Question

The scientific notation of \[923 \cdot 4\] is
A. $9.234 \times {10^{ - 2}}$
B. $9.234 \times {10^2}$
C. $9.234 \times {10^3}$
D. $9.234 \times {10^{ - 3}}$

Answer 1

Hint: In this question, we have to convert the given number into scientific notation for that we have to move the decimal to the left 2 times for that we will multiply and divide by 100.

Complete step-by-step solution:
Given \[923 \cdot 4\] to convert into scientific notation follow the steps:
923.4 can be written as \[\dfrac{{9234}}{{10}}\]
Now multiply and divide by 100, we get,
\[\dfrac{{9234}}{{1000}} \times 100\]
Now on further simplification we get,
\[9.234 \times 100\]
Now it can be written as,
\[9.234 \times {10^2}\]
Hence, option B$9.234 \times {10^2}$ is the correct answer.
Note: Rules of scientific notation:
To be proper scientific notation the number must be written with \[a \times {10^n}\]
1)A coefficient (a) must be a number between 1 and 10 and the exponent must be a power of 10.
2)Put the decimal after the first significant digit.
3)Shift the decimal to left if the algebraic sign is positive i.e. $123.00 = 1.23 \times {10^2}$
4)Shift the decimal to right if the algebraic sign is negative i.e. $0.00123 = 1.23 \times {10^{( - 3)}}$
Additional Information: It is a Fact-Based Question.