Place Value to Millions

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Place Value to Millions · Grade 4 · Worksheet 1

1. Hana is helping her school's library organize the book collection. The library has 4,208,654 books in the main collection and 1,794,328 books in the children's section. What is the total number of books in the library? Answer: 6002982 Solution: 4,208,654 + 1,794,328 Add the ones column: 4 + 8 = 12 (write 2, carry 1) Add the tens column: 5 + 2 + 1 (carry) = 8 Add the hundreds column: 6 + 3 = 9 Add the thousands column: 8 + 4 = 12 (write 2, carry 1) Add the ten thousands column: 0 + 9 + 1 (carry) = 10 (write 0, carry 1) Add the hundred…
   Full step-by-step solution

   Step 1: Write the numbers aligned by place value: 4,208,654 + 1,794,328 Step 2: Add the ones column: 4 + 8 = 12 (write 2, carry 1) Step 3: Add the tens column: 5 + 2 + 1 (carry) = 8 Step 4: Add the hundreds column: 6 + 3 = 9 Step 5: Add the thousands column: 8 + 4 = 12 (write 2, carry 1) Step 6: Add the ten thousands column: 0 + 9 + 1 (carry) = 10 (write 0, carry 1) Step 7: Add the hundred thousands column: 2 + 7 + 1 (carry) = 10 (write 0, carry 1) Step 8: Add the millions column: 4 + 1 + 1 (carry) = 6 The total is 6,002,982 books. The answer is 6002982.

2. 7,205,834 × 10 = ? Answer: 72,058,340 Solution: Start with 7,205,834. Multiplying by 10 means each digit moves one place to the left in the place value chart. The 7 in the millions place becomes 7 in the ten-millions place.
   Full step-by-step solution

   Step 1: Start with 7,205,834. Step 2: Multiplying by 10 means each digit moves one place to the left in the place value chart. Step 3: The 7 in the millions place becomes 7 in the ten-millions place. Step 4: The 2 in the hundred-thousands place becomes 2 in the millions place. Step 5: The 0 in the ten-thousands place becomes 0 in the hundred-thousands place. Step 6: The 5 in the thousands place becomes 5 in the ten-thousands place. Step 7: The 8 in the hundreds place becomes 8 in the thousands place. Step 8: The 3 in the tens place becomes 3 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: So, 7,205,834 × 10 = 72,058,340. The answer is 72,058,340.

3. A factory produced 7,285,416 widgets last year. What is the value of the digit 2 in this number? Answer: 200000 Solution: Write out the number: 7,285,416 - 7 is in the millions place (7,000,000) - 2 is in the hundred thousands place (200,000) - 8 is in the ten thousands place (80,000) - 5 is in the thousands place (5,000) - 4 is in the hundreds place (400) - 1 is in the tens place (10) - 6 is in the ones place (6)…
   Full step-by-step solution

   Step 1: Write out the number: 7,285,416 Step 2: Identify the place values from left to right: - 7 is in the millions place (7,000,000) - 2 is in the hundred thousands place (200,000) - 8 is in the ten thousands place (80,000) - 5 is in the thousands place (5,000) - 4 is in the hundreds place (400) - 1 is in the tens place (10) - 6 is in the ones place (6) Step 3: The digit 2 is in the hundred thousands place Step 4: The value of the digit 2 is 2 × 100,000 = 200,000 The answer is 200000.

4. 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

5. Isabella is helping her school organize a fundraising walkathon. The school collected pledges totaling $2,347,582. The money is to be split equally among three charities. What is the value of the digit 7 in the total amount of pledges? Answer: 7,000 Solution: Write the number: 2,347,582 Identify the place value of each digit from right to left: - 2 is in the ones place - 8 is in the tens place - 5 is in the hundreds place - 7 is in the thousands place - 4 is in the ten thousands place - 3 is in the hundred thousands place - 2 is in the millions place…
   Full step-by-step solution

   Step 1: Write the number: 2,347,582 Step 2: Identify the place value of each digit from right to left: - 2 is in the ones place - 8 is in the tens place - 5 is in the hundreds place - 7 is in the thousands place - 4 is in the ten thousands place - 3 is in the hundred thousands place - 2 is in the millions place Step 3: The digit 7 is in the thousands place. Step 4: The value of the digit 7 in the thousands place is 7 × 1,000 = 7,000. The answer is 7,000.

