Simplify: 17 – 6 * 3 + 4 * 2 / 3

Simplification of any mathematical problems is done using the BODMAS rule. So let’s first learn the BODMAS rule.

BODMAS Rule

BODMAS is an acronym given for the students to easily understand the steps to be followed while solving any question. BODMAS rule stands for

• Brackets “()”
• Orders “x^y” (Powers and Roots)
• Division “÷” / Multiplication “×” (left to right)
• Addition “+” / Subtraction “-“(left to right)

Solving questions while following this pattern gives the correct answer always. For example, solving the expression 2 × (3-1) with BODMAS will give 4 which is the correct answer, but solving the multiplication first, ignoring the brackets will give 5 (wrong answer).

Hence, following the BODMAS Rule is essential to obtain the correct answer.

Simplify: 17 – 6 × 3 + 4 × 2 / 3

Solution:

Given,

• 17 – 6 × 3 + 4 × 2 / 3

First we are going to solve 6 × 3 = 18 because multiplication has higher priority than subtraction. We get,

17 – 18 + 4 x 2 / 3

In second step multiplication and division have equal priority but, we solve 4 × 2 = 8 first, because if the priority is equal than we follow the left to right rule in multiplication and division. We get,

17 – 18 + 8 / 3

In next step we do 8/3 = 2.6666666667

17 – 18 + 2.6666666667

In next step subtraction and addition has equal priority but, we do 17 – 18 = -1 first, because if the priority are equal than we follow left to right rule in subtraction and addition.

In final step we do -1 + 2.6666666667 = 1.6666666667

-1 + 2.6666666667

Now, last evaluation gives us the answer

1.6666666667

Answer = 1.6666666667

Similar Questions

Question 1: Simplify: 24 ÷ 3 × 2 + 10 – 5

Solution:

Given,

• 24 ÷ 3 × 2 + 10 – 5

Now using BODMAS rule

= 8 x 2 + 10-5

= 16 + 10 – 5

= 26 – 5

= 21

Answer: 21

Step-by-Step Breakdown:

• Division (from left to right):
  • 24 ÷ 3 = 8
• Multiplication (from left to right):
  • 8 × 2 = 16
• Addition and Subtraction (from left to right):
  • We have 16 + 10, we perform addition first: 16 + 10 = 26.
• Finally, we subtract:
  • 26 – 5 = 21

Question 2: Evaluate 18- 6 × 5 / 2 + 4

Solution:

Given,

• 18- 6 × 5 / 2 + 4

Now,

= 18 – 30/2 + 4

= 18 – 15 + 4

= 3 + 4

= 7

Answer: 7

Question 3: Evaluate 2² × 2 ³ + 2² – 2

Solution:

Given,

• 2² × 2³ + 2² – 2

  First, evaluate the values of 2², 2³ and 2² that is 4, 8 and 4 respectively. Substituting the values in the equation:

= 4 × 8 + 4 – 2

= 32 + 4 – 2

= 36 – 2

= 34

Answer: 34

Question 4: Evaluate (x+2)²

Solution:

Given,

• (x+2)²

= x² + 2 × x × 2 + 2²     ( i.e., applying formula of (a+b)² = a² + 2ab + b²)

= x² + 4x + 4

OR

• (x+2)²

= (x+2) (x+2) [Writing the above equation same as 2² = 2 × 2]

= x × x + x × 2 + 2 × x + 2 × 2

= x² + x × 2 + 2 × x + 4

= x² + 2x + 2 × x + 4

= x² + 2x + 2x + 4

= x² + 4x + 4

Answer: x² + 4x + 4

Question 5: Evaluate 8 – 7 + 5 × 4 / 2 + 3 – 9

Solution:

Given,

•  8 – 7 + 5 × 4 / 2 + 3 – 9

 = 8 – 7 + 20/2 + 3 – 9

= 8 – 7 + 10 + 3 – 9

= 1 + 10 + 3 – 9

= 11 + 3 – 9

= 14 – 9

= 5

Answer: 5

Question 6: Solve 4 + 6 × (5 – 2)²/2

Solution:

Given,

• 4 + 6 × (5 – 2)² / 2

= 4 + 6 × (3)² / 2

= 4 + 6 × 9 / 2

= 4 + 54 / 2

= 4 + 27

= 31

Answer: 31

• NOTE: The underlined parts in the all the above equations is for clarity that, that particular part of the equation is being calculated in next step.