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Evaluate the following expression:

[tex]\[ 3 \times 3 - 3 \div 3 + 3 \][/tex]

Sagot :

Sure, let's solve the expression step-by-step:

The expression given is:
[tex]\[ 3 \times 3 - 3 \div 3 + 3 \][/tex]

### Step 1: Perform Multiplication and Division

Let's handle the multiplication and division first, as per the order of operations (PEMDAS/BODMAS rules).

1. Calculate [tex]\( 3 \times 3 \)[/tex]:
[tex]\[ 3 \times 3 = 9 \][/tex]

2. Calculate [tex]\( 3 \div 3 \)[/tex]:
[tex]\[ 3 \div 3 = 1 \][/tex]

Now the expression simplifies to:
[tex]\[ 9 - 1 + 3 \][/tex]

### Step 2: Perform Addition and Subtraction

Next, we perform the addition and subtraction from left to right.

1. Subtract 1 from 9:
[tex]\[ 9 - 1 = 8 \][/tex]

2. Add 3 to 8:
[tex]\[ 8 + 3 = 11 \][/tex]

Thus, the value of the expression is:
[tex]\[ 11 \][/tex]