

   Step 1: Write both numbers: 23,947 and 23,794. Step 2: Compare the ten-thousands place: both have 2. Step 3: Compare the thousands place: both have 3. Step 4: Compare the hundreds place: 9 (Eagle) vs. 7 (Bear). Since 9 is greater than 7, 23,947 is greater than 23,794. Step 5: Therefore, the Eagle Trail is longer. The answer is Eagle Trail.

8. Charlotte is comparing the number of tickets sold at two movie theaters on opening weekend. The Grand Theater sold 5,732,947 tickets, and the Star Theater sold 5,723,947 tickets. Which theater sold more tickets? Answer: Grand Theater Solution: Write the two numbers: 5,732,947 and 5,723,947. Both numbers have 7 digits. Start comparing from the leftmost digit (millions place).
   Full step-by-step solution

   Step 1: Write the two numbers: 5,732,947 and 5,723,947. Both numbers have 7 digits. Step 2: Start comparing from the leftmost digit (millions place). Both have 5, so they are equal. Step 3: Move to the hundred-thousands place. Grand Theater has 7, Star Theater has 7. They are equal. Step 4: Move to the ten-thousands place. Grand Theater has 3, Star Theater has 2. Since 3 is greater than 2, 5,732,947 is greater than 5,723,947. Step 5: Therefore, the Grand Theater sold more tickets. Final answer: Grand Theater

9. Mere is comparing the populations of two towns for a geography project. The population of Oakdale is 23,941, and the population of Riverton is 23,914. Which town has a greater population? Answer: Oakdale Solution: Write the two numbers: 23,941 and 23,914. Compare the ten-thousands place: both have 2, so they are equal. Compare the thousands place: both have 3, so they are equal.
   Full step-by-step solution

   Step 1: Write the two numbers: 23,941 and 23,914. Step 2: Compare the ten-thousands place: both have 2, so they are equal. Step 3: Compare the thousands place: both have 3, so they are equal. Step 4: Compare the hundreds place: both have 9, so they are equal. Step 5: Compare the tens place: Oakdale has 4, Riverton has 1. Since 4 is greater than 1, Oakdale's population is larger. The answer is Oakdale.