Addition Within 10000

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Addition Within 10000 · Grade 4 · Worksheet 2

1. Liam is organizing a school fundraiser. On Monday, he collected 2,345 dollars from selling cookies. On Tuesday, he collected 1,789 dollars from a bake sale. How much money did Liam collect in total? Answer: 4134 Solution: Identify the amounts to add: 2,345 dollars from Monday and 1,789 dollars from Tuesday. Write the addition problem vertically, aligning the digits by place value. Add the ones place: 5 + 9 = 14.
   Full step-by-step solution

   Step 1: Identify the amounts to add: 2,345 dollars from Monday and 1,789 dollars from Tuesday. Step 2: Write the addition problem vertically, aligning the digits by place value. Step 3: Add the ones place: 5 + 9 = 14. Write down the 4 in the ones place and carry over the 1 to the tens place. Step 4: Add the tens place: 4 + 8 + 1 (carried over) = 13. Write down the 3 in the tens place and carry over the 1 to the hundreds place. Step 5: Add the hundreds place: 3 + 7 + 1 (carried over) = 11. Write down the 1 in the hundreds place and carry over the 1 to the thousands place. Step 6: Add the thousands place: 2 + 1 + 1 (carried over) = 4. Write down the 4 in the thousands place. Step 7: The total amount collected is 4,134 dollars. The answer is 4134.

2. A farmer harvested 2,347 kilograms of wheat from one field and 1,856 kilograms from another field. How many kilograms of wheat did the farmer harvest in total? Answer: 4203 Solution: Write the numbers vertically, aligning the digits by place value: 2347 + 1856 Add the ones column: 7 + 6 = 13. Write down the 3 and carry over the 1 to the tens column.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning the digits by place value: 2347 + 1856 Step 2: Add the ones column: 7 + 6 = 13. Write down the 3 and carry over the 1 to the tens column. Step 3: Add the tens column: 4 + 5 = 9, plus the carried over 1 makes 10. Write down the 0 and carry over the 1 to the hundreds column. Step 4: Add the hundreds column: 3 + 8 = 11, plus the carried over 1 makes 12. Write down the 2 and carry over the 1 to the thousands column. Step 5: Add the thousands column: 2 + 1 = 3, plus the carried over 1 makes 4. Step 6: The total is 4,203 kilograms. The answer is 4203.

3. 3,456 + 1,789 = ? Answer: 5245 Solution: Write the numbers vertically, aligning the digits by place value. Add the ones column: 6 + 9 = 15. Write down the 5 and carry over the 1 to the tens column.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning the digits by place value. Step 2: Add the ones column: 6 + 9 = 15. Write down the 5 and carry over the 1 to the tens column. Step 3: Add the tens column: 5 + 8 + 1 (carried over) = 14. Write down the 4 and carry over the 1 to the hundreds column. Step 4: Add the hundreds column: 4 + 7 + 1 (carried over) = 12. Write down the 2 and carry over the 1 to the thousands column. Step 5: Add the thousands column: 3 + 1 + 1 (carried over) = 5. Write down the 5. Step 6: The final sum is 5,245. The answer is 5245.

4. 3,784 + 2,156 = ? Answer: 5940 Solution: Write the numbers vertically, aligning by place value: 3,784 + 2,156 Add the ones column: 4 + 6 = 10. Write 0 in the ones place and carry over 1 to the tens column. Add the tens column: 8 + 5 + 1 (carry over) = 14.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning by place value: 3,784 + 2,156 Step 2: Add the ones column: 4 + 6 = 10. Write 0 in the ones place and carry over 1 to the tens column. Step 3: Add the tens column: 8 + 5 + 1 (carry over) = 14. Write 4 in the tens place and carry over 1 to the hundreds column. Step 4: Add the hundreds column: 7 + 1 + 1 (carry over) = 9. Write 9 in the hundreds place. Step 5: Add the thousands column: 3 + 2 = 5. Write 5 in the thousands place. Step 6: The final answer is 5,940.

