Find 6.3 × 10⁻⁵ ÷ 9 × 10⁻³. Write your answer in scientific notation.
× 10
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Find 6.3 × 10⁻⁵ ÷ 9 × 10⁻³. Write your answer in scientific notation.
× 10
To solve the problem (6.3 times 10^{-5} div 9 times 10^{-3}), we can break it down into two parts: the coefficients and the powers of ten.
1. Divide the coefficients:
[
frac{6.3}{9} approx 0.7
]
2. Subtract the exponents (since we’re dividing, we subtract the exponent of the denominator from the exponent of the numerator):
[
10^{-5} div 10^{-3} = 10^{-5 – (-3)} = 10^{-5 + 3} = 10^{-2}
]
3. Combine the results:
[
0.7 times 10^{-2}
]
Now we need to express (0.7) in scientific notation. This can be rewritten as:
[
7.0 times 10^{-1}
]
So when we combine it back with (10^{-2}):
[
7.0 times 10^{-1} times 10^{-2} = 7.0 times 10^{-1 – 2} = 7.0 times 10^{-3}
]
Thus, the final answer in scientific notation is:
[
mathbf{7.0 times 10^{-3}}
]