Place Value to Millions

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Place Value to Millions · Grade 4 · Worksheet 2

1. Kaia is helping her town's history museum organize its collection of artifacts. The museum has 3,572,941 artifacts in the main building and 1,247,583 artifacts in the storage facility. How many total artifacts does the museum have in its entire collection? Answer: 4,820,524 Solution: 3,572,941 + 1,247,583 Add the ones column: 1 + 3 = 4 Add the tens column: 4 + 8 = 12 (write 2, carry 1 to the hundreds column) Add the hundreds column: 9 + 5 + 1 (carry) = 15 (write 5, carry 1 to the thousands column) Add the thousands column: 2 + 7 + 1 (carry) = 10 (write 0, carry 1 to the ten…
   Full step-by-step solution

   Step 1: Write the numbers aligned by place value: 3,572,941 + 1,247,583 Step 2: Add the ones column: 1 + 3 = 4 Step 3: Add the tens column: 4 + 8 = 12 (write 2, carry 1 to the hundreds column) Step 4: Add the hundreds column: 9 + 5 + 1 (carry) = 15 (write 5, carry 1 to the thousands column) Step 5: Add the thousands column: 2 + 7 + 1 (carry) = 10 (write 0, carry 1 to the ten thousands column) Step 6: Add the ten thousands column: 7 + 4 + 1 (carry) = 12 (write 2, carry 1 to the hundred thousands column) Step 7: Add the hundred thousands column: 5 + 2 + 1 (carry) = 8 Step 8: Add the millions column: 3 + 1 = 4 Step 9: The total is 4,820,524 artifacts. The answer is 4,820,524.

2. A wildlife sanctuary is tracking animal populations. They counted 1,247,893 birds in the wetlands area and 985,426 birds in the forest area. How many more birds live in the wetlands than in the forest? Answer: 262,467 Solution: Identify the larger number: 1,247,893 (wetlands birds) Identify the smaller number: 985,426 (forest birds) Subtract the smaller number from the larger number: 1,247,893 - 985,426 1,247,893 - 985,426 Subtract ones place: 3 - 6 (need to borrow) Borrow from tens: 13 - 6 = 7 Subtract tens place:…
   Full step-by-step solution

   Step 1: Identify the larger number: 1,247,893 (wetlands birds) Step 2: Identify the smaller number: 985,426 (forest birds) Step 3: Subtract the smaller number from the larger number: 1,247,893 - 985,426 Step 4: Align the numbers by place value and subtract: 1,247,893 - 985,426 Step 5: Subtract ones place: 3 - 6 (need to borrow) Borrow from tens: 13 - 6 = 7 Step 6: Subtract tens place: 8 (after borrowing) - 2 = 6 Step 7: Subtract hundreds place: 7 - 4 = 3 Step 8: Subtract thousands place: 247 - 985 (need to borrow) Borrow from hundred thousands: 1,247 - 985 Step 9: 1,247 - 985 = 262 Step 10: The final answer is 262,467 There are 262,467 more birds in the wetlands than in the forest.

3. 4,862,000 ÷ 1,000 = ? Answer: 4,862 Solution: Start with 4,862,000. Dividing by 1,000 means each digit moves three places to the right in the place value chart. The 4 in the millions place becomes 4 in the thousands place.
   Full step-by-step solution

   Step 1: Start with 4,862,000. Step 2: Dividing by 1,000 means each digit moves three places to the right in the place value chart. Step 3: The 4 in the millions place becomes 4 in the thousands place. Step 4: The 8 in the hundred-thousands place becomes 8 in the hundreds place. Step 5: The 6 in the ten-thousands place becomes 6 in the tens place. Step 6: The 2 in the thousands place becomes 2 in the ones place. Step 7: The three zeros in the hundreds, tens, and ones places are removed. Step 8: The result is 4,862. The answer is 4,862.

