STANDARD FORM

Question 1

What is the number in standard form between?

Answer 1

1-10

Question 2

What is it an easier alternative to?

Answer 2

Writing really big or small numbers
(Even though exams can still make you write them)

Question 3

3.54x10^3
Write as an ordinary number

Answer 3

3540

Question 4

Why is there only one 0 in the ordinary number
3540
When it was 3.54x10^3

Answer 4

Remove the decimal, but draw an imaginary integer line from the first digit to the second as 1 point.

Question 5

4.5x10^-5
As an ordinary number, please?

Answer 5

0.000045

Question 6

Why is 4.5x10^-5 as a ordinary number
0.000045?

Answer 6

Add the first two digits at the end, add the amount of numbers (the power) as 0’s in front (guards), then a dot, then a general 0 from another troop

Question 7

(3x10^5)x(2x10^6)
How do we solve it?

Answer 7

Multiply the front numbers,
Add the powers

=6x10^11

Question 8

Work out
(3x10^5) x (4x10^6)
And explain why this is not in standard form

Answer 8

3x4=12
5+6=11
12x10^11
The front number can only be between 1-10

Question 9

How do we convert
12x10^11

Answer 9

As it needs to be between 1-10, it can only be 1.2
To balance this downwards shift
We need an upwards shift at least on the powers, so
1.2x10^12

Question 10

When adding standard form, we have to make the powers the same
So if there is
3x10^5 + 2x10^6
How do we convert the 3x10^5 to get the power of 6?

Answer 10

Make 3 go down to 0.3, so we can shift the power up like before
0.3x10^6

Question 11

Once 0.3x10^6+2x10^6
What happens next

Answer 11

2+0.3=2.3
Keep the power

Question 12

Repeat the similar process for
3x10^8 - 2x10^7

Answer 12

2x10^7
Converts to
0.2x10^8

3x10^8 - 0.2 x10^8
3-0.2=2.8
2.8x10^8