Number Toolkit (DP IB Analysis & Approaches (AA))

Standard form lets us represent very large or very small numbers in a concise and manageable way using powers of 10. This means we can write them more neatly, compare them more easily, and carry out calculations more efficiently.

False.

In standard form, numbers are always written in the form , where (not ) and is an integer.

In standard form, the value of a must be greater than or equal to 1 and less than 10 .

True.

There is always one (and only one) non – zero digit before the decimal point in a standard form number.

On a calculator display, means in standard form.

(Some calculators use that form of notation instead of the usual standard form notation.)

True.

Scientific notation is another term for standard form.

False.

The exponent k in standard form can be positive, negative, or zero.

An exponent is a power that a number (called the base) is raised to.

Any non-zero number raised to the power of 0 is equal to 1.

E.g. 2⁰ = 1.

False.

Any number raised to the power 1 is just itself.

E.g. .

If you raise a non-zero number to the power of -1 you get the reciprocal of the number.

E.g. .