Compare Measurements

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Answer Key & Explanations

Compare Measurements · Grade 2 · Worksheet 1

1. Which is longer: 36 inches or 1 yard? Answer: They are the same length. Solution: Recall that 1 yard equals 36 inches. Compare the two measurements: 36 inches and 1 yard (which is also 36 inches). Since both are equal to 36 inches, they are the same length.
   Full step-by-step solution

   Step 1: Recall that 1 yard equals 36 inches. Step 2: Compare the two measurements: 36 inches and 1 yard (which is also 36 inches). Step 3: Since both are equal to 36 inches, they are the same length. The answer is: They are the same length.

2. Liam has 45 stickers in his collection. His friend Emma gives him 23 more stickers. How many stickers does Liam have now? Answer: 68 Solution: Liam starts with 45 stickers. Emma gives him 23 more stickers. To find the total stickers Liam has now, we add the stickers he had at the start to the stickers Emma gave him.
   Full step-by-step solution

   Let's solve this step-by-step. Step 1: Liam starts with 45 stickers. Step 2: Emma gives him 23 more stickers. Step 3: To find the total stickers Liam has now, we add the stickers he had at the start to the stickers Emma gave him. Step 4: Write the addition: 45 + 23. Step 5: First, add the ones place: 5 + 3 = 8. Step 6: Next, add the tens place: 4 + 2 = 6. Step 7: Combine the tens and ones: 6 tens and 8 ones is 68. Step 8: So, 45 + 23 = 68. Answer: Liam now has 68 stickers.

3. Liam has 45 stickers in his collection. His friend Emma gives him 32 more stickers. How many stickers does Liam have now? Answer: 77 Solution: Liam starts with 45 stickers. Emma gives him 32 more stickers. This means we need to add the new stickers to the stickers he already has.
   Full step-by-step solution

   Step 1: Liam starts with 45 stickers. Step 2: Emma gives him 32 more stickers. This means we need to add the new stickers to the stickers he already has. Step 3: Write the addition: 45 + 32. Step 4: Add the numbers. First, add the ones place: 5 + 2 = 7. Step 5: Next, add the tens place: 4 + 3 = 7. Step 6: Combine the results from the tens and ones places: 7 tens and 7 ones is 77. Step 7: So, Liam now has 77 stickers. Final Answer: 77

4. Ava has 68 crayons in her art box. She buys a new pack with 24 more crayons. How many crayons does Ava have in total? Answer: 92 crayons Solution: Ava starts with 68 crayons She adds 24 more crayons Add the ones place: 8 + 4 = 12 (write 2, carry 1) Add the tens place: 6 + 2 + 1 = 9 Combine the results: 90 + 2 = 92 Ava has 92 crayons in total.
   Full step-by-step solution

   Step 1: Ava starts with 68 crayons Step 2: She adds 24 more crayons Step 3: Add the ones place: 8 + 4 = 12 (write 2, carry 1) Step 4: Add the tens place: 6 + 2 + 1 = 9 Step 5: Combine the results: 90 + 2 = 92 Ava has 92 crayons in total.

5. 72 - 48 = ? Answer: 24 Solution: Write the problem vertically: 72 - 48. Look at the ones column: 2 - 8. Since 2 is smaller than 8, we need to borrow from the tens column.
   Full step-by-step solution

   Step 1: Write the problem vertically: 72 - 48. Step 2: Look at the ones column: 2 - 8. Since 2 is smaller than 8, we need to borrow from the tens column. Step 3: Borrow 1 from the 7 in the tens column. The 7 becomes 6, and the 2 in the ones column becomes 12. Step 4: Now subtract the ones column: 12 - 8 = 4. Step 5: Now subtract the tens column: 6 - 4 = 2. Step 6: Combine the results from the tens and ones columns: 2 tens and 4 ones is 24. The answer is 24.

6. Which is longer: 26 inches or 2 feet? Answer: 26 inches Solution: Remember that 1 foot = 12 inches. Convert 2 feet to inches: 2 × 12 = 24 inches. Now compare: 26 inches and 24 inches.
   Full step-by-step solution

   Step 1: Remember that 1 foot = 12 inches. Step 2: Convert 2 feet to inches: 2 × 12 = 24 inches. Step 3: Now compare: 26 inches and 24 inches. Step 4: Since 26 is greater than 24, 26 inches is longer than 2 feet. The answer is 26 inches.

7. A rectangle is drawn with a length of 25 centimeters and a width of 10 centimeters. What is the total distance around the rectangle? Answer: 70 Solution: We are asked for the total distance around a rectangle. This is called the perimeter. Perimeter = 2 × (length + width) Identify the given measurements.
   Full step-by-step solution

   Step 1: Understand the problem. We are asked for the total distance around a rectangle. This is called the perimeter. Step 2: Recall the formula for the perimeter of a rectangle. Perimeter = 2 × (length + width) Step 3: Identify the given measurements. Length = 25 cm Width = 10 cm Step 4: Substitute the values into the formula. Perimeter = 2 × (25 + 10) Step 5: Perform the addition inside the parentheses. 25 + 10 = 35 Step 6: Multiply by 2. 2 × 35 = 70 Step 7: Include the unit in the final answer. The total distance around the rectangle is 70 centimeters. Final Answer: 70

8. Noah has 68 crayons in his box. His teacher gives him 24 more crayons for art class. How many crayons does Noah have now? Answer: 92 crayons Solution: Noah starts with 68 crayons He gets 24 more crayons Add the ones place: 8 + 4 = 12 (write 2 in ones place, carry 1 to tens place) Add the tens place: 6 + 2 + 1 (carried) = 9 Combine the tens and ones: 90 + 2 = 92 Noah has 92 crayons now.
   Full step-by-step solution

   Step 1: Noah starts with 68 crayons Step 2: He gets 24 more crayons Step 3: Add the ones place: 8 + 4 = 12 (write 2 in ones place, carry 1 to tens place) Step 4: Add the tens place: 6 + 2 + 1 (carried) = 9 Step 5: Combine the tens and ones: 90 + 2 = 92 Noah has 92 crayons now.