In a city, there are 45 schools. Each school has 38 rooms and each room has 98 chairs and tables. How many chairs and tables will be there in total? Calculate it using suitable property.

Answer

To find the total number of chairs and tables in the city, we need to calculate the product of the number of schools, the number of rooms per school, and the number of chairs and tables per room. Let's break this down step by step.

### Step 1: Identify the numbers
- Number of schools = 45
- Number of rooms per school = 38
- Number of chairs and tables per room = 98

### Step 2: Calculate the total number of rooms
To find the total number of rooms in all schools, we multiply the number of schools by the number of rooms per school.

\[ \text{Total rooms} = \text{Number of schools} \times \text{Number of rooms per school} \]
\[ \text{Total rooms} = 45 \times 38 \]

### Step 3: Calculate the total number of chairs and tables
Now, we need to calculate the total number of chairs and tables by multiplying the total number of rooms by the number of chairs and tables per room.

\[ \text{Total chairs and tables} = \text{Total rooms} \times \text{Number of chairs and tables per room} \]
\[ \text{Total chairs and tables} = (45 \times 38) \times 98 \]

### Step 4: Simplify using the distributive property
We can simplify the multiplication using the distributive property. We can express 98 as \(100 - 2\):

\[ \text{Total chairs and tables} = (45 \times 38) \times (100 - 2) \]
\[ = (45 \times 38 \times 100) - (45 \times 38 \times 2) \]

### Step 5: Calculate each part
1. Calculate \(45 \times 38\):
\[ 45 \times 38 = 1710 \]

2. Now calculate \(1710 \times 100\):
\[ 1710 \times 100 = 171000 \]

3. Calculate \(1710 \times 2\):
\[ 1710 \times 2 = 3420 \]

4. Now subtract the two results:
\[ 171000 - 3420 = 167580 \]

### Final Answer
Thus, the total number of chairs and tables in the city is **167580**.

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