Simplify the following:
\[39 - 18 \div 3 + 2 \times 3\]
Answer
653.1k+ views
Hint: We have to simplify the given expression in given. By using the BODMAS rule we are going to solve that expression.
To simplify a given problem we need to use the BODMAS rule.
Rule:
B→ Brackets first
O→ Orders (i.e. Powers and Square Roots, etc.)
DM→ Division and Multiplication (left-to-right)
AS→ Addition and Subtraction (left-to-right)
First we consider the division from left to right.
Secondly we proceed for multiplication from left to right. Then we consider the addition from left to right. After that subtractions are considered to get the result from left to right.
Complete step-by-step answer:
We need to simplify the given problem, \[39 - 18 \div 3 + 2 \times 3\].
To simplify the given problem we need to use the BODMAS rule.
Rule:
B→ Brackets first
O→ Orders (i.e. Powers and Square Roots, etc.)
DM→ Division and Multiplication (left-to-right)
AS→ Addition and Subtraction (left-to-right)
We know, in the BODMAS rule we need to first operate the division from left to right.
Thus we get,
\[ \Rightarrow 39 - 18 \div 3 + 2 \times 3 = 39 - 6 + 2 \times 3\]
Secondly we need to operate the multiplication from left to right.
Operating multiplication we get,
\[ \Rightarrow 39 - 6 + 2 \times 3 = 39 - 6 + 6\]
Then we operate addition from left to right we get,
\[ \Rightarrow 39 - 6 + 6 = 39\]
Hence we get after simplification,
\[\therefore 39 - 18 \div 3 + 2 \times 3 = 39\]
Note: Number (plural numbers) (countable) an abstract entity used to describe quantity.
"Operations" mean things like add, subtract, multiply, divide, squaring, etc. If it isn't a number it is probably an operation.
Calculate them in the wrong order, and you can get a wrong answer.
Rule:
B→ Brackets first
O→ Orders (i.e. Powers and Square Roots, etc.)
DM→ Division and Multiplication (left-to-right)
AS→ Addition and Subtraction (left-to-right)
To simplify a given problem we need to use the BODMAS rule.
Rule:
B→ Brackets first
O→ Orders (i.e. Powers and Square Roots, etc.)
DM→ Division and Multiplication (left-to-right)
AS→ Addition and Subtraction (left-to-right)
First we consider the division from left to right.
Secondly we proceed for multiplication from left to right. Then we consider the addition from left to right. After that subtractions are considered to get the result from left to right.
Complete step-by-step answer:
We need to simplify the given problem, \[39 - 18 \div 3 + 2 \times 3\].
To simplify the given problem we need to use the BODMAS rule.
Rule:
B→ Brackets first
O→ Orders (i.e. Powers and Square Roots, etc.)
DM→ Division and Multiplication (left-to-right)
AS→ Addition and Subtraction (left-to-right)
We know, in the BODMAS rule we need to first operate the division from left to right.
Thus we get,
\[ \Rightarrow 39 - 18 \div 3 + 2 \times 3 = 39 - 6 + 2 \times 3\]
Secondly we need to operate the multiplication from left to right.
Operating multiplication we get,
\[ \Rightarrow 39 - 6 + 2 \times 3 = 39 - 6 + 6\]
Then we operate addition from left to right we get,
\[ \Rightarrow 39 - 6 + 6 = 39\]
Hence we get after simplification,
\[\therefore 39 - 18 \div 3 + 2 \times 3 = 39\]
Note: Number (plural numbers) (countable) an abstract entity used to describe quantity.
"Operations" mean things like add, subtract, multiply, divide, squaring, etc. If it isn't a number it is probably an operation.
Calculate them in the wrong order, and you can get a wrong answer.
Rule:
B→ Brackets first
O→ Orders (i.e. Powers and Square Roots, etc.)
DM→ Division and Multiplication (left-to-right)
AS→ Addition and Subtraction (left-to-right)
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