5. 7577 + 363 = ? Answer: 7940 Solution: (place value): 7 thousands + 0 thousands; 5 hundreds + 3 hundreds; 7 tens + 6 tens; 7 ones + 3 ones. Start with 7577. Add 363: 7577 + 363 = 7940.
   Full step-by-step solution

   Step 1 (place value): 7 thousands + 0 thousands; 5 hundreds + 3 hundreds; 7 tens + 6 tens; 7 ones + 3 ones. Step 1: Start with 7577. Step 2: Add 363: 7577 + 363 = 7940. The answer is 7940.

6. A farmer has a rectangular field. The length of the field is 2,847 meters and the width is 3,956 meters. He wants to build a fence around the entire field. What is the total length of fencing needed in meters? Answer: 13,606 Solution: The perimeter of a rectangle is the total distance around it. A rectangle has two lengths and two widths. Step 2: Perimeter = 2 × length + 2 × width.
   Full step-by-step solution

   Step 1: The perimeter of a rectangle is the total distance around it. A rectangle has two lengths and two widths. Step 2: Perimeter = 2 × length + 2 × width. Step 3: Substitute the given numbers: 2 × 2,847 + 2 × 3,956. Step 4: First, multiply 2 × 2,847 = 5,694. Step 5: Then, multiply 2 × 3,956 = 7,912. Step 6: Add the two results: 5,694 + 7,912 = 13,606. Step 7: The total length of fencing needed is 13,606 meters.

7. Noah is arranging square tiles to form a large rectangular pattern. The rectangle has 47 tiles along the top row and 36 tiles along the left column. How many tiles are in the entire rectangle? Answer: 1692 Solution: The rectangle has 47 tiles in each row and 36 rows. Step 2: To find the total number of tiles, multiply the number of tiles in one row by the number of rows: 47 × 36. Step 3: Break 36 into 30 + 6.
   Full step-by-step solution

   Step 1: The rectangle has 47 tiles in each row and 36 rows. Step 2: To find the total number of tiles, multiply the number of tiles in one row by the number of rows: 47 × 36. Step 3: Break 36 into 30 + 6. Step 4: 47 × 30 = 1410. Step 5: 47 × 6 = 282. Step 6: Add the partial products: 1410 + 282 = 1692. The total number of tiles is 1692.

8. Ethan collects stamps. Ethan has 2738 stamps from the United States and 5247 stamps from other countries. How many stamps does Ethan have in total? Answer: 7985 Solution: Stamps from the United States: 2738. Stamps from other countries: 5247. Add them: 2738 + 5247 = 7985.
   Full step-by-step solution

   Step 1: Stamps from the United States: 2738. Step 2: Stamps from other countries: 5247. Step 3: Add them: 2738 + 5247 = 7985. Ethan has 7985 stamps in total.

9. Mere is helping her family plan a vegetable garden. They plant 2,456 lettuce seeds in one row, 3,218 carrot seeds in another row, and 1,089 beet seeds in a third row. How many seeds did they plant in total? Answer: 6,763 Solution: Write the numbers vertically, lining up the digits by place value: 2,456 + 3,218 + 1,089. Add the ones: 6 + 8 + 9 = 23. Write 3 in the ones place and carry 2 to the tens place.
   Full step-by-step solution

   Step 1: Write the numbers vertically, lining up the digits by place value: 2,456 + 3,218 + 1,089. Step 2: Add the ones: 6 + 8 + 9 = 23. Write 3 in the ones place and carry 2 to the tens place. Step 3: Add the tens: 5 + 1 + 8 + (carry 2) = 16. Write 6 in the tens place and carry 1 to the hundreds place. Step 4: Add the hundreds: 4 + 2 + 0 + (carry 1) = 7. Write 7 in the hundreds place. Step 5: Add the thousands: 2 + 3 + 1 = 6. Write 6 in the thousands place. Step 6: The total is 6,763. Mere's family planted 6,763 seeds.