Question 27 of 47intermediate🔧 ApplyNumerical4 marks

A school library has 86 shelves and each shelf has 162 books. Find the number of books in the library.

Correct Answer

Given: Number of shelves = 86 Books per shelf = 162

Formula: Total books = shelves × books per shelf

Substitution: Total books = 86×16286 \times 162

Calculation: 86×16286 \times 162 = 86 × (100 + 60 + 2) 86×10086 \times 100 = 8600 86×6086 \times 60 = 5160 86×286 \times 2 = 172 8600 + 5160 + 172 = 13932

Answer: The library has 13,932 books.

Exercise: Let Us Do | Q: 4e | (Page Page 11)
For More Understanding

Explanation

This is a multiplication word problem with larger numbers. Total books = shelves × books per shelf: 86×16286 \times 162 = 13,932.

Solution Steps

  1. Identify the given values: 86 shelves and 162 books per shelf.

  2. Set up the multiplication formula: Total books = shelves × books per shelf.

  3. Substitute the values: 86×16286 \times 162.

  4. Expand 162 into (100 + 60 + 2) to simplify the calculation.

  5. Multiply 86 by each part: 86×10086 \times 100, 86×6086 \times 60, and 86×286 \times 2.

  6. Add the partial products to find the total number of books.

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