Addition Within 10000

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Addition Within 10000 · Grade 4 · Worksheet 1

1. A rectangular garden is drawn with a length of 245 centimeters and a width of 138 centimeters. A gardener wants to put a fence around the entire garden. What is the total perimeter of the garden in centimeters? Answer: 766 Solution: The formula for the perimeter of a rectangle is P = 2 × (length + width). Substitute the given values: P = 2 × (245 + 138). Calculate inside the parentheses: 245 + 138 = 383.
   Full step-by-step solution

   Step 1: The formula for the perimeter of a rectangle is P = 2 × (length + width). Step 2: Substitute the given values: P = 2 × (245 + 138). Step 3: Calculate inside the parentheses: 245 + 138 = 383. Step 4: Multiply by 2: 2 × 383 = 766. The answer is 766.

2. 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.

3. Sam collects stamps. Sam has 1712 stamps from the United States and 4422 stamps from other countries. How many stamps does Sam have in total? Answer: 6134 Solution: Stamps from the United States: 1712. Stamps from other countries: 4422. Add them: 1712 + 4422 = 6134.
   Full step-by-step solution

   Step 1: Stamps from the United States: 1712. Step 2: Stamps from other countries: 4422. Step 3: Add them: 1712 + 4422 = 6134. Sam has 6134 stamps in total.

4. Aroha is training for a charity walk. In the first week, Aroha walked 2847 meters. In the second week, Aroha walked 1859 meters. In the third week, Aroha walked 2176 meters. What is the total distance Aroha walked over the three weeks? Answer: 6882 Solution: Distance walked in week 1: 2847 meters. Distance walked in week 2: 1859 meters. Distance walked in week 3: 2176 meters.
   Full step-by-step solution

   Step 1: Distance walked in week 1: 2847 meters. Step 2: Distance walked in week 2: 1859 meters. Step 3: Distance walked in week 3: 2176 meters. Step 4: Add all distances: 2847 + 1859 + 2176 = 6882. Aroha walked a total of 6882 meters.

5. Kaia is creating a large mosaic artwork. She places 2,847 blue tiles and 3,956 red tiles in a rectangular pattern. How many tiles does Kaia use in total for her mosaic? Answer: 6,803 Solution: Write the numbers vertically, aligning by place value: 2,847 + 3,956 Add the ones: 7 + 6 = 13. Write 3 in the ones place and carry over 1 to the tens place. Add the tens: 4 + 5 = 9, plus the carried 1 = 10.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning by place value: 2,847 + 3,956 Step 2: Add the ones: 7 + 6 = 13. Write 3 in the ones place and carry over 1 to the tens place. Step 3: Add the tens: 4 + 5 = 9, plus the carried 1 = 10. Write 0 in the tens place and carry over 1 to the hundreds place. Step 4: Add the hundreds: 8 + 9 = 17, plus the carried 1 = 18. Write 8 in the hundreds place and carry over 1 to the thousands place. Step 5: Add the thousands: 2 + 3 = 5, plus the carried 1 = 6. Write 6 in the thousands place. The sum is 6,803. Kaia uses 6,803 tiles in total.

6. Tane is stacking cans for a food drive. He stacks 2,835 cans on the first day and 4,726 cans on the second day. How many cans does Tane stack in total? Answer: 7561 Solution: Write the numbers vertically, aligning the digits by place value: 2,835 + 4,726. Add the ones: 5 + 6 = 11. Write 1 in the ones place and carry 1 to the tens column.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning the digits by place value: 2,835 + 4,726. Step 2: Add the ones: 5 + 6 = 11. Write 1 in the ones place and carry 1 to the tens column. Step 3: Add the tens: 3 + 2 = 5, plus the carried 1 = 6. Write 6 in the tens place. Step 4: Add the hundreds: 8 + 7 = 15. Write 5 in the hundreds place and carry 1 to the thousands column. Step 5: Add the thousands: 2 + 4 = 6, plus the carried 1 = 7. Write 7 in the thousands place. Step 6: The sum is 7,561. The answer is 7,561 cans.

7. 3,782 + 4,219 = ? Answer: 8001 Solution: Write the numbers vertically, aligning the digits by place value: 3,782 + 4,219 Add the ones column: 2 + 9 = 11. Write down 1 and carry over 1 to the tens column. Add the tens column: 8 + 1 + 1 (carried over) = 10.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning the digits by place value: 3,782 + 4,219 -------- 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: 8 + 1 + 1 (carried over) = 10. Write down 0 and carry over 1 to the hundreds column. Step 4: Add the hundreds column: 7 + 2 + 1 (carried over) = 10. Write down 0 and carry over 1 to the thousands column. Step 5: Add the thousands column: 3 + 4 + 1 (carried over) = 8. Write down 8. Step 6: The final answer is 8,001.