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1.81*10^(3)
Answer:

2.005 ×10^(5)-8.664 ×10^(2)

$1.81 \cdot 10^{3}$ $\newline$ Answer: $\newline$ $2.005 \times 10^{5}-8.664 \times 10^{2}$

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Divide numbers written in scientific notation

Full solution

Q.

1.81 \cdot 10^{3}

\newline

Answer:

\newline

2.005 \times 10^{5}-8.664 \times 10^{2}

Align Powers of $10$ : First, let's align the powers of $10$ so we can subtract easily. $\newline$ $1.81\times10^{3}$ is already in the form we need, but we need to convert $8.664 \times10^{2}$ to $10^{3}$ . $\newline$ To do this, we multiply $8.664$ by $10$ to match the power of $10^{3}$ . $\newline$ $8.664 \times10^{2} \times 10 = 86.64 \times10^{3}$
Subtract Numbers: Now we have: $\newline$ $1.81\times10^{3}$ and $86.64 \times10^{3}$ $\newline$ We can subtract these two because they have the same power of $10$ . $\newline$ $1.81\times10^{3} - 86.64 \times10^{3} = (1.81 - 86.64) \times10^{3}$
Convert to Same Power: Calculating the difference: $\newline$ $1.81 - 86.64 = -84.83$ $\newline$ So we have $-84.83 \times 10^{3}$
Subtract from Larger Number: Now we need to subtract this from $2.005 \times 10^{5}$ . We can't subtract directly because the powers of $10$ are different. We need to convert $-84.83 \times 10^{3}$ to the power of $10^{5}$ . To do this, we divide $-84.83$ by $100$ to match the power of $10^{5}$ . $-84.83 \times 10^{3} / 100 = -0.8483 \times 10^{5}$
Final Subtraction: Finally, we subtract $-0.8483 \times10^{5}$ from $2.005 \times10^{5}$ . $\newline$ $2.005 \times10^{5} - (-0.8483 \times10^{5}) = (2.005 + 0.8483) \times10^{5}$
Final Subtraction: Finally, we subtract $-0.8483 \times10^{5}$ from $2.005 \times10^{5}$ . $\newline$ $2.005 \times10^{5} - (-0.8483 \times10^{5}) = (2.005 + 0.8483) \times10^{5}$ Calculating the sum: $\newline$ $2.005 + 0.8483 = 2.8533$ $\newline$ So we have $2.8533 \times10^{5}$

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