Simplifying the Arithmetic Expression
To simplify the expression \(125 ÷ 25 × 6 + 12 − 9\), we follow the order of operations (BODMAS/PEMDAS): Brackets/Parentheses, Orders/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
Step 1: Division
Perform the division first as it appears before multiplication when reading from left to right.
Use LaTeX for the calculation: \( 125 \div 25 = 5 \)
The expression becomes: \(5 × 6 + 12 − 9\)
Step 2: Multiplication
Next, perform the multiplication.
Use LaTeX for the calculation: \( 5 \times 6 = 30 \)
The expression is now: \(30 + 12 − 9\)
Step 3: Addition
Perform addition next, as it appears before subtraction from left to right.
Use LaTeX for the calculation: \( 30 + 12 = 42 \)
The expression simplifies to: \(42 − 9\)
Step 4: Subtraction
Finally, perform the subtraction.
Use LaTeX for the calculation: \( 42 - 9 = 33 \)
The simplified value of the expression is 33.
Similar Questions
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Important Questions from Simplification
If P = 0.3 × 0.3 + 0.03 × 0.03 - 0.6 × 0.03 and Q = 0.54, then \(\rm \frac{P}{Q}\) is equal to:
The value of \(\left(\frac{1}{2}\right)^{−2} \times\left(\frac{1}{3}\right)^{−2} \times\left(\frac{1}{4}\right)^{−2} \) is
The solution of the equation \(\frac{2}{3 x-4}+\frac{2}{2 x-6}=0 \) is:
What will come in the place of question mark (?) in the given expression?
\(\sqrt{21+\sqrt{49}+\sqrt{64}} \space {\%\:of\:5000}=?\)
There are 5 tasks and 5 persons. Task-1 cannot be assigned to either person-1 or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?