6. Aroha is helping her school's library organize its collection. They have 1,382,594 books in the main library and 876,243 books in the primary school library. What is the total number of books in both libraries? Answer: 2258837 Solution: 1,382,594 + 876,243 Add the ones column: 4 + 3 = 7 Add the tens column: 9 + 4 = 13 (write 3, carry 1) Add the hundreds column: 5 + 2 + 1 (carry) = 8 Add the thousands column: 2 + 6 = 8 Add the ten thousands column: 8 + 7 = 15 (write 5, carry 1) Add the hundred thousands column: 3 + 8 + 1…
   Full step-by-step solution

   Step 1: Write the numbers aligned by place value: 1,382,594 + 876,243 Step 2: Add the ones column: 4 + 3 = 7 Step 3: Add the tens column: 9 + 4 = 13 (write 3, carry 1) Step 4: Add the hundreds column: 5 + 2 + 1 (carry) = 8 Step 5: Add the thousands column: 2 + 6 = 8 Step 6: Add the ten thousands column: 8 + 7 = 15 (write 5, carry 1) Step 7: Add the hundred thousands column: 3 + 8 + 1 (carry) = 12 (write 2, carry 1) Step 8: Add the millions column: 1 + 0 + 1 (carry) = 2 Step 9: The total is 2,258,837 books. The answer is 2258837.

7. The city library is organizing its book collection. They have 3,456,789 fiction books, 1,234,567 non-fiction books, and 987,654 reference books. How many total books does the library have in its collection? Answer: 5,679,010 Solution: Write down the numbers aligned by place value for clarity in your mind. Fiction books: 3,456,789 Non-fiction books: 1,234,567 Reference books: 987,654 Add the ones column (rightmost digits).
   Full step-by-step solution

   Let's add the total number of books step by step. Step 1: Write down the numbers aligned by place value for clarity in your mind. Fiction books: 3,456,789 Non-fiction books: 1,234,567 Reference books: 987,654 Step 2: Add the ones column (rightmost digits). 9 + 7 + 4 = 20 Write down 0 in the ones place, carry over 2 to the tens column. Step 3: Add the tens column (second from right). 8 + 6 + 5 = 19, plus the carry 2 = 21 Write down 1 in the tens place, carry over 2 to the hundreds column. Step 4: Add the hundreds column. 7 + 5 + 6 = 18, plus the carry 2 = 20 Write down 0 in the hundreds place, carry over 2 to the thousands column. Step 5: Add the thousands column. 6 + 4 + 7 = 17, plus the carry 2 = 19 Write down 9 in the thousands place, carry over 1 to the ten-thousands column. Step 6: Add the ten-thousands column. 5 + 3 + 8 = 16, plus the carry 1 = 17 Write down 7 in the ten-thousands place, carry over 1 to the hundred-thousands column. Step 7: Add the hundred-thousands column. 4 + 2 + 9 = 15, plus the carry 1 = 16 Write down 6 in the hundred-thousands place, carry over 1 to the millions column. Step 8: Add the millions column. 3 + 1 + 0 = 4, plus the carry 1 = 5 Write down 5 in the millions place. Step 9: Combine the digits from left to right: Millions: 5 Hundred-thousands: 6 Ten-thousands: 7 Thousands: 9 Hundreds: 0 Tens: 1 Ones: 0 So the total is 5,679,010. Final check: 3,456,789 + 1,234,567 = 4,691,356 4,691,356 + 987,654 = 5,679,010 Answer: 5,679,010

8. The population of Maple Creek is 1,247,893 people. The population of Oak Valley is 985,426 people. How many more people live in Maple Creek than in Oak Valley? Answer: 262467 Solution: We are finding how many more people live in Maple Creek than in Oak Valley. This means we subtract the population of Oak Valley from the population of Maple Creek. Write the numbers aligned by place value in your mind or on paper: Maple Creek: 1,247,893 Oak Valley: 985,426 Subtract starting…
   Full step-by-step solution

