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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
Mathematics
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Step-by-step solution
12 steps1. 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.
Determine the number of shelves needed.
Calculate the division.
- 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) is the same as
Perform the division.
$$ 320 \div 8 = 40 $$Write the inverse multiplication.
$$ 8 \times 40 = 320 $$ * **Answer:** $8 \times 40 = 320$- b) is the same as
Perform the division.
$$ 400 \div 8 = 50 $$Write the inverse multiplication.
$$ 8 \times 50 = 400 $$ * **Answer:** $8 \times 50 = 400$ (Your work $50 \times 9 = 400$ is incorrect, as $50 \times 9 = 450$)- c) is the same as
Perform the division.
$$ 240 \div 4 = 60 $$Write the inverse multiplication.
$$ 4 \times 60 = 240 $$ * **Answer:** $4 \times 60 = 240$ (Your work is correct)3. Complete the following:
- a) is the same as
Perform the division.
$$ 352 \div 8 = 44 \text{ remainder } 0 $$Write the inverse multiplication with remainder.
$$ 8 \times 44 + 0 = 352 $$ * **Answer:** $8 \times 44 + 0 = 352$ (Your work $8 \times 43 + 8$ is incorrect because the remainder must be less than the divisor. $8 \div 8 = 1$ with remainder 0, so 43 is not the correct quotient.)- b) is the same as
Perform the division.
$$ 448 \div 8 = 56 \text{ remainder } 0 $$Write the inverse multiplication with remainder.
$$ 8 \times 56 + 0 = 448 $$ * **Answer:** $8 \times 56 + 0 = 448$ (
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