Chapter 1:Numbers, 1.4:Standard Form

What is standard form?

A way of writing very large or very small numbers as a × 10ⁿ

What is the general form of standard form?

a × 10ⁿ

What must a be in standard form?

1 ≤ a < 10

What can n be?

Any integer

What power of 10 is used for large numbers?

A positive power

What power of 10 is used for small numbers?

A negative power

How do you convert a large number into standard form?

Move the decimal point left until there is one non-zero digit before it; the number of places moved is the positive power

How do you convert a small number into standard form?

Move the decimal point right until there is one non-zero digit before it; the number of places moved is the negative power

How do you change standard form with a positive power back to an ordinary number?

Move the decimal point right

How do you change standard form with a negative power back to an ordinary number?

Move the decimal point left

How do you multiply numbers in standard form?

Multiply the numbers in front and add the powers

How do you divide numbers in standard form?

Divide the numbers in front and subtract the powers

What must you do if the answer is not between 1 and 10?

Convert it back into standard form

Can you simply add or subtract the powers when adding or subtracting standard form?

No

How do you add or subtract numbers in standard form?

Make the powers of 10 the same