Question

How do you express 56,700,000 in scientific notation?

Answer 1

`56,700,000=5.67xx10^7`

Explanation:

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of `10`.

Note that moving decimal `p` digits to right is equivalent to multiplying by `10^p` and moving decimal `q` digits to left is equivalent to dividing by `10^q`.

Hence, we should either divide the number by `10^p` i.e. multiply by `10^(-p)` (if moving decimal to right) or multiply the number by `10^q` (if moving decimal to left).

In other words, it is written as `axx10^n`, where `1<=a<10` and `n` is an integer.

To write `56,700,000` in scientific notation, we will have to move the decimal point seven points to the left, which literally means dividing by `10^7`.

Hence in scientific notation `56,700,000=5.67xx10^7` (note that as we have moved decimal seven points to the left we are multiplying by `10^7`.

Answer 2

A = `5.67 * 10^7`

Explanation:

Generally scientific notation is as follows:

Have a large integer `abc00000`
When we have scientific notation, we normally take the first digit of the integer, `a` and then place a decimal point then putting the digits `b` and `c`.

Furthermore, we then find out the total amount of digits need to create the number by using the following formula:

=

`"0m" + 2`

Where:

`"m"` = "amount of"

All the best!

Answer 3

`5.67*10^7`

Explanation:

The key realization is that when we write numbers in scientific notation, we want one digit before the decimal point.

In our case, we must loop it `7` times to the left. The number of times we loop it is our exponent, and looping left makes it positive. Thus, we have

`5.67*10^7`

Hope this helps!