Place Value to Millions

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Place Value to Millions · Grade 4 · Worksheet 1

1. Tane is helping his school's library organize their book collection. The library has 1,382,594 fiction books and 876,243 non-fiction books. What is the total number of books in the library's collection? 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.

2. Emma is a fourth-grade student working on a school project about the largest lakes in the world. She reads that Lake Superior has a surface area of 3,175,381 square kilometers. In her report, she needs to write the digit that is in the hundred-thousands place and explain its value. What is the value of the digit in the hundred-thousands place in 3,175,381? Answer: 100,000 Solution: Write the number: 3,175,381 - 3 is in the millions place (3,000,000) - 1 is in the hundred-thousands place - 7 is in the ten-thousands place - 5 is in the thousands place - 3 is in the hundreds place - 8 is in the tens place - 1 is in the ones place The digit in the hundred-thousands place is 1.
   Full step-by-step solution

   Step 1: Write the number: 3,175,381 Step 2: Identify the place values from left to right: - 3 is in the millions place (3,000,000) - 1 is in the hundred-thousands place - 7 is in the ten-thousands place - 5 is in the thousands place - 3 is in the hundreds place - 8 is in the tens place - 1 is in the ones place Step 3: The digit in the hundred-thousands place is 1. Step 4: The value of that digit is 1 × 100,000 = 100,000. The answer is 100,000.

3. The city of Maple Creek is planning a new community garden. The garden will have three sections: a vegetable plot that covers 125,750 square feet, a flower garden that covers 89,425 square feet, and an herb garden that covers 47,825 square feet. What is the total area of the community garden in square feet? Answer: 263000 Solution: Write down all three areas: vegetable plot = 125,750 sq ft, flower garden = 89,425 sq ft, herb garden = 47,825 sq ft Add the vegetable plot and flower garden: 125,750 + 89,425 = 215,175 Add the herb garden to the result: 215,175 + 47,825 = 263,000 The total area of the community garden is…
   Full step-by-step solution

   Step 1: Write down all three areas: vegetable plot = 125,750 sq ft, flower garden = 89,425 sq ft, herb garden = 47,825 sq ft Step 2: Add the vegetable plot and flower garden: 125,750 + 89,425 = 215,175 Step 3: Add the herb garden to the result: 215,175 + 47,825 = 263,000 Step 4: The total area of the community garden is 263,000 square feet.

4. 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

5. 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.

6. Liam is helping his town's history museum prepare an exhibit. The museum has a collection of 3,571,829 old photographs in the main archive and 1,247,583 historical documents in the storage room. What is the total number of photographs and documents the museum has in its collection? Answer: 4819412 Solution: Write the numbers one above the other, aligning by place value: 3,571,829 + 1,247,583 Add the ones column: 9 + 3 = 12 (write 2, carry 1 to the tens column).
   Full step-by-step solution

   Step 1: Write the numbers one above the other, aligning by place value: 3,571,829 + 1,247,583 Step 2: Add the ones column: 9 + 3 = 12 (write 2, carry 1 to the tens column). Step 3: Add the tens column: 2 + 8 + 1 (carry) = 11 (write 1, carry 1 to the hundreds column). Step 4: Add the hundreds column: 8 + 5 + 1 (carry) = 14 (write 4, carry 1 to the thousands column). Step 5: Add the thousands column: 1 + 7 + 1 (carry) = 9 (write 9, no carry). Step 6: Add the ten thousands column: 7 + 4 = 11 (write 1, carry 1 to the hundred thousands column). Step 7: Add the hundred thousands column: 5 + 2 + 1 (carry) = 8 (write 8). Step 8: Add the millions column: 3 + 1 = 4 (write 4). Step 9: The total is 4,819,412. The answer is 4819412.

7. A rectangular swimming pool is drawn on a grid where each square represents 1 square meter. The pool measures 15 meters in length and 8 meters in width. A rectangular diving area is attached to one end of the pool, measuring 4 meters in length and 3 meters in width. What is the total area of the swimming pool and diving area combined in square meters? Answer: 132 Solution: Area = length × width = 15 m × 8 m = 120 square meters Area = length × width = 4 m × 3 m = 12 square meters Total area = pool area + diving area = 120 + 12 = 132 square meters The answer is 132.
   Full step-by-step solution

   Step 1: Calculate the area of the main pool Area = length × width = 15 m × 8 m = 120 square meters Step 2: Calculate the area of the diving area Area = length × width = 4 m × 3 m = 12 square meters Step 3: Add the two areas together Total area = pool area + diving area = 120 + 12 = 132 square meters The answer is 132.

8. The city library is organizing its book collection. They have 3,456,789 fiction books and 1,234,567 non-fiction books. How many total books does the library have in its collection? Answer: 4,691,356 Solution: To find the total number of books, we need to add the number of fiction books and the number of non-fiction books. Write the numbers aligned by place value. Fiction books: 3,456,789 Non-fiction books: + 1,234,567 Start adding from the rightmost column (the ones place).
   Full step-by-step solution

   To find the total number of books, we need to add the number of fiction books and the number of non-fiction books. Step 1: Write the numbers aligned by place value. Fiction books: 3,456,789 Non-fiction books: + 1,234,567 Step 2: Start adding from the rightmost column (the ones place). Ones column: 9 + 7 = 16 Write down the 6 in the ones place of the answer, and carry over the 1 (from 16) to the tens column. Step 3: Add the tens column, including the carry-over. Tens column: 8 + 6 + 1 (carry-over) = 15 Write down the 5 in the tens place of the answer, and carry over the 1 to the hundreds column. Step 4: Add the hundreds column, including the carry-over. Hundreds column: 7 + 5 + 1 (carry-over) = 13 Write down the 3 in the hundreds place of the answer, and carry over the 1 to the thousands column. Step 5: Add the thousands column, including the carry-over. Thousands column: 6 + 4 + 1 (carry-over) = 11 Write down the 1 in the thousands place of the answer, and carry over the 1 to the ten-thousands column. Step 6: Add the ten-thousands column, including the carry-over. Ten-thousands column: 5 + 3 + 1 (carry-over) = 9 Write down the 9 in the ten-thousands place of the answer. There is nothing to carry over. Step 7: Add the hundred-thousands column. Hundred-thousands column: 4 + 2 = 6 Write down the 6 in the hundred-thousands place of the answer. Step 8: Add the millions column. Millions column: 3 + 1 = 4 Write down the 4 in the millions place of the answer. Step 9: Combine all the digits from the steps above. The final answer is 4,691,356. Therefore, the library has a total of 4,691,356 books in its collection.