How to simplify $6.2 \times 10^{3} + 4.5 \times 10^{2}$ $6.2 times 10^3 + 4.5 times 10^2$ in scientific notation?

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How to simplify $6.2 \times 10^{3} + 4.5 \times 10^{2}$ $6.2 times 10^3 + 4.5 times 10^2$ in scientific notation?

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Answer 1 · 2015-11-10T14:35:54

$6.2 \times 10^{3} + 4.5 \times 10^{2}$ $6.2 xx 10^3 + 4.5 xx 10^2$
$= 62 \times 10^{2} + 4.5 \times 10^{2}$ $=62 xx 10^2 + 4.5 xx 10^2$
$= 66.5 \times 10^{2}$ $=66.5 xx 10^2$
$= 6.65 \times 10^{3}$ $=6.65 xx 10^3$

Explanation:

Before adding, make sure that the scientific notations have the same exponents. Therefore you need to change either of the notations. As a sample, change $6.2 \times 10^{3}$ $6.2 xx 10^3$ to $(\times 10^{2})$ $( xx 10^2)$ . Moving the decimal point one place to the right corresponds to -1 exponent, making it $62 \times 10^{2}$ $62 xx 10^2$ . Now add the initial numbers or coefficients (M) and affix the base which is $10^{2}$ $10^2$ . Then,change the scientific notation into its standard form using the General Formula: $1 \leq M < 10$ $1<=M<10$ , therefore the final answer is $6.65 \times 10^{3}$ $6.65 xx 10^3$ .

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How to simplify $6.2 \times 10^{3} + 4.5 \times 10^{2}$ $6.2 times 10^3 + 4.5 times 10^2$ in scientific notation?

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Explanation:

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How to simplify $6.2 \times 10^{3} + 4.5 \times 10^{2}$ $6.2 times 10^3 + 4.5 times 10^2$ in scientific notation?