# Simplify: 17 – 6 * 3 + 4 * 2 / 3

The way of representing the numbers using digits, symbols are called the number system. It is also called the set of values that are used to represent quantity and things. There are mainly four types of number system that is used, Decimal Number (0, 1, 2, 3, 4, 5 .. (so on) with base 10 ), Binary Numbers ( set of 0s and 1s with base 2), Octal Numbers (numbers with base 8 i.e., 55_{8} ), Hexadecimal Numbers ( numbers with base 16, represent using A, B, C, D, E, F). Decimal numbers (0- 9) are the most commonly used number system. All operations are easily possible to calculate. The different decimal numbers are calculated together to find another number. There are rules assigned that are strictly used to solve any expression, the rule which is used for operations on numbers is called BODMAS rule, let’s take at look at this rule in detail,

### BODMAS Rule

BODMAS is an acronym given for the students to easily understand the steps to be followed while solving any question. BODMAS stands for Brackets “( )”, Orders “x^{y}“, Division “÷”, Multiplication “×”, Addition “+”, Subtraction “-“. Solving questions while following this pattern gives the correct answer always. For Instance, 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 BODMAS Rule is essential to obtain the correct answer.

### Simplify: 17 – 6 × 3 + 4 × 2 / 3

**Solution: **

According to question,

Given,

17 – 6 × 3 + 4 × 2 / 3

Now,

= 17 – 18 + 4× 2/3

= -1 + 4× 2/3

= -1 + 8/3

= 5/3 (approx. 1.6667).

### Similar Questions

**Question 1: Evaluate 18- 6 × 5 / 2 + 4**

**Solution:**

According to question,

Given

,18- 6 × 5 / 2 + 4

Now,

= 18 – 30/2 + 4

= 18 – 15 + 4

= 3 + 4

= 7.

**Question 2: Evaluate 2 ^{2 }× 2 ^{3} + 2^{2} – 2**

**Solution:**

According to question,

Given

,2

^{2}× 2^{3}+ 2^{2}– 2= 4 × 8 + 4 – 2

= 32 + 4 – 2

=

34.

**Question 3: Evaluate (x+2) ^{2}**

**Solution:**

According to question,

Given,

(x+2)

^{2}= x

^{2 }+ 2 × x × 2 + 2^{2 }( i.e., applying formula of (a+b)^{2}= a^{2}+ 2ab + b^{2})=

x^{2 }+ 4x + 4.

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

**Solution:**

According to question,

Given,

8 – 7 + 5 × 4 / 2 + 3 – 9

= 8 – 7 + 20/2 + 3 – 9

= 8 – 7 + 10 + 3 – 9

= 1 + 10 – 6

= 1 + 4

=

5.