$5 + 2 \times 3 \div (3 \times 2) \times 3$
Simplify Mathematical Expression
Step-by-Step Solution
The expression to simplify is: $5 + 2 \times 3 \div (3 \times 2) \times 3$
We follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
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Parentheses: Calculate the expression inside the parentheses first.
$(3 \times 2) = 6$
The expression becomes: $5 + 2 \times 3 \div 6 \times 3$
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Multiplication and Division (left to right): Perform multiplications and divisions from left to right.
- First, calculate $2 \times 3$:
$2 \times 3 = 6$
The expression is now: $5 + 6 \div 6 \times 3$
- Next, calculate $6 \div 6$:
$6 \div 6 = 1$
The expression is now: $5 + 1 \times 3$
- Finally, calculate $1 \times 3$:
$1 \times 3 = 3$
The expression is now: $5 + 3$
- First, calculate $2 \times 3$:
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Addition: Perform the final addition.
$5 + 3 = 8$
The simplified value of the expression is 8.
Similar Questions
- Solve the following.
$3[35 + (45 + 10 \div 2 \times 3 - 50) + 5]$ What will the value of the following expression be?
$20 - [15 - \{4 - (8 - 6 + 3)\}]$
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$103 - [144 \div (12 \times 12) + 5 + 12 \div (6 - 2) + 10]$ - What is the value of $(6 + 4) \times \frac{4}{2} + 5 - 3$?
- What is the value of $\frac{(6 \times 2)}{(8 - 1 + 5)}$?
Simplify the given expression using BODMAS.
$\frac{4}{11} \times \frac{121}{16} \times 24 (75^2 - 55^2) \times \frac{1}{100}$Simplify the given expression.
$\frac{5+5\times5}{5\times5+5} \times \frac{\frac{1}{5}\div(\frac{1}{5}\times\frac{1}{5})}{(\frac{1}{5}\times\frac{1}{5})\div\frac{1}{5}} - (5 - \frac{1}{5}) \times \frac{10}{2}$- Using BODMAS, simplify the following.
$\frac{7}{9} \times \frac{21}{5} \times 25 (65^2 - 55^2)$ - Find the value of $216 \div 6 + 6 \times 4 - 10$.
- Solve the following:
$240 \div 8 \times 512 \div 4$
Important Questions from Bodmas Rule
If 2945 ÷ 19 – 11 × 5 = 29 + a, find the value of a.
DIRECTIONS: What should come in place of the question mark (?) in the following question?
3800 - 22 × 1968 ÷ 48 = ? × 7
Solve: {7.88 × 2 + 2.4 × 5 - 242.4 ÷ 4 + [9.2 × 4 - 2.46 of 3 + (36.3 ÷ 3 - 1.42 × 2)]}
What will come in the place of question mark (?) in the given expression?
(420 ÷ 12 × 35 + 452- 152) = ?2
Evaluate: (13 × 8 - √81 × 6 + 1 ) ÷ (√49 + 72 - 18 × 2 + 19)
