Question

Math

Posted 3 days ago

```
Use a calculator to work out
$\frac{4.67 \times 10^{-5} \times 6.98 \times 10^{12}}{5.04 \times 10^{3}}$
Give your answer in standard form to 3 significant figures.
```

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Answer from Sia

Posted 3 days ago

Solution by Steps

step 1

We start with the expression:

```
$\frac{4.67 \times 10^{-5} \times 6.98 \times 10^{12}}{5.04 \times 10^{3}}$
```

step 2

Calculating the numerator:

```
$4.67 \times 10^{-5} \times 6.98 \times 10^{12} = 3.25846 \times 10^{8}$
```

step 3

Now, we divide by the denominator:

```
$\frac{3.25846 \times 10^{8}}{5.04 \times 10^{3}} = 6.46 \times 10^{4}$
```

step 4

Converting to standard form to 3 significant figures:

```
$6.46 \times 10^{4}$
```

Answer

$6.46 \times 10^{4}$

Key Concept

Standard form and significant figures

Explanation

The answer is expressed in standard form, which is a way of writing numbers that are too big or too small in a compact form, and it is rounded to three significant figures as requested.

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