Q5. Write the scientific notation below as a standard decimal notation or ordinary number.

[tex]\[
(3 \times 10^9) \times (4 \times 10^3)
\][/tex]



Answer :

To convert the given scientific notation to standard decimal notation, we can follow these simple steps:

1. Multiply the coefficients: First, we need to multiply the base numbers (the coefficients) together. In this case, the base numbers are 3 and 4.

[tex]\[ 3 \times 4 = 12 \][/tex]

2. Add the exponents: Next, we add the exponents of the 10s together. The exponents given are 9 and 3.

[tex]\[ 10^9 \times 10^3 = 10^{9 + 3} = 10^{12} \][/tex]

3. Combine the results: Now, we combine the coefficient and the exponent to get the final number in scientific notation.

[tex]\[ 12 \times 10^{12} \][/tex]

4. Convert to standard decimal notation: Finally, to convert the scientific notation to standard decimal notation, we move the decimal point 12 places to the right (since the exponent is 12).

[tex]\[ 12 \times 10^{12} = 12,000,000,000,000 \][/tex]

Thus, the expression [tex]\(\left(3 \times 10^9\right) \times \left(4 \times 10^3\right)\)[/tex] in standard decimal notation is:

[tex]\[ 12,000,000,000,000 \][/tex]