First number between 1 and less than 10. Power should be an integer

The rule when writing a number in standard form is that first, you write a number between 1 and 10, then you write × 10 (to the power of a number). Type in the first number (the one between 1 and 10). Press EXP. Type in the power to which the 10 has risen.

Hi Ella! To write numbers in standard form, we have to write it in the form of A x 10^n

So the 3 rules are as follows:

1. A must be 1 or more and less than 10.
2. A must be multiplied by 10 to the power of some number (n)
3. n must be a whole number

Here is an example: Write 3420 in standard form

• A = 3.42 because that is between 1 and 10
• Looking at our value for A we can work out what n must be. We want to go from 3.42 to 3420. Imagine 3420 is written as 3420.0. Look at where the decimal point is. Count how many times we move the decimal point to get from 3.42 to 3420.0
• This means that n is 3.
• Bring this all together and we have an answer of 3420 = 3.42 x 10^3

I hope this helps! :)

Firstly, convert the number to a decimal with only one number before the decimal point by dividing by 10 as many times as needed e.g.

2345 ÷ 10 = 234.5 ÷ 10 = 23.45 ÷ 10 = 2.345

We divided it by 10 three times to get our decimal.

Now we can write our standard form:

2.345 x 10 to the power of 3 (because we must multiply the decimal by 10 three times)

If we have a very small number, we multiply it to get a standard decimal e.g.

0.00071 x 10 = 0.0071 x 10 = 0.071 x 10 = 0.71 x 10 = 7.1

We multiplied by 10 four times.

When it comes to writing the number in standard form, we always use multiplication, so when we have multiplied to reach the decimal, we have to multiply it by a negative number:

7.1 x -10 to the power of 4

If written in the form M x 10^n, the 3 rules are:

1) YM must be between 1 and 10

2) standard form uses base 10, I.e. 10 to the power of something (n)

3) n must be a whole number.

Remember that numbers in standard form are written like this:

B x 10^c

B must be a number greater than 1 but less than 10. (E.g 4.5 is okay, 45 is not).

B must be multiplied by a power of 10.

very small numbers (0.0000004) would have a negative power of 10, whereas very large numbers (76300000000) would have a positive power of 10.

Standard form = a x 10^n

e.g. 5.2 x 10^2

1. a can be 1 or greater but less than 10 (and positive!)
2. n can be any number
3. Must include the base x10

1. standard form always use the base 10
2. the number you multiply by the 10^n must be between 1.0 and 10.0
3. the power to base 10 (n) must always be a whole number