Place Value to Millions

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Answer Key & Explanations

Place Value to Millions · Grade 4 · Worksheet 3

1. A wildlife sanctuary is tracking bird populations. They counted 345,892 sparrows, 128,765 robins, and 97,431 blue jays. How many total birds did they count in the sanctuary? Answer: 572088 Solution: 345,892 128,765 + 97,431 Add the ones column: 2 + 5 + 1 = 8 Add the tens column: 9 + 6 + 3 = 18 (write 8, carry 1) Add the hundreds column: 8 + 7 + 4 + 1 (carry) = 20 (write 0, carry 2) Add the thousands column: 5 + 8 + 7 + 2 (carry) = 22 (write 2, carry 2) Add the ten thousands column: 4 + 2…
   Full step-by-step solution

   Step 1: Write the numbers aligned by place value: 345,892 128,765 + 97,431 Step 2: Add the ones column: 2 + 5 + 1 = 8 Step 3: Add the tens column: 9 + 6 + 3 = 18 (write 8, carry 1) Step 4: Add the hundreds column: 8 + 7 + 4 + 1 (carry) = 20 (write 0, carry 2) Step 5: Add the thousands column: 5 + 8 + 7 + 2 (carry) = 22 (write 2, carry 2) Step 6: Add the ten thousands column: 4 + 2 + 9 + 2 (carry) = 17 (write 7, carry 1) Step 7: Add the hundred thousands column: 3 + 1 + 0 + 1 (carry) = 5 Step 8: The total is 572,088 birds. The answer is 572088.

2. The population of Maple Creek is 245,678 people. The neighboring town of Riverbend has 189,432 people. How many more people live in Maple Creek than in Riverbend? Answer: 56,246 Solution: We are asked: "How many more people live in Maple Creek than in Riverbend?" This means we subtract the smaller population (Riverbend) from the larger population (Maple Creek). Write the two populations clearly. Maple Creek = 245,678 Riverbend = 189,432 245,678 − 189,432 Subtract starting from…
   Full step-by-step solution

   We are asked: "How many more people live in Maple Creek than in Riverbend?" This means we subtract the smaller population (Riverbend) from the larger population (Maple Creek). Step 1: Write the two populations clearly. Maple Creek = 245,678 Riverbend = 189,432 Step 2: Set up the subtraction: 245,678 − 189,432 Step 3: Subtract starting from the rightmost digit (ones place). Ones place: 8 − 2 = 6 Tens place: 7 − 3 = 4 Hundreds place: 6 − 4 = 2 So far we have: 678 − 432 = 246 in the last three digits. Step 4: Now thousands place: We have 245 − 189 in the thousands and above. But let's do it carefully column by column from the left part: 245,678 = 245 thousands + 678 189,432 = 189 thousands + 432 We can align them vertically: 245,678 − 189,432 Step 5: Start from the leftmost digits within each column if needed, but standard way is from right to left with borrowing if necessary. Let's check each column carefully: Ones: 8 − 2 = 6 Tens: 7 − 3 = 4 Hundreds: 6 − 4 = 2 Thousands: 5 − 9 → borrow from the ten-thousands column. The ten-thousands digit is 4 (in 245,678), but 4 is in the ten-thousands place meaning 40,000. We borrow 1 from 4, so 4 becomes 3, and 5 becomes 15. Now thousands: 15 − 9 = 6. Ten-thousands: We had 4, borrowed 1, so 3 remains. Subtract 8 from 3: need to borrow from hundred-thousands. Hundred-thousands: 2 (in 245,678) becomes 1 after borrowing, and 3 in ten-thousands becomes 13. Ten-thousands: 13 − 8 = 5. Hundred-thousands: 1 − 1 = 0 (so no digit in hundred-thousands place in the answer). So result is: 0 hundred-thousands, 5 ten-thousands, 6 thousands, 2 hundreds, 4 tens, 6 ones. That is: 56,246. Step 6: Check: 189,432 + 56,246 = 189,432 + 50,000 = 239,432; plus 6,246 = 245,678. Correct. Final answer: 56,246 more people live in Maple Creek than in Riverbend.

3. Kaia is helping her town plan a new nature reserve. The reserve will have three different habitat zones. The forest zone will cover 2,468,024 square meters, the wetland zone will cover 1,532,176 square meters, and the grassland zone will cover 987,615 square meters. What is the total area of the nature reserve in square meters? Answer: 4987815 Solution: Write the numbers aligned by place value, adding commas for clarity: 2,468,024 1,532,176 + 987,615 Add the ones column: 4 + 6 + 5 = 15. Write 5 in the ones place, carry 1 to the tens column.
   Full step-by-step solution

   Step 1: Write the numbers aligned by place value, adding commas for clarity: 2,468,024 1,532,176 + 987,615 Step 2: Add the ones column: 4 + 6 + 5 = 15. Write 5 in the ones place, carry 1 to the tens column. Step 3: Add the tens column: 2 + 7 + 1 + 1 (carry) = 11. Write 1 in the tens place, carry 1 to the hundreds column. Step 4: Add the hundreds column: 0 + 1 + 6 + 1 (carry) = 8. Write 8 in the hundreds place. Step 5: Add the thousands column: 8 + 2 + 7 = 17. Write 7 in the thousands place, carry 1 to the ten thousands column. Step 6: Add the ten thousands column: 6 + 3 + 8 + 1 (carry) = 18. Write 8 in the ten thousands place, carry 1 to the hundred thousands column. Step 7: Add the hundred thousands column: 4 + 5 + 9 + 1 (carry) = 19. Write 9 in the hundred thousands place, carry 1 to the millions column. Step 8: Add the millions column: 2 + 1 + 0 + 1 (carry) = 4. Write 4 in the millions place. Step 9: The total is 4,987,815 square meters. The answer is 4987815.

4. 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.

5. The city of Maple Creek is planning a new community garden. The garden will be divided into sections for different types of plants. The vegetable section will cover 125,750 square feet, the flower section will cover 89,425 square feet, and the herb section will cover 47,680 square feet. What is the total area of the community garden in square feet? Answer: 262855 Solution: Vegetable section: 125,750 square feet Flower section: 89,425 square feet Herb section: 47,680 square feet 125,750 + 89,425 = 215,175 Add the herb section to the result from step 2: 215,175 + 47,680 = 262,855 The total area of the community garden is 262,855 square feet.
   Full step-by-step solution

   Step 1: Write down the areas of all three sections: Vegetable section: 125,750 square feet Flower section: 89,425 square feet Herb section: 47,680 square feet Step 2: Add the vegetable and flower sections first: 125,750 + 89,425 = 215,175 Step 3: Add the herb section to the result from step 2: 215,175 + 47,680 = 262,855 Step 4: The total area of the community garden is 262,855 square feet.

6. The city of Oak Valley is planning a new community garden. The rectangular garden will be 45 meters long and 28 meters wide. What is the area of the garden in square meters? Answer: 1260 Solution: The formula for the area of a rectangle is length multiplied by width. The length is 45 meters and the width is 28 meters. Multiply 45 × 28.
   Full step-by-step solution

   Step 1: The formula for the area of a rectangle is length multiplied by width. Step 2: The length is 45 meters and the width is 28 meters. Step 3: Multiply 45 × 28. Step 4: First multiply 45 × 20 = 900 Step 5: Then multiply 45 × 8 = 360 Step 6: Add the partial products: 900 + 360 = 1260 Step 7: The area is 1260 square meters.