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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