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Compare Multi-Digit

Grade 4 · Mathematics · Worksheet 2

  1. Compare: 7,892 ___ 7,829
    • A. =
    • B. >
    • C. Cannot be determined
    • D. <
  2. Aroha is collecting data on the number of books in two school libraries. The North School library has 135,729 books, and the South School library has 135,792 books. Which school library has more books? Answer: ______________
  3. Which is greater: 3,456 × 7 or 2,891 × 9?
    • A. 3,456 × 7
    • B. They are equal
    • C. 2,891 × 9
  4. 4,892 > 4,829 = ?
    • A. true
    • B. false
  5. A rectangular swimming pool is drawn with a length of 15 meters and a width of 8 meters. A square diving area is marked in one corner of the pool, with each side measuring 3 meters. What is the area of the pool that is NOT part of the diving area?
    Answer: ______________
  6. Which is greater: 1018 or 8752? Answer: ______________
  7. Which is greater: 2427 or 1613? Answer: ______________
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Answer Key & Explanations

Compare Multi-Digit · Grade 4 · Worksheet 2

  1. Compare: 7,892 ___ 7,829 Answer: B. > 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 >.

  2. Aroha is collecting data on the number of books in two school libraries. The North School library has 135,729 books, and the South School library has 135,792 books. Which school library has more books? Answer: South School Solution: Write the two numbers: 135,729 and 135,792. Compare the hundred-thousands place: both have 1, so they are equal. Compare the ten-thousands place: both have 3, so they are still equal.
    Full step-by-step solution

    Step 1: Write the two numbers: 135,729 and 135,792. Step 2: Compare the hundred-thousands place: both have 1, so they are equal. Step 3: Compare the ten-thousands place: both have 3, so they are still equal. Step 4: Compare the thousands place: both have 5, so they are still equal. Step 5: Compare the hundreds place: both have 7, so they are still equal. Step 6: Compare the tens place: North School has 2, South School has 9. Step 7: Since 2 is less than 9, 135,729 is less than 135,792. Step 8: Therefore, South School library has more books. Final answer: South School

  3. Which is greater: 3,456 × 7 or 2,891 × 9? Answer: C. 2,891 × 9 Solution: Calculate 3,456 × 7 = (3,000 × 7) + (400 × 7) + (50 × 7) + (6 × 7) = 21,000 + 2,800 + 350 + 42 = 23,800 + 350 + 42 = 24,150 + 42 = 24,192 Calculate 2,891 × 9 = (2,000 × 9) + (800 × 9) + (90 × 9) + (1 × 9) = 18,000 + 7,200 + 810 + 9 = 25,200 + 810 + 9 = 26,010 + 9 = 26,019 24,192 vs.
    Full step-by-step solution

    Step 1: Calculate 3,456 × 7 = (3,000 × 7) + (400 × 7) + (50 × 7) + (6 × 7) = 21,000 + 2,800 + 350 + 42 = 23,800 + 350 + 42 = 24,150 + 42 = 24,192 Step 2: Calculate 2,891 × 9 = (2,000 × 9) + (800 × 9) + (90 × 9) + (1 × 9) = 18,000 + 7,200 + 810 + 9 = 25,200 + 810 + 9 = 26,010 + 9 = 26,019 Step 3: Compare the results 24,192 vs. 26,019 26,019 > 24,192 Therefore, 2,891 × 9 is greater than 3,456 × 7.

  4. 4,892 > 4,829 = ? Answer: A. true Solution: Compare the thousands place: Both numbers have 4 thousands. (4 = 4) Compare the hundreds place: Both numbers have 8 hundreds. (8 = 8) Compare the tens place: The first number has 9 tens, and the second number has 2 tens.
    Full step-by-step solution

    Step 1: Compare the thousands place: Both numbers have 4 thousands. (4 = 4) Step 2: Compare the hundreds place: Both numbers have 8 hundreds. (8 = 8) Step 3: Compare the tens place: The first number has 9 tens, and the second number has 2 tens. (9 > 2) Step 4: Since 9 is greater than 2 in the tens place, the first number (4,892) is greater than the second number (4,829). The statement 4,892 > 4,829 is true.

  5. A rectangular swimming pool is drawn with a length of 15 meters and a width of 8 meters. A square diving area is marked in one corner of the pool, with each side measuring 3 meters. What is the area of the pool that is NOT part of the diving area? Answer: 111 Solution: Area of rectangle = length × width = 15 × 8 = 120 square meters Area of square = side × side = 3 × 3 = 9 square meters Area not part of diving area = 120 - 9 = 111 square meters The answer is 111.
    Full step-by-step solution

    Step 1: Find the area of the entire rectangular pool Area of rectangle = length × width = 15 × 8 = 120 square meters Step 2: Find the area of the square diving area Area of square = side × side = 3 × 3 = 9 square meters Step 3: Subtract the diving area from the total pool area Area not part of diving area = 120 - 9 = 111 square meters The answer is 111.

  6. Which is greater: 1018 or 8752? Answer: 8752 Solution: Compare the numbers: 1018 and 8752. 8752 is the larger number.
    Full step-by-step solution

    Step 1: Compare the numbers: 1018 and 8752. Step 2: 8752 is the larger number. The answer is 8752.

  7. Which is greater: 2427 or 1613? Answer: 2427 Solution: Compare the numbers: 2427 and 1613. 2427 is the larger number.
    Full step-by-step solution

    Step 1: Compare the numbers: 2427 and 1613. Step 2: 2427 is the larger number. The answer is 2427.