Rounding Numbers

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Answer Key & Explanations

Rounding Numbers · Grade 3 · Worksheet 2

1. Round 8324 to the nearest 100. Answer: 8300 Solution: Look at the digit that decides rounding to the nearest 100. 8324 rounds to 8300.
   Full step-by-step solution

   Step 1: Look at the digit that decides rounding to the nearest 100. Step 2: 8324 rounds to 8300. The answer is 8300.

2. Round 4213 to the nearest 100. Answer: 4200 Solution: Look at the digit that decides rounding to the nearest 100. 4213 rounds to 4200.
   Full step-by-step solution

   Step 1: Look at the digit that decides rounding to the nearest 100. Step 2: 4213 rounds to 4200. The answer is 4200.

3. A rectangular playground is drawn on grid paper with a length of 120 meters and a width of 80 meters. If you count all the 1-meter by 1-meter squares that make up the playground's surface, how many squares are there? Answer: 9600 Solution: The playground is a rectangle with length 120 meters and width 80 meters. Each square is 1 meter by 1 meter, so along the length there are 120 squares. Along the width there are 80 squares.
   Full step-by-step solution

   Step 1: The playground is a rectangle with length 120 meters and width 80 meters. Step 2: Each square is 1 meter by 1 meter, so along the length there are 120 squares. Step 3: Along the width there are 80 squares. Step 4: To find the total number of squares, multiply the number of squares along the length by the number of squares along the width: 120 × 80. Step 5: Calculate 120 × 80 = 9600. The answer is 9600.

4. Noah is helping his teacher organize the classroom library. There are 64 books that need to be placed on shelves. Each shelf can hold exactly 10 books. How many complete shelves can Noah fill with these books? Answer: 6 Solution: Identify the total number of books: 64 Identify how many books each shelf holds: 10 Divide the total books by the shelf capacity: 64 ÷ 10 64 ÷ 10 = 6 with a remainder of 4 Since we're looking for complete shelves, we only count the 6 full shelves.
   Full step-by-step solution

   Step 1: Identify the total number of books: 64 Step 2: Identify how many books each shelf holds: 10 Step 3: Divide the total books by the shelf capacity: 64 ÷ 10 Step 4: 64 ÷ 10 = 6 with a remainder of 4 Step 5: Since we're looking for complete shelves, we only count the 6 full shelves. The 4 leftover books don't make a complete shelf. The answer is 6 complete shelves.

5. A rectangular playground is drawn on grid paper. The playground has a length of 120 meters and a width of 85 meters. If you count all the 1-meter by 1-meter squares that make up the playground surface, how many squares are there? Answer: 10200 Solution: The problem asks for the number of 1-meter by 1-meter squares that cover the playground surface. This means we need to find the area of the rectangle.
   Full step-by-step solution

   Step 1: The problem asks for the number of 1-meter by 1-meter squares that cover the playground surface. This means we need to find the area of the rectangle. Step 2: The formula for the area of a rectangle is length multiplied by width. Step 3: The length is 120 meters and the width is 85 meters. Step 4: Multiply 120 × 85. Step 5: First, multiply 120 × 80 = 9,600. Step 6: Then, multiply 120 × 5 = 600. Step 7: Add the two results: 9,600 + 600 = 10,200. Step 8: Therefore, there are 10,200 squares that make up the playground surface.