Place Value to Millions

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Place Value to Millions · Grade 4 · Worksheet 3

1. 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

2. Ava is looking at a place value chart that shows the number 7,243,806. She sees a visual representation with base-ten blocks where the millions place has 7 large cubes, the hundred-thousands place has 2 flats, the ten-thousands place has 4 rods, the thousands place has 3 small cubes, the hundreds place has 8 flats, the tens place has 0 rods, and the ones place has 6 small cubes. What is the total value of the digits in the thousands period (thousands, ten-thousands, and hundred-thousands places) in this number? Answer: 243,000 Solution: Identify the digits in the thousands period. The number is 7,243,806. The thousands period consists of the hundred-thousands, ten-thousands, and thousands places.
   Full step-by-step solution

   Step 1: Identify the digits in the thousands period. The number is 7,243,806. The thousands period consists of the hundred-thousands, ten-thousands, and thousands places. The digit in the hundred-thousands place is 2, the digit in the ten-thousands place is 4, and the digit in the thousands place is 3. Step 2: Find the value of each digit in the thousands period. - The 2 in the hundred-thousands place represents 2 × 100,000 = 200,000 - The 4 in the ten-thousands place represents 4 × 10,000 = 40,000 - The 3 in the thousands place represents 3 × 1,000 = 3,000 Step 3: Add these values together. 200,000 + 40,000 + 3,000 = 243,000 The answer is 243,000.

3. The city library is organizing a summer reading challenge. They have 4,825 fiction books, 3,150 non-fiction books, and 2,975 graphic novels available for the program. How many total books does the library have for the summer reading challenge? Answer: 10,950 Solution: - Fiction books: 4,825 - Non-fiction books: 3,150 - Graphic novels: 2,975 Add fiction and non-fiction books first. 4,825 + 3,150 = 7,975 Add graphic novels to the result from Step 1.
   Full step-by-step solution

   Let's add the total number of books step by step. We have: - Fiction books: 4,825 - Non-fiction books: 3,150 - Graphic novels: 2,975 **Step 1: Add fiction and non-fiction books first.** 4,825 + 3,150 = 7,975 **Step 2: Add graphic novels to the result from Step 1.** 7,975 + 2,975 Break it down: 7,975 + 2,000 = 9,975 9,975 + 975 = 10,950 So, 7,975 + 2,975 = 10,950 **Step 3: Verify the addition in a different way to check.** Add all three numbers at once, aligning by place value: Thousands: 4 + 3 + 2 = 9 thousand → 9,000 Hundreds: 800 + 100 + 900 = 1,800 → total now 9,000 + 1,800 = 10,800 Tens: 20 + 50 + 70 = 140 → total now 10,800 + 140 = 10,940 Ones: 5 + 0 + 5 = 10 → total now 10,940 + 10 = 10,950 Both methods give the same result. **Final Answer:** 10,950

4. 9,135,207 ÷ 1,000 = ? Answer: 9,135.207 Solution: Start with 9,135,207. Dividing by 1,000 means each digit moves three places to the right. The 9 in the millions place becomes 9 in the thousands place.
   Full step-by-step solution

   Step 1: Start with 9,135,207. Step 2: Dividing by 1,000 means each digit moves three places to the right. Step 3: The 9 in the millions place becomes 9 in the thousands place. Step 4: The 1 in the hundred-thousands place becomes 1 in the hundreds place. Step 5: The 3 in the ten-thousands place becomes 3 in the tens place. Step 6: The 5 in the thousands place becomes 5 in the ones place. Step 7: The 2 in the hundreds place becomes 2 in the tenths place. Step 8: The 0 in the tens place becomes 0 in the hundredths place. Step 9: The 7 in the ones place becomes 7 in the thousandths place. Step 10: The result is 9,135.207. The answer is 9,135.207.

5. Matiu is looking at a place value chart that shows a large number represented by base-ten blocks. The chart has 7 columns: Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, and Ones. In the Millions column, there are 2 blocks. In the Hundred Thousands column, there are 4 blocks. In the Ten Thousands column, there are 6 blocks. In the Thousands column, there are 0 blocks. In the Hundreds column, there are 8 blocks. In the Tens column, there are 2 blocks. In the Ones column, there are 4 blocks. What is the total number represented on the chart? Write your answer using digits and commas. Answer: 2,460,824 Solution: Write the digits from the chart in order from the largest place to the smallest: Millions: 2, Hundred Thousands: 4, Ten Thousands: 6, Thousands: 0, Hundreds: 8, Tens: 2, Ones: 4.
   Full step-by-step solution

   Step 1: Write the digits from the chart in order from the largest place to the smallest: Millions: 2, Hundred Thousands: 4, Ten Thousands: 6, Thousands: 0, Hundreds: 8, Tens: 2, Ones: 4. Step 2: Write the digits as a number: 2,460,824. Step 3: Check that each digit is in the correct place: 2 is in the millions place (worth 2,000,000), 4 is in the hundred thousands place (worth 400,000), 6 is in the ten thousands place (worth 60,000), 0 is in the thousands place (worth 0), 8 is in the hundreds place (worth 800), 2 is in the tens place (worth 20), and 4 is in the ones place (worth 4). Adding these gives 2,000,000 + 400,000 + 60,000 + 0 + 800 + 20 + 4 = 2,460,824. The answer is 2,460,824.

6. Noah is helping his town's nature center organize their animal adoption records. They have 4,587,216 total animals adopted last year. In that number, what is the value of the digit in the hundred-thousands place? Answer: 500,000 Solution: Write the number 4,587,216 and label the place values from right to left: ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions.
   Full step-by-step solution

   Step 1: Write the number 4,587,216 and label the place values from right to left: ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions. Step 2: The digits are: 4 in the millions place, 5 in the hundred-thousands place, 8 in the ten-thousands place, 7 in the thousands place, 2 in the hundreds place, 1 in the tens place, 6 in the ones place. Step 3: The digit in the hundred-thousands place is 5. Step 4: The value of 5 in the hundred-thousands place is 5 × 100,000 = 500,000. The answer is 500,000.

7. 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.