Standard Form

Question 1

How do you work out the standard form of a number?

Answer 1

Move the decimal until there is only one number infront of it

Question 2

EXAMPLE:

Answer 2

7200000

7.2 x 10⁶

Question 3

How do you multiply standard form?

Answer 3

1. Multiply the numbers at the start
2. Add the powers together
3. Combine the terms

Question 4

EXAMPLE:

Answer 4

(2 x 10⁻³) x ( 3 x 10⁷)

1. 2 x 3 = 6
2. 10⁻³ x 10⁷ =10⁻³⁺⁷ = 10⁴
3. 6 x 10⁴

(2 x 10⁻³) x ( 3 x 10⁷) = 6 x 10⁴

Question 5

How do you divide standard form?

Answer 5

1. Divide the numbers at the start
2. Subtract the powers
3. Combine the terms

Question 6

EXAMPLE:

Answer 6

(6 x 10⁸) / (2 x 10⁴)

1. 6 / 2 =3
2. 108 /104 = 108-4 = 104
3. 3 x 104

(6 x 10⁸) / (2 x 10⁴) =

Question 7

What is standard form?

Answer 7

A way to write big & small numbers

Question 8

What do the indices tell you?

Answer 8

The number of places to move the decimal

Question 9

EXAMPLE:

3.7 x 10³

Answer 9

10³ = Move 3 places to the right

3.7 —> 3700

Question 10

How do you know whether to move the decimals to the right or the left?

Answer 10

If the indices are:
Positive + = move to the right
Negative - = Move to the left

Question 11

How do you add or subtract standard form?

Answer 11

1. write the numbers normally
2. add or subtract
3. change back to standard form

Question 12

EXAMPLE:

5.3 x 10⁶) + (5.3 x 10⁶

Answer 12

1. 5,300,000 + 5,300,00
2. = 10,600,000
3. 1.06 x 10⁷