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alexandr1967 [171]
3 years ago
7

Approximately how many times greater is 6 x 10^-5 than 5 x 10^-9

Mathematics
1 answer:
8_murik_8 [283]3 years ago
8 0

Answer: 6 \times 10^{-5} is 1.2 \times 10^4. times greater than 5 \times 10^{-9}.


Step-by-step explanation:

We are given two numbers.

First number  : 6 \times 10^{-5}.

Second number : 5 \times 10^{-9}.

In order to find how many times   6 \times 10^{-5} is greater than 5 \times 10^{-9}, we need to divide first number by second number.

Therefore,

6 \times 10^{-5} ÷ 5 \times 10^{-9}

or \frac{6 \times 10^{-5}}{5 \times 10^{-9}}

First we would divide 6 by 5.

On dividing 6 by 5, we get 1.2.

Now, we would divide 10^-5 by 10^-9.

In order to divide them, we can apply quotient rule of exponents \frac{a^m}{a^n} =a^{m-n}.

We get

\frac{10^{-5}}{10^{-9}}  = 10^{-5-(-9)} = 10^{-5+9} = 10^4.

Therefore,

\frac{6 \times 10^{-5}}{5 \times 10^{-9}} = 1.2 \times 10^4.

So, we could say finally 6 \times 10^{-5} is 1.2 \times 10^4. times greater than 5 \times 10^{-9}.

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