A teacher has 200 books and wants to put 25 books on each shelf. How many shelves will she need? Also, show how to solve the division problems: a) 320 / 8, b) 400 / 8, c) 240 / 4, and write the invers

Welcome back — been a while! Let's pick up where you left off. 1. Complete the following: Problem: Help the teacher re-arrange the books on the shelves. She only wants 25 books per shelf. She has 200 books. Will she have enough shelf space? Explain how you got your answer. Step 1: Determine the number of shelves needed. Number of shelves = Total booksBooks per shelf = (200)/(25) Step 2: Calculate the division. 200 ÷ 25 = 8 Answer: The teacher will need 8 shelves to arrange all 200 books with 25 books on each shelf. The question "Will she have enough shelf space?" cannot be fully answered without knowing the total number of shelves available. However, if the question implies how many shelves are needed*, then 8 shelves are required. 2. Complete the following: a) 320 ÷ 8 is the same as Step 1: Perform the division. 320 ÷ 8 = 40 Step 2: Write the inverse multiplication. 8 × 40 = 320 Answer: 8 × 40 = 320 b) 400 ÷ 8 is the same as Step 1: Perform the division. 400 ÷ 8 = 50 Step 2: Write the inverse multiplication. 8 × 50 = 400 Answer: 8 × 50 = 400 (Your work 50 × 9 = 400 is incorrect, as 50 × 9 = 450) c) 240 ÷ 4 is the same as Step 1: Perform the division. 240 ÷ 4 = 60 Step 2: Write the inverse multiplication. 4 × 60 = 240 Answer: 4 × 60 = 240 (Your work is correct) 3. Complete the following: a) 352 ÷ 8 is the same as Step 1: Perform the division. 352 ÷ 8 = 44 remainder 0 Step 2: Write the inverse multiplication with remainder. 8 × 44 + 0 = 352 Answer: 8 × 44 + 0 = 352 (Your work 8 × 43 + 8 is incorrect because the remainder must be less than the divisor. 8 ÷ 8 = 1 with remainder 0, so 43 is not the correct quotient.) b) 448 ÷ 8 is the same as Step 1: Perform the division. 448 ÷ 8 = 56 remainder 0 Step 2: Write the inverse multiplication with remainder. 8 × 56 + 0 = 448 Answer: 8 × 56 + 0 = 448 (