Addition Within 10000

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Answer Key & Explanations

Addition Within 10000 · Grade 4 · Worksheet 1

1. 3,784 + 2,916 = ? Answer: 6700 Solution: Write the numbers vertically, aligning by place value: 3,784 + 2,916 Add the ones column: 4 + 6 = 10. Write 0 in ones place, carry 1 to tens column. Add the tens column: 8 + 1 + 1 (carried) = 10.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning by place value: 3,784 + 2,916 Step 2: Add the ones column: 4 + 6 = 10. Write 0 in ones place, carry 1 to tens column. Step 3: Add the tens column: 8 + 1 + 1 (carried) = 10. Write 0 in tens place, carry 1 to hundreds column. Step 4: Add the hundreds column: 7 + 9 + 1 (carried) = 17. Write 7 in hundreds place, carry 1 to thousands column. Step 5: Add the thousands column: 3 + 2 + 1 (carried) = 6. Write 6 in thousands place. Step 6: The final answer is 6,700.

2. A rectangular garden has a length of 125.75 meters and a width of 84.25 meters. A gardener wants to install a fence around the entire perimeter. What is the total length of fencing needed in meters? Answer: 420 Solution: The perimeter of a rectangle is calculated by adding all four sides: Perimeter = 2 × (length + width). Substitute the given values: Perimeter = 2 × (125.75 + 84.25). First, add the length and width: 125.75 + 84.25 = 210.
   Full step-by-step solution

   Step 1: The perimeter of a rectangle is calculated by adding all four sides: Perimeter = 2 × (length + width). Step 2: Substitute the given values: Perimeter = 2 × (125.75 + 84.25). Step 3: First, add the length and width: 125.75 + 84.25 = 210. Step 4: Then, multiply by 2: 2 × 210 = 420. Step 5: The total length of fencing needed is 420 meters.

3. A farmer harvested 2,478 kilograms of wheat from one field and 3,526 kilograms from another field. How many kilograms of wheat did the farmer harvest in total? Answer: 6004 Solution: Write the numbers vertically, aligning by place value: 2,478 + 3,526 Add the ones place: 8 + 6 = 14. Write down 4 and carry over 1 to the tens place. Add the tens place: 7 + 2 = 9, plus the carried over 1 makes 10.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning by place value: 2,478 + 3,526 Step 2: Add the ones place: 8 + 6 = 14. Write down 4 and carry over 1 to the tens place. Step 3: Add the tens place: 7 + 2 = 9, plus the carried over 1 makes 10. Write down 0 and carry over 1 to the hundreds place. Step 4: Add the hundreds place: 4 + 5 = 9, plus the carried over 1 makes 10. Write down 0 and carry over 1 to the thousands place. Step 5: Add the thousands place: 2 + 3 = 5, plus the carried over 1 makes 6. Step 6: The total is 6,004 kilograms. The farmer harvested 6,004 kilograms of wheat in total.

4. Kai collects stamps. Kai has 2264 stamps from the United States and 5792 stamps from other countries. How many stamps does Kai have in total? Answer: 8056 Solution: Stamps from the United States: 2264. Stamps from other countries: 5792. Add them: 2264 + 5792 = 8056.
   Full step-by-step solution

   Step 1: Stamps from the United States: 2264. Step 2: Stamps from other countries: 5792. Step 3: Add them: 2264 + 5792 = 8056. Kai has 8056 stamps in total.

5. Liam is organizing a school fundraiser. On Monday, he collected 1,275 dollars from cookie sales. On Tuesday, he collected 985 dollars from bake sale donations. How much money did Liam collect in total for the two days? Answer: 2260 Solution: Step 1: Identify the amounts collected each day: Monday = 1,275 dollars, Tuesday = 985 dollars Step 2: Add the two amounts together: 1,275 + 985 Step 3: Calculate step by step: 1,275 + 900 = 2,175, then 2,175 + 85 = 2,260 Step 4: Alternatively, using standard addition: 1,275 + 985 = 2,260 Step…
   Full step-by-step solution

   Step 1: Identify the amounts collected each day: Monday = 1,275 dollars, Tuesday = 985 dollars Step 2: Add the two amounts together: 1,275 + 985 Step 3: Calculate step by step: 1,275 + 900 = 2,175, then 2,175 + 85 = 2,260 Step 4: Alternatively, using standard addition: 1,275 + 985 = 2,260 Step 5: Verify the calculation: 5 + 5 = 10 (write 0, carry 1), 7 + 8 + 1 = 16 (write 6, carry 1), 2 + 9 + 1 = 12 (write 2, carry 1), 1 + 1 = 2 Step 6: The total is 2,260 dollars The answer is 2260.

6. 7,842 + 1,359 = ? Answer: 9201 Solution: Write the numbers vertically, aligning by place value: 7,842 + 1,359 Add the ones column: 2 + 9 = 11. Write down 1 and carry over 1 to the tens column. Add the tens column: 4 + 5 + 1 (carried over) = 10.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning by place value: 7,842 + 1,359 Step 2: Add the ones column: 2 + 9 = 11. Write down 1 and carry over 1 to the tens column. Step 3: Add the tens column: 4 + 5 + 1 (carried over) = 10. Write down 0 and carry over 1 to the hundreds column. Step 4: Add the hundreds column: 8 + 3 + 1 (carried over) = 12. Write down 2 and carry over 1 to the thousands column. Step 5: Add the thousands column: 7 + 1 + 1 (carried over) = 9. Step 6: The final answer is 9,201.

7. The city library had 3,458 fiction books and 2,679 non-fiction books. During a book drive, they received 1,245 more books as donations. How many books does the library have in total now? Answer: 7382 Solution: Identify all the numbers to add: 3,458 fiction books + 2,679 non-fiction books + 1,245 donated books 3,458 + 2,679 = 6,137 6,137 + 1,245 = 7,382 The library has 7,382 books in total.
   Full step-by-step solution

   Step 1: Identify all the numbers to add: 3,458 fiction books + 2,679 non-fiction books + 1,245 donated books Step 2: Add the first two numbers: 3,458 + 2,679 = 6,137 Step 3: Add the result to the third number: 6,137 + 1,245 = 7,382 Step 4: The library has 7,382 books in total.