   We are finding how many more people live in Maple Creek than in Oak Valley. This means we subtract the population of Oak Valley from the population of Maple Creek. Step 1: Write the numbers aligned by place value in your mind or on paper: Maple Creek: 1,247,893 Oak Valley: 985,426 Step 2: Subtract starting from the rightmost digits (ones place). Ones column: 3 − 6 — we can’t do this directly, so we borrow from the tens place. Tens digit in Maple Creek is 9; borrow 1 ten → 9 becomes 8, and 3 ones becomes 13 ones. 13 − 6 = 7. Step 3: Tens column: Now tens digit is 8 (after borrowing) − 2 = 6. Step 4: Hundreds column: 8 − 4 = 4. Step 5: Thousands column: 7 − 5 = 2. Step 6: Ten thousands column: 4 − 8 — can’t do directly, borrow from hundred thousands place. Hundred thousands digit is 2; borrow 1 → 2 becomes 1, and 4 becomes 14. 14 − 8 = 6. Step 7: Hundred thousands column: Now it’s 1 (after borrowing) − 9 — can’t do, borrow from millions place. Millions digit is 1; borrow 1 → 1 becomes 0, and 1 hundred thousands becomes 11 hundred thousands. 11 − 9 = 2. Step 8: Millions column: 0 (after borrowing) − 0 = 0, so no digit in millions place in the answer. So the result is 262,467. Final check: 1,247,893 − 985,426 = 262,467. Thus, Maple Creek has 262,467 more people than Oak Valley.

9. 4,327,156 - 1,892,074 = ? Answer: 2,435,082 Solution: 4,327,156 - 1,892,074 Write the numbers aligned by place value. 4 3 2 7 1 5 6 - 1 8 9 2 0 7 4 Subtract the ones column (6 - 4). 6 - 4 = 2 Write 2 in the ones place of the answer.
   Full step-by-step solution

   Let's subtract step by step, starting from the rightmost digits and moving left. We are subtracting: 4,327,156 - 1,892,074 ------------ Step 1: Write the numbers aligned by place value. 4 3 2 7 1 5 6 - 1 8 9 2 0 7 4 ----------------------------- Step 2: Subtract the ones column (6 - 4). 6 - 4 = 2 Write 2 in the ones place of the answer. Step 3: Subtract the tens column (5 - 7). Since 5 is smaller than 7, we borrow 1 from the hundreds column. The hundreds digit is 1, so we borrow from it: 1 becomes 0, and 5 becomes 15 (in tens). Now: 15 - 7 = 8 Write 8 in the tens place of the answer. Step 4: Subtract the hundreds column. We had 1 (hundreds digit), but we borrowed 1 for the tens, so now it's 0. We need to do 0 - 0 (from 1,892,074's hundreds digit is 0). 0 - 0 = 0 Write 0 in the hundreds place. Step 5: Subtract the thousands column (7 - 2). 7 - 2 = 5 Write 5 in the thousands place. Step 6: Subtract the ten-thousands column (2 - 9). 2 is smaller than 9, so borrow from the hundred-thousands column. Hundred-thousands digit is 3. Borrow 1 from 3: 3 becomes 2, and 2 becomes 12 (in ten-thousands). Now: 12 - 9 = 3 Write 3 in the ten-thousands place. Step 7: Subtract the hundred-thousands column. We had 3, but we borrowed 1, so now it's 2. We need to do 2 - 8. 2 is smaller than 8, so borrow from the millions column. Millions digit is 4. Borrow 1 from 4: 4 becomes 3, and 2 becomes 12 (in hundred-thousands). Now: 12 - 8 = 4 Write 4 in the hundred-thousands place. Step 8: Subtract the millions column. We had 4, but we borrowed 1, so now it's 3. 3 - 1 = 2 Write 2 in the millions place. Step 9: Combine the digits: millions: 2, hundred-thousands: 4, ten-thousands: 3, thousands: 5, hundreds: 0, tens: 8, ones: 2. So the final answer is 2,435,082. Check: We can verify by adding: 1,892,074 + 2,435,082 = 4,327,156, which matches the original number. ANSWER: 2,435,082