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Write [tex]1.00 \times 10^{-10} \times 1.70 \times 10^{5}[/tex] in scientific notation.

a) [tex]1.70 \times 10^{-5}[/tex]
b) [tex]1.71 \times 10^{-5}[/tex]
c) [tex]1.70 \times 10^{-4}[/tex]
d) [tex]1.71 \times 10^{-4}[/tex]

Answer :

Final Answer:

The given expression, 1.00x10⁻¹â° x 1.70x10⁵, in scientific notation is 1.70x10⁻⁵.

Explanation:

To find the product of two numbers in scientific notation, we multiply their coefficients and add their exponents. So, 1.00x10⁻¹â° x 1.70x10⁵ becomes (1.00 * 1.70) x 10^(⁻¹â° + ⁵) = 1.70 x 10⁻⁵. Therefore, the answer is 1.70x10⁻⁵.

In the given expression, 1.00x10⁻¹â° x 1.70x10⁵, the coefficients are 1.00 and 1.70. Multiplying them gives us 1.70. The exponents in scientific notation are -10 and 5. Adding them gives us -10 + 5 = -5. Therefore, the product in scientific notation is 1.70x10⁻⁵.

In conclusion, when multiplying numbers in scientific notation, we multiply their coefficients and add their exponents to obtain the product in scientific notation. In this case, the product of 1.00x10⁻¹â° and 1.70x10⁵ is 1.70x10⁻⁵.

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Rewritten by : Jeany