4. 5,381,604 × 10 = ? Answer: 53,816,040 Solution: Start with 5,381,604. Multiplying by 10 means each digit moves one place to the left in the place value chart. The 5 in the millions place becomes 5 in the ten-millions place.
   Full step-by-step solution

   Step 1: Start with 5,381,604. Step 2: Multiplying by 10 means each digit moves one place to the left in the place value chart. Step 3: The 5 in the millions place becomes 5 in the ten-millions place. Step 4: The 3 in the hundred-thousands place becomes 3 in the millions place. Step 5: The 8 in the ten-thousands place becomes 8 in the hundred-thousands place. Step 6: The 1 in the thousands place becomes 1 in the ten-thousands place. Step 7: The 6 in the hundreds place becomes 6 in the thousands place. Step 8: The 0 in the tens place becomes 0 in the hundreds place. Step 9: The 4 in the ones place becomes 4 in the tens place. Step 10: A zero is added in the ones place. Step 11: The result is 53,816,040. The answer is 53,816,040.

5. The city library is tracking book circulation. In January, they loaned out 125,489 books. In February, they loaned out 98,763 books. How many more books were loaned out in January than in February? Answer: 26,726 Solution: To find how many more books were loaned out in January than in February, we subtract the number of books loaned in February from the number loaned in January. Write down the numbers. January: 125,489 February: 98,763 We need to calculate: 125,489 - 98,763 Set up the subtraction vertically in…
   Full step-by-step solution

   To find how many more books were loaned out in January than in February, we subtract the number of books loaned in February from the number loaned in January. Step 1: Write down the numbers. January: 125,489 February: 98,763 We need to calculate: 125,489 - 98,763 Step 2: Set up the subtraction vertically in your mind or on paper. 125489 - 98763 Step 3: Subtract the numbers column by column, starting from the rightmost units place. - Units column: 9 - 3 = 6. Write down 6. - Tens column: 8 - 6 = 2. Write down 2. - Hundreds column: 4 - 7. Since 4 is smaller than 7, we need to borrow. Look at the thousands column. The digit is 5. We borrow 1 from it. The 5 becomes 4, and the 4 in the hundreds place becomes 14. Now subtract: 14 - 7 = 7. Write down 7. - Thousands column: We now have 4 (after lending 1 to the hundreds column) - 8. Since 4 is smaller than 8, we need to borrow again. Look at the ten-thousands column. The digit is 2. We borrow 1 from it. The 2 becomes 1, and the 4 in the thousands place becomes 14. Now subtract: 14 - 8 = 6. Write down 6. - Ten-thousands column: We now have 1 (after lending 1 to the thousands column) - 9. Since 1 is smaller than 9, we need to borrow one final time. Look at the hundred-thousands column. The digit is 1. We borrow 1 from it. The 1 becomes 0, and the 1 in the ten-thousands place becomes 11. Now subtract: 11 - 9 = 2. Write down 2. - Hundred-thousands column: We have 0 (after lending) - 0 = 0. Since this is the leading digit, we do not write it. Step 4: Combine the results from each column. The result from the subtraction is 26,726. Step 5: Interpret the answer. This means 26,726 more books were loaned out in January than in February. Final Answer: 26,726

6. Emma is helping her town's library organize a donation drive. They received 3,175,380 books from a local publisher. Emma needs to write this number in expanded form to put on a poster. What is 3,175,380 written in expanded form? Answer: 3,000,000 + 100,000 + 70,000 + 5,000 + 300 + 80 Solution: Write the number: 3,175,380 - The digit 3 is in the millions place: 3,000,000 - The digit 1 is in the hundred thousands place: 100,000 - The digit 7 is in the ten thousands place: 70,000 - The digit 5 is in the thousands place: 5,000 - The digit 3 is in the hundreds place: 300 - The digit 8 is…
   Full step-by-step solution

   Step 1: Write the number: 3,175,380 Step 2: Identify the place value of each digit: - The digit 3 is in the millions place: 3,000,000 - The digit 1 is in the hundred thousands place: 100,000 - The digit 7 is in the ten thousands place: 70,000 - The digit 5 is in the thousands place: 5,000 - The digit 3 is in the hundreds place: 300 - The digit 8 is in the tens place: 80 - The digit 0 is in the ones place: 0 (we don't need to write it) Step 3: Add all the place values together: 3,000,000 + 100,000 + 70,000 + 5,000 + 300 + 80 The expanded form of 3,175,380 is 3,000,000 + 100,000 + 70,000 + 5,000 + 300 + 80.

