Question

What is the value of \[7.86 \cdot 4.6\] ?

Answer 1

Hint: One of the four fundamental arithmetic operations is multiplication. Addition, subtraction, and division are the others. The result of a multiplication operation is a product. The cross symbol \[\left( \times \right)\] , the midline dot operator \[\left( \cdot \right)\] , juxtaposition, or, on computers, an asterisk \[\left( * \right)\] are all common symbols for it.

Complete step-by-step solution:
While multiplying decimal numbers, ignore the decimal points and multiply them as usual.
That is, take \[7.86\] as \[786\] and \[4.6\] as \[46\] .
Then we have to solve \[786 \times 46\].
\[
  00786 \times \\
  \underline {00046} \\
  04716 \\
  \underline {31440} \\
  36156 \\
 \]
We got, \[786 \times 46 = 36156\]
We have to add the decimal points to the answer, which will have the same number of decimal places as the original numbers.
To put it another way, count how many numbers are after the decimal point in each of the numbers you are multiplying, and the result should have the same number of digits after the decimal point.
That is, \[7.86\] has \[2\] decimal points and \[4.6\] has \[1\] decimal points.
So, the answer should have \[3\] decimal points. When we put the decimal in the solution, we have to move it from the right side to the left side or from the end.
That is, \[7.86 \times 4.6 = 36.156\] .
The answer is \[36.156\] .
Additional Information:
The "factors" are the numbers that need to be multiplied. The "multiplicand" is the number to be multiplied, and the "multiplier" is the number by which it is multiplied. The distinction between "multiplicand" and "multiplier" is only useful at a very basic level and in some multiplication algorithms since the outcome of multiplication does not depend on the order of the variables.

Note: It is important to remember that the answer should have the same number of decimal places as multiplying numbers. Don’t forget to put the decimal points once we finish the calculation part.