Addition Within 1000

lessonbunny.com

Answer Key & Explanations

Addition Within 1000 · Grade 3 · Worksheet 2

1. Lily's school is collecting cans for a food drive. On Monday, students brought in 347 cans. On Tuesday, they collected 285 more cans. How many cans did the school collect in total over the two days? Answer: 632 Solution: On Monday: 347 cans On Tuesday: 285 more cans than Monday We want the total cans for both days. Interpret "285 more cans than Monday." That means Tuesday's cans = Monday's cans + 285. So Tuesday = 347 + 285.
   Full step-by-step solution

   Let's solve this step by step. Step 1: Understand the problem. On Monday: 347 cans On Tuesday: 285 more cans than Monday We want the total cans for both days. Step 2: Interpret "285 more cans than Monday." That means Tuesday's cans = Monday's cans + 285. So Tuesday = 347 + 285. Step 3: Add 347 and 285. First, add the ones place: 7 + 5 = 12. Write down 2 in ones place, carry over 1 to the tens place. Step 4: Add the tens place: 4 + 8 = 12, plus the carried 1 = 13. Write down 3 in tens place, carry over 1 to the hundreds place. Step 5: Add the hundreds place: 3 + 2 = 5, plus the carried 1 = 6. So 347 + 285 = 632. Step 6: Conclusion. Total cans collected over both days = 632. Answer: 632

2. A rectangular garden has a length of 85 meters and a width of 47 meters. What is the total distance around the garden? Answer: 264 Solution: The perimeter of a rectangle is calculated by adding all four sides: length + width + length + width. This can also be written as 2 × length + 2 × width. Substitute the given values: 2 × 85 + 2 × 47.
   Full step-by-step solution

   Step 1: The perimeter of a rectangle is calculated by adding all four sides: length + width + length + width. Step 2: This can also be written as 2 × length + 2 × width. Step 3: Substitute the given values: 2 × 85 + 2 × 47. Step 4: Calculate 2 × 85 = 170. Step 5: Calculate 2 × 47 = 94. Step 6: Add the results: 170 + 94 = 264. The answer is 264.

3. Liam is collecting baseball cards. He has 285 cards in his main collection and his grandmother gives him 125 more cards for his birthday. How many baseball cards does Liam have now? Answer: 410 Solution: Liam starts with 285 baseball cards. His grandmother gives him 125 more cards. To find the total number of cards he has now, we add the two amounts together.
   Full step-by-step solution

   Liam starts with 285 baseball cards. His grandmother gives him 125 more cards. To find the total number of cards he has now, we add the two amounts together. Step 1: Write the addition problem: 285 + 125 Step 2: Add the ones place: 5 + 5 = 10 Write down 0 in the ones place and carry over 1 to the tens place. Step 3: Add the tens place (including the carry): 8 + 2 + 1 (carry) = 11 Write down 1 in the tens place and carry over 1 to the hundreds place. Step 4: Add the hundreds place (including the carry): 2 + 1 + 1 (carry) = 4 Write down 4 in the hundreds place. Step 5: Combine the digits: Hundreds: 4, Tens: 1, Ones: 0 So the total is 410. Therefore, Liam now has 410 baseball cards.

4. Liam's school is collecting cans for recycling. On Monday, his class collected 347 cans. On Tuesday, they collected 258 more cans. How many cans did Liam's class collect in total over both days? Answer: 605 Solution: Write the numbers vertically, aligning by place value: 347 + 258 Add the ones place: 7 + 8 = 15 Write down 5 in the ones place and carry over 1 to the tens place Add the tens place: 4 + 5 + 1 (carried over) = 10 Write down 0 in the tens place and carry over 1 to the hundreds place Add the…
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning by place value: 347 + 258 Step 2: Add the ones place: 7 + 8 = 15 Write down 5 in the ones place and carry over 1 to the tens place Step 3: Add the tens place: 4 + 5 + 1 (carried over) = 10 Write down 0 in the tens place and carry over 1 to the hundreds place Step 4: Add the hundreds place: 3 + 2 + 1 (carried over) = 6 Write down 6 in the hundreds place Step 5: The final answer is 605 Liam's class collected 605 cans in total.

5. A rectangular garden has a length of 245 centimeters and a width of 178 centimeters. What is the perimeter of the garden in centimeters? Answer: 846 Solution: The perimeter of a rectangle is the total distance around all four sides. The formula is Perimeter = 2 × (length + width). Add the length and width: 245 + 178 = 423.
   Full step-by-step solution

   Step 1: The perimeter of a rectangle is the total distance around all four sides. The formula is Perimeter = 2 × (length + width). Step 2: Add the length and width: 245 + 178 = 423. Step 3: Multiply the sum by 2: 2 × 423 = 846. The answer is 846.

6. Liam is collecting seashells at the beach. On Monday, he found 127 shells. On Tuesday, he found 85 more shells. How many seashells does Liam have in total? Answer: 212 Solution: Liam collected seashells on Monday and Tuesday. We need to find the total number of shells after both days. On Monday: 127 shells On Tuesday: 85 shells Add the shells from both days.
   Full step-by-step solution

   Let's solve this step by step. Step 1: Understand the problem. Liam collected seashells on Monday and Tuesday. We need to find the total number of shells after both days. Step 2: Identify the number of shells collected each day. On Monday: 127 shells On Tuesday: 85 shells Step 3: Add the shells from both days. Total = shells from Monday + shells from Tuesday Total = 127 + 85 Step 4: Perform the addition. First, add the ones place: 7 + 5 = 12. Write down 2 in the ones place, carry over 1 to the tens place. Next, add the tens place: 2 (from 127) + 8 (from 85) + 1 (carried over) = 11. Write down 1 in the tens place, carry over 1 to the hundreds place. Finally, add the hundreds place: 1 (from 127) + 0 (from 85) + 1 (carried over) = 2. So, 127 + 85 = 212. Step 5: Conclusion. Liam has 212 seashells in total.