Compare Measurements

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Answer Key & Explanations

Compare Measurements · Grade 2 · Worksheet 3

1. 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

2. Noah has 68 marbles in his collection. He finds 27 more marbles in a box. How many marbles does Noah have in total? Answer: 95 marbles Solution: Noah starts with 68 marbles. He finds 27 more marbles.
   Full step-by-step solution

   Step 1: Noah starts with 68 marbles. Step 2: He finds 27 more marbles. Step 3: Add the two amounts together: 68 + 27 Step 4: First add the ones: 8 + 7 = 15 (write down 5, carry over 1 to the tens) Step 5: Then add the tens: 6 + 2 + 1 (carried over) = 9 Step 6: Combine the tens and ones: 90 + 5 = 95 Noah has 95 marbles in total.

3. A rectangle has a length of 25 centimeters and a width of 12 centimeters. What is the perimeter of the rectangle? Answer: 74 Solution: To find the perimeter of a rectangle, we use the formula: Perimeter = 2 × (length + width) Identify the given values. Length = 25 cm Width = 12 cm Add the length and width. 25 + 12 = 37 Multiply the sum by 2.
   Full step-by-step solution

   To find the perimeter of a rectangle, we use the formula: Perimeter = 2 × (length + width) Step 1: Identify the given values. Length = 25 cm Width = 12 cm Step 2: Add the length and width. 25 + 12 = 37 Step 3: Multiply the sum by 2. 2 × 37 = 74 Step 4: State the final answer with units. The perimeter of the rectangle is 74 centimeters.

4. 35 + 47 = ? Answer: 82 Solution: Write the numbers vertically in your mind (or on paper): 35 + 47 Start by adding the digits in the ones column (rightmost column): 5 + 7 = 12 Since 12 is a two-digit number, we split it: 12 = 10 + 2 Write down the 2 in the ones place of the answer, and carry over the 1 (from 10) to the tens column.
   Full step-by-step solution

   Let's add 35 and 47 step-by-step. Step 1: Write the numbers vertically in your mind (or on paper): 35 + 47 Step 2: Start by adding the digits in the ones column (rightmost column): 5 + 7 = 12 Step 3: Since 12 is a two-digit number, we split it: 12 = 10 + 2 Step 4: Write down the 2 in the ones place of the answer, and carry over the 1 (from 10) to the tens column. Step 5: Now add the digits in the tens column, including the carried-over 1: 3 + 4 + 1 = 8 Step 6: Write the 8 in the tens place of the answer. Step 7: Combine the tens and ones digits: The answer is 82. Final check: 35 + 47 = 82.

5. Noah has 68 marbles in his collection. He finds 24 more marbles in the playground. How many marbles does Noah have in total? Answer: 92 marbles Solution: Noah starts with 68 marbles He finds 24 more marbles Add the two amounts together: 68 + 24 Add the ones place: 8 + 4 = 12 (write 2, carry over 1 to tens place) Add the tens place: 6 + 2 + 1 = 9 Combine the results: 90 + 2 = 92 The answer is 92 marbles.
   Full step-by-step solution

   Step 1: Noah starts with 68 marbles Step 2: He finds 24 more marbles Step 3: Add the two amounts together: 68 + 24 Step 4: Add the ones place: 8 + 4 = 12 (write 2, carry over 1 to tens place) Step 5: Add the tens place: 6 + 2 + 1 = 9 Step 6: Combine the results: 90 + 2 = 92 The answer is 92 marbles.

6. Noah has 68 centimeters of blue ribbon. His sister Mia has 59 centimeters of red ribbon. Which color ribbon is longer? Answer: A. Blue ribbon Solution: Noah's blue ribbon is 68 centimeters Mia's red ribbon is 59 centimeters Compare the two numbers: 68 and 59 68 is greater than 59 Since 68 > 59, the blue ribbon is longer The correct answer is Blue ribbon.
   Full step-by-step solution

   Step 1: Noah's blue ribbon is 68 centimeters Step 2: Mia's red ribbon is 59 centimeters Step 3: Compare the two numbers: 68 and 59 Step 4: 68 is greater than 59 Step 5: Since 68 > 59, the blue ribbon is longer The correct answer is Blue ribbon.

7. Liam has 35 stickers in his collection. His friend Emma gives him 28 more stickers. How many stickers does Liam have now? Answer: 63 Solution: Liam starts with 35 stickers. Emma gives him 28 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 35 stickers. Step 2: Emma gives him 28 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. So we calculate: 35 + 28. Step 4: Break down the addition: First, add the ones place: 5 + 8 = 13. Write down 3 in the ones place, and carry over 1 to the tens place. Step 5: Now add the tens place: 3 + 2 = 5, plus the carried over 1 makes 6. So the tens place is 6. Step 6: Combine the tens and ones: 6 tens and 3 ones gives 63. Step 7: Therefore, Liam now has 63 stickers. Final answer: 63

8. Noah collected 68 seashells at the beach in the morning. In the afternoon, he found 25 more seashells. How many seashells did Noah collect in total? Answer: 93 seashells Solution: Noah started with 68 seashells. He found 25 more seashells.
   Full step-by-step solution

   Step 1: Noah started with 68 seashells. Step 2: He found 25 more seashells. Step 3: Add the two amounts together: 68 + 25 Step 4: First add the ones: 8 + 5 = 13 (write down 3, carry over 1 to the tens place) Step 5: Then add the tens: 6 + 2 + 1 (the carried over 1) = 9 Step 6: Combine the tens and ones: 90 + 3 = 93 Noah collected 93 seashells in total.