Question

What is 713.49 written in standard form and can I get an explanation please?

Answer 1

Answer:

The number in its standard form is $7.1349 \times10^2$

Step-by-step explanation:

The standard form of a number is just a simplified way of writing numbers {especially large ones} that has been agreed on by mathematicians all over the world.

To write a number in standard form we need to first of all check this:

1. Is the number greater than zero or not?

In our problem, 713.49 is clearly greater than zero so we can move on to the next step.

2. The next step is to make sure that we move the decimal point to a position where it will make the value of the number less than 10.

We can do this by moving the decimal point two times to the left. This makes the number 7.1349 which is less than 10.

3. The final step is to count the number of times that you moved the decimal point to make the number less than 10.

In our case, it is 2 times. We then use this number as the power.

Thus the answer will be $7.1349 \times10^2$