7. 3,456,789 ÷ 1,000 = ? Answer: 3456.789 Solution: Understand what dividing by 1,000 means. Dividing by 1,000 is the same as moving the decimal point 3 places to the left. This is because 1,000 = 10^3, so we shift the decimal point 3 places left.
   Full step-by-step solution

   Let's solve 3,456,789 ÷ 1,000 step by step. Step 1: Understand what dividing by 1,000 means. Dividing by 1,000 is the same as moving the decimal point 3 places to the left. This is because 1,000 = 10^3, so we shift the decimal point 3 places left. Step 2: Locate the decimal point in the original number. 3,456,789 is the same as 3,456,789.0 (decimal point at the end). Step 3: Move the decimal point 3 places to the left. Start: 3,456,789.0 Move once: 345,678.90 Move twice: 34,567.890 Move three times: 3,456.7890 Step 4: Write the final number. After moving three places left, we get 3456.789 (trailing zero after 9 can be dropped). Step 5: Verify by multiplication. 3456.789 × 1000 = 3,456,789. This matches the original number, so the division is correct. ANSWER: 3456.789

8. Aroha is helping her school's library organize the book collection. The library has 3,579,421 fiction books, 1,247,583 non-fiction books, and 987,615 reference books. What is the total number of books in the school library? Answer: 5814619 Solution: 3,579,421 1,247,583 + 987,615 Add the ones column: 1 + 3 + 5 = 9 Add the tens column: 2 + 8 + 1 = 11 (write 1, carry 1 to the hundreds) Add the hundreds column: 4 + 5 + 6 + 1 (carry) = 16 (write 6, carry 1 to the thousands) Add the thousands column: 9 + 7 + 7 + 1 (carry) = 24 (write 4, carry 2…
   Full step-by-step solution

   Step 1: Write the numbers aligned by place value: 3,579,421 1,247,583 + 987,615 Step 2: Add the ones column: 1 + 3 + 5 = 9 Step 3: Add the tens column: 2 + 8 + 1 = 11 (write 1, carry 1 to the hundreds) Step 4: Add the hundreds column: 4 + 5 + 6 + 1 (carry) = 16 (write 6, carry 1 to the thousands) Step 5: Add the thousands column: 9 + 7 + 7 + 1 (carry) = 24 (write 4, carry 2 to the ten thousands) Step 6: Add the ten thousands column: 7 + 4 + 8 + 2 (carry) = 21 (write 1, carry 2 to the hundred thousands) Step 7: Add the hundred thousands column: 5 + 2 + 9 + 2 (carry) = 18 (write 8, carry 1 to the millions) Step 8: Add the millions column: 3 + 1 + 0 + 1 (carry) = 5 The total is 5,814,619 books. The answer is 5814619.

9. A company sold 4,785,932 items last year. What is the value of the digit 8 in this number? Answer: 80000 Solution: We have the number: 4,785,932 Write the number without commas to see each digit's place clearly. Number: 4785932 Identify the place value of each digit from left to right.
   Full step-by-step solution

   Let's break this down step by step. We have the number: 4,785,932 Step 1: Write the number without commas to see each digit's place clearly. Number: 4785932 Step 2: Identify the place value of each digit from left to right. For 4,785,932, the digits and their place values are: - 4 → Millions place → 4,000,000 - 7 → Hundred-thousands place → 700,000 - 8 → Ten-thousands place → 80,000 - 5 → Thousands place → 5,000 - 9 → Hundreds place → 900 - 3 → Tens place → 30 - 2 → Ones place → 2 Step 3: The problem asks for the value of the digit 8. From above, the digit 8 is in the ten-thousands place. Step 4: Value of the digit 8 = 8 × 10,000 = 80,000 Step 5: Final answer: The value of the digit 8 in 4,785,932 is 80,000. ANSWER: 80000