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Compare Multi-Digit

Grade 4 · Mathematics · Worksheet 3

  1. A rectangular garden is drawn with a length of 24 meters and a width of 18 meters. A circular fountain with a diameter of 6 meters is placed in the center of the garden. What is the area of the garden that is NOT covered by the fountain? (Use π = 3.14)
    • A. 432.00 m²
    • B. 379.74 m²
    • C. 378.26 m²
    • D. 395.64 m²
  2. 4,321 > 4,231 ?
    • A. false
    • B. true
  3. Which is greater: 1492 or 6894? Answer: ______________
  4. Isabella is comparing the populations of two cities for her geography project. The population of Greenfield is 567,892, and the population of Brookside is 567,928. Which city has a larger population? Answer: ______________
  5. Compare: 3,458 ___ 3,485
    • A. <
    • B. =
    • C. Not comparable
    • D. >
  6. 4,321 > 4,123 = ?
    • A. true
    • B. false
  7. Liam is comparing the number of visitors to two different zoos over a weekend. The City Zoo had 1,230,450 visitors, and the Safari Zoo had 1,203,540 visitors. Which zoo had more visitors? Answer: ______________
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Answer Key & Explanations

Compare Multi-Digit · Grade 4 · Worksheet 3

  1. A rectangular garden is drawn with a length of 24 meters and a width of 18 meters. A circular fountain with a diameter of 6 meters is placed in the center of the garden. What is the area of the garden that is NOT covered by the fountain? (Use π = 3.14) Answer: B. 379.74 m² Solution: Area of rectangle = length × width = 24 m × 18 m = 432 m² Radius = diameter ÷ 2 = 6 m ÷ 2 = 3 m Area of circle = π × radius² = 3.14 × (3 m)² = 3.14 × 9 m² = 28.26 m² Area not covered = area of rectangle - area of circle = 432 m² - 28.26 m² = 379.74 m² The correct answer is 379.74 m².
    Full step-by-step solution

    Step 1: Calculate the area of the rectangular garden Area of rectangle = length × width = 24 m × 18 m = 432 m² Step 2: Calculate the radius of the circular fountain Radius = diameter ÷ 2 = 6 m ÷ 2 = 3 m Step 3: Calculate the area of the circular fountain Area of circle = π × radius² = 3.14 × (3 m)² = 3.14 × 9 m² = 28.26 m² Step 4: Calculate the area NOT covered by the fountain Area not covered = area of rectangle - area of circle = 432 m² - 28.26 m² = 379.74 m² The correct answer is 379.74 m².

  2. 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.

  3. 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.

  4. Isabella is comparing the populations of two cities for her geography project. The population of Greenfield is 567,892, and the population of Brookside is 567,928. Which city has a larger population? Answer: Brookside Solution: Write the two numbers: 567,892 and 567,928. Both numbers have 6 digits, so we compare from the hundred-thousands place. Hundred-thousands place: both have 5, so they are equal.
    Full step-by-step solution

    Step 1: Write the two numbers: 567,892 and 567,928. Step 2: Both numbers have 6 digits, so we compare from the hundred-thousands place. Step 3: Hundred-thousands place: both have 5, so they are equal. Step 4: Ten-thousands place: both have 6, so they are equal. Step 5: Thousands place: both have 7, so they are equal. Step 6: Hundreds place: both have 8, so they are equal. Step 7: Tens place: Greenfield has 9, Brookside has 2. Since 9 > 2, it might seem Greenfield is larger, but wait—we must compare the next place because tens place is smaller than hundreds? Actually, we compare the tens place: 9 vs. 2. But wait, that's wrong—we need to compare the hundreds place correctly: hundreds place is 8 in both, so we go to tens place: Greenfield has 9, Brookside has 2. Since 9 > 2, 567,892 would be larger, but let's recheck: 567,892 vs. 567,928. Actually, the tens place: Greenfield has 9 (meaning 90), Brookside has 2 (meaning 20), so 90 > 20, so 567,892 > 567,928? No, wait—567,928 has a larger ones place? Let's compare carefully: 567,892 vs. 567,928. The hundreds place: 8 = 8. Tens place: 9 vs. 2? No, 567,892: digits are 5-6-7-8-9-2. 567,928: digits are 5-6-7-9-2-8. So thousands place: 7 = 7. Hundreds place: 8 vs. 9. 8 < 9, so 567,892 is less than 567,928. Correct comparison: Step 1: 567,892 and 567,928. Step 2: Hundred-thousands: 5=5. Step 3: Ten-thousands: 6=6. Step 4: Thousands: 7=7. Step 5: Hundreds: 8 vs. 9. Since 8 < 9, 567,892 < 567,928. Therefore, Brookside has a larger population. The answer is Brookside.

  5. Compare: 3,458 ___ 3,485 Answer: A. < Solution: Compare the thousands place: Both numbers have 3 thousands, so move to the next digit. Compare the hundreds place: Both numbers have 4 hundreds, so move to the next digit.
    Full step-by-step solution

    Step 1: Compare the thousands place: Both numbers have 3 thousands, so move to the next digit. Step 2: Compare the hundreds place: Both numbers have 4 hundreds, so move to the next digit. Step 3: Compare the tens place: 3,458 has 5 tens and 3,485 has 8 tens. Since 5 < 8, we know 3,458 < 3,485. Step 4: Therefore, the correct comparison symbol is <. The correct answer is <.

  6. 4,321 > 4,123 = ? Answer: A. true Solution: Compare the thousands place. Both numbers have 4 in the thousands place. 4,321 → thousands digit = 4 4,123 → thousands digit = 4 So far, they are equal.
    Full step-by-step solution

    Let's compare the two numbers step by step. Step 1: Compare the thousands place. Both numbers have 4 in the thousands place. 4,321 → thousands digit = 4 4,123 → thousands digit = 4 So far, they are equal. Step 2: Compare the hundreds place. 4,321 → hundreds digit = 3 4,123 → hundreds digit = 1 Since 3 > 1, the number 4,321 is greater than 4,123. Step 3: Conclusion. We don't need to check the tens or ones digits because the hundreds place already decides the comparison. Therefore, 4,321 > 4,123 is true.

  7. Liam is comparing the number of visitors to two different zoos over a weekend. The City Zoo had 1,230,450 visitors, and the Safari Zoo had 1,203,540 visitors. Which zoo had more visitors? Answer: City Zoo Solution: Write the two numbers: 1,230,450 and 1,203,540. Both numbers have 7 digits. Start comparing from the leftmost digit (millions place).
    Full step-by-step solution

    Step 1: Write the two numbers: 1,230,450 and 1,203,540. Both numbers have 7 digits. Step 2: Start comparing from the leftmost digit (millions place). Both have 1, so they are equal. Step 3: Move to the hundred-thousands place. City Zoo has 2, Safari Zoo has 2. They are equal. Step 4: Move to the ten-thousands place. City Zoo has 3, Safari Zoo has 0. Since 3 is greater than 0, 1,230,450 is greater than 1,203,540. Step 5: Therefore, the City Zoo had more visitors. Final answer: City Zoo