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. Which is greater: 7,843 or 7,834? Answer: C. 7,843 Solution: Compare the thousands place: Both numbers have 7 thousands (7,000). They are equal so far. Compare the hundreds place: Both numbers have 8 hundreds (800).
   Full step-by-step solution

   Step 1: Compare the thousands place: Both numbers have 7 thousands (7,000). They are equal so far. Step 2: Compare the hundreds place: Both numbers have 8 hundreds (800). They are still equal. Step 3: Compare the tens place: The first number has 4 tens (40) and the second number has 3 tens (30). Since 40 is greater than 30, the first number (7,843) is greater than the second number (7,834). The correct answer is 7,843.

4. Emma is comparing two different fundraising goals for her school's charity drive. The 4th grade class has raised $2,475 so far, while the 5th grade class has raised $2,547. Which class has raised more money for the charity? Answer: 5th grade Solution: To compare multi-digit numbers, start by comparing the digits in the highest place value position. If they're the same, move to the next digit to the right until you find a difference.
   Full step-by-step solution

   To compare multi-digit numbers, start by comparing the digits in the highest place value position. If they're the same, move to the next digit to the right until you find a difference. This helps determine which number represents a larger quantity.

5. Matiu is comparing the populations of two towns for his geography project. The population of Town A is 14,289 people, and the population of Town B is 14,298 people. Which town has a larger population? Answer: Town B Solution: Write the two numbers aligned by place value: 14,289 and 14,298. Compare the ten-thousands place: both have 1 (same). Compare the thousands place: both have 4 (same).
   Full step-by-step solution

   Step 1: Write the two numbers aligned by place value: 14,289 and 14,298. Step 2: Compare the ten-thousands place: both have 1 (same). Step 3: Compare the thousands place: both have 4 (same). Step 4: Compare the hundreds place: both have 2 (same). Step 5: Compare the tens place: Town A has 8, Town B has 9. Since 8 < 9, Town B's number is greater. Step 6: Therefore, 14,298 > 14,289, so Town B has the larger population. The answer is Town B.

6. Mason is comparing the distances of two rivers in his state. The Blue River is 125,683 feet long, and the Green River is 125,638 feet long. Which river is longer? Answer: Blue River Solution: Write the two numbers: 125,683 and 125,638. Both numbers have 6 digits, so start comparing from the hundred-thousands place. Hundred-thousands place: both have 1, so they are equal.
   Full step-by-step solution

   Step 1: Write the two numbers: 125,683 and 125,638. Step 2: Both numbers have 6 digits, so start comparing from the hundred-thousands place. Step 3: Hundred-thousands place: both have 1, so they are equal. Step 4: Ten-thousands place: both have 2, so they are equal. Step 5: Thousands place: both have 5, so they are equal. Step 6: Hundreds place: both have 6, so they are equal. Step 7: Tens place: Blue River has 8, Green River has 3. Since 8 > 3, 125,683 is greater than 125,638. Step 8: Therefore, the Blue River is longer. Final answer: Blue River

7. Emma is comparing the number of pages in two books for her reading challenge. The first book has 482,605 pages, and the second book has 482,650 pages. Which book has more pages? Answer: the second book Solution: Write the two numbers: 482,605 and 482,650. Both numbers have 6 digits, so we compare from the hundred-thousands place. Hundred-thousands place: both have 4, so they are equal.
   Full step-by-step solution

   Step 1: Write the two numbers: 482,605 and 482,650. Step 2: Both numbers have 6 digits, so we compare from the hundred-thousands place. Step 3: Hundred-thousands place: both have 4, so they are equal. Step 4: Ten-thousands place: both have 8, so they are equal. Step 5: Thousands place: both have 2, so they are equal. Step 6: Hundreds place: both have 6, so they are equal. Step 7: Tens place: the first book has 0, the second book has 5. Since 0 < 5, 482,605 < 482,650. Step 8: Therefore, the second book has more pages. Final answer: the second book

8. Charlotte is comparing the number of bricks used to build two different walls at a construction site. The first wall used 2,837,462 bricks, and the second wall used 2,837,627 bricks. Which wall used more bricks? Answer: the second wall Solution: Write the two numbers: 2,837,462 and 2,837,627. Both numbers have 7 digits. Compare the millions place: both have 2, so they are equal.
   Full step-by-step solution

   Step 1: Write the two numbers: 2,837,462 and 2,837,627. Both numbers have 7 digits. Step 2: Compare the millions place: both have 2, so they are equal. Step 3: Compare the hundred-thousands place: both have 8, so they are equal. Step 4: Compare the ten-thousands place: both have 3, so they are equal. Step 5: Compare the thousands place: both have 7, so they are equal. Step 6: Compare the hundreds place: first wall has 4, second wall has 6. Since 4 is less than 6, 2,837,462 is less than 2,837,627. Step 7: Therefore, the second wall used more bricks. Final answer: the second wall

9. Olivia is comparing the number of books in two school libraries. The Eastwood School library has 3,571,849 books, and the Westwood School library has 3,517,849 books. Which school library has more books? Answer: Eastwood School Solution: Write the two numbers: 3,571,849 and 3,517,849. Both numbers have 7 digits. Start comparing from the leftmost digit (millions place).
   Full step-by-step solution

   Step 1: Write the two numbers: 3,571,849 and 3,517,849. Both numbers have 7 digits. Step 2: Start comparing from the leftmost digit (millions place). Both have 3, so they are equal. Step 3: Move to the hundred-thousands place. Eastwood has 5, Westwood has 5. They are equal. Step 4: Move to the ten-thousands place. Eastwood has 7, Westwood has 1. Since 7 is greater than 1, 3,571,849 is greater than 3,517,849. Step 5: Therefore, Eastwood School library has more books. Final answer: Eastwood School