Honors Physics: Unit 1

Scientific notation expresses very large or very small numbers in the format ______.

M \times 10^n

In scientific notation, M must be a number greater than or equal to __________ and less than ________.

1; 10

When converting to scientific notation, if you move the decimal point to the left, the exponent n is ________.

positive

When converting to scientific notation, if you move the decimal point to the right, the exponent n is ________.

negative

To convert the number $123,000$ to scientific notation, it becomes ________.

$$1.23 \times 10^5$$

The scientific notation of $0.000045$ is ________.

$$4.5 \times 10^{-5}$$

To convert from scientific notation, if $n$ is positive, you move the decimal point ________.

$n$ places to the right

To convert from scientific notation, if $n$ is negative, you move the decimal point ________.

$n$ places to the left

$6.02 \times 10^{23}$ converts to ______ in standard notation.

$$602,000,000,000,000,000,000,000$$

The metric prefix kilo- represents ______ times the base unit.

$$10^3$$

The factor label method is used to convert units using ________.

conversion factors

In the factor label method, you should ensure units cancel ________.

diagonally

To convert $2.5 \text{ meters}$ to $centimeters$, you use the conversion factor ________.

$$100 \text{ cm}/1 \text{ m}$$

Significant figures indicate the ______ of a measurement.

precision

Trailing zeros in a decimal number are always ________.

significant

Leading zeros in a decimal number are ________ as they are placeholders.

not significant

Exact numbers have ______ number of significant figures.

an infinite

In addition and subtraction, the result must have the same number of _______ as the measurement with the fewest decimal places.

decimal places

In multiplication and division, the result must have the same number of ________ as the measurement with the fewest significant figures.

significant figures