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Zarrin [17]
3 years ago
11

Express the answer to 4.31x10^7 multiplied by 5.41x10^5 scientific notation.

Physics
1 answer:
I am Lyosha [343]3 years ago
7 0

Answer:

The product of the two numbers is 2.33* 10^13

Explanation:

Given

4.31x10⁷ and 5.41x10⁵

Required

Multiply

The multiplication of the two digits is represented as thus:

Result = 4.31 * 10^7 * 5.41 * 10^5

This can also be rewritten as

Result = 4.31 * 5.41 * 10^7 * 10^5

Multiply 4.31 and 5.41

Result = 23.3171 * 10^7 * 10^5

Apply laws of indices

Result = 23.3171 * 10^{7+5}

Result = 23.3171 * 10^{12}

The scientific notation is always in the form: a * 10^n

Where 1 \leq\ a \leq 10

So:

23.3171 can be rewritten as 2.33171 * 10

So, we have:

Result = 2.33171 * 10* 10^{12}

Also, apply law of indices again

Result = 2.33171 * 10^{1+12}

Result = 2.33171 * 10^{13}

It's always advisable (but not compulsory to approximate to 1 or 2 decimal places)

So:

Result = 2.33* 10^{13}

<em>Hence; the product of the two numbers is 2.33* 10^13</em>

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