simplify (14.1×10^5) - (2.9×10^5). write your answer in scientific notation.\n(14.1×10^5) - (2.9×10^5) =…

simplify (14.1×10^5) - (2.9×10^5). write your answer in scientific notation.\n(14.1×10^5) - (2.9×10^5) = \n(use scientific notation. use the multiplication symbol in the math palette as needed.)

simplify (14.1×10^5) - (2.9×10^5). write your answer in scientific notation.\n(14.1×10^5) - (2.9×10^5) = \n(use scientific notation. use the multiplication symbol in the math palette as needed.)

Answer

Explanation:

Step1: Factor out $10^{5}$

$(14.1 - 2.9)\times10^{5}$

Step2: Calculate the subtraction in parentheses

$11.2\times10^{5}$

Step3: Adjust to proper scientific - notation

Since in scientific notation the coefficient should be between 1 and 10, we rewrite $11.2$ as $1.12\times10^{1}$. Then $11.2\times10^{5}=(1.12\times10^{1})\times10^{5}$.

Step4: Use the exponent rule $a^{m}\times a^{n}=a^{m + n}$

$1.12\times10^{1 + 5}=1.12\times10^{6}$

Answer:

$1.12\times10^{6}$