Hakim needs your help to simplify the expression using order of operations.

(1.9−0.3)÷8+4×3


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1 answer

To simplify the expression \( (1.9 - 0.3) \div 8 + 4 \times 3 \), we'll use the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Step 1: Solve inside the parentheses.

Calculate \( 1.9 - 0.3 \):

\[ 1.9 - 0.3 = 1.6 \]

Now, we rewrite the expression:

\[ 1.6 \div 8 + 4 \times 3 \]

Step 2: Perform the division and multiplication.

First, perform the division:

\[ 1.6 \div 8 = 0.2 \]

Now, perform the multiplication:

\[ 4 \times 3 = 12 \]

At this point, we can rewrite the expression:

\[ 0.2 + 12 \]

Step 3: Perform the addition.

Now, we simply add:

\[ 0.2 + 12 = 12.2 \]

Thus, the simplified result of the given expression \( (1.9 - 0.3) \div 8 + 4 \times 3 \) is:

\[ \boxed{12.2} \]