Question

Solve the following: $ 2.3 \div 100 $ .
Answer is $ 0.023 $
Is the given answer:
(A) True
(B) False

Answer 1

Hint: The given question requires us to perform a division and report its correct answer. So, we have to divide $ 2.3 $ by $ 100 $ . The supposed answer for the question is given to us as $ 0.023 $ . Now, we have to judge whether the answer given to us in the question for the problem provided to us is correct or not.
We first form the division with the numbers alongside their respective positions. We assume the value of the quotient as a variable and form the division. We convert the decimal into its fraction form. The division changes into multiplication because of the faction. Then from the multiplication we get the value of the quotient.

Complete step-by-step answer:
So, we have, $ 2.3 \div 100 $
Therefore, we have to find the quotient value for the division of $ 2.3 $ by $ 100 $ .
So, here in this case, $ 2.3 $ works as the dividend and the $ 100 $ works as a divisor.
Let us assume the quotient will be x. Then, we can form the equation as $ x = \dfrac{{2.3}}{{100}} $ .
Now, we can convert this fraction form into its decimal form by carrying out the indicated operation and dividing the dividend by the divisor.
We know that while dividing by powers of ten is really easy and can be done with the help of a method. So, we are dividing by any power of ten, we just have to place a decimal point before the same number of digits as the number of zeroes in the power of ten given to us in the question.
So, we have to divide $ 2.3 $ by $ 100 $ . Hence, we have to place the decimal point before two places as there are two zeros in a hundred.
So, we get, $ 0.023 $ as the answer for the division of $ 2.3 \div 100 $ .
Hence, the answer given to us in the question itself is true.
So, the correct answer is “True”.

Note: There is a proper sequence of doing the operations in mathematics subject and all the operations should be followed in that sequence only because if done in an improper way, the answer comes out to be incorrect. So, one should follow the BODMAS acronym for the sequence of operations in arithmetic: Bracket, Division, Multiplication, Addition and Subtraction.