Question

Find the value of the following.
$$3845 \times 5 \times 782 + 769 \times 25 \times 218$$.

Answer 1

Hint: Here in this question, we have to simplify the given terms. The question contains more than one arithmetic operation so we use the BODMAS rule. It is abbreviated as Brackets Of Division Multiplication Addition Subtraction. By applying the rule, we obtain the result.

Complete step-by-step answer:
Generally, we have 4 types of arithmetic operations namely
Addition (+) which adds the numbers.
Subtraction (-) which subtracts the numbers.
Multiplication ($$ \times $$) which multiplies the numbers.
Division ($$ \div $$) which divides the numbers.
To solve the above question, we follow the BODMAS rule and it is abbreviated as Brackets Of Division Multiplication Addition Subtraction. Here “of” signifies the operation multiplication. If we have “of” in the question we have to multiply, so any sums on simplification must be solved in that order.
We have to know about the sign conventions
$$ + \,\, \times \,\, + \,\, = \,\, + $$
$$ - \,\, \times \,\, - \,\, = \,\, + $$
$$ + \,\, \times \,\, - \,\, = \,\, - $$
$$ - \,\, \times \,\, + \,\, = \,\, - $$
Now we consider the given question
$$3845 \times 5 \times 782 + 769 \times 25 \times 218$$
First, perform the multiplication operation, then we get
$$ \Rightarrow 19225 \times 782 + 769 \times 5450$$
Again, on multiplication operation, we have
$$ \Rightarrow 15033950 + 4191050$$
On subtracting the above two number, then we get
$$ \Rightarrow 19225000$$
Hence, the value of $$3845 \times 5 \times 782 + 769 \times 25 \times 218$$ equals $$19225000$$.
So, the correct answer is “$$19225000$$”.

Note: Candidates must know about the arithmetic operations and tables of multiplication plays an important role in solving these types of questions. BODMAS rule is applied where the question involves more than one arithmetic operation. If we simplify randomly we don’t obtain the correct solution.