#1
Which of the following numbers is written in scientific notation?
2.5 x 10^3
ExplanationScientific notation represents a number as the product of a coefficient and a power of 10.
#2
What is the result of converting 3.4 kilometers to meters?
3400 m
ExplanationTo convert from kilometers to meters, multiply by 1000.
#3
Which of the following is an example of a number with three significant figures?
1200
ExplanationNon-zero digits and zeros between them are significant; therefore, 1200 has three significant figures.
#4
How many milliliters are in 0.5 liters?
500 mL
ExplanationThere are 1000 milliliters in a liter, so 0.5 liters is equivalent to 500 milliliters.
#5
What is the result of (2.3 x 10^4) / (1.2 x 10^2)?
1.91 x 10^2
ExplanationWhen dividing in scientific notation, divide the coefficients and subtract the exponents.
#6
How many centimeters are in 1.5 meters?
150 cm
ExplanationThere are 100 centimeters in a meter, so 1.5 meters is equivalent to 150 centimeters.
#7
When performing calculations involving addition or subtraction with numbers in scientific notation, what must be done first?
Convert them to the same exponent
ExplanationTo add or subtract numbers in scientific notation, ensure the exponents are the same.
#8
In a calculation involving multiplication or division, how do you determine the number of significant figures in the result?
The result has the same number of significant figures as the number with the fewest significant figures in the calculation
ExplanationThe result of a calculation has the same number of significant figures as the measurement with the fewest significant figures.
#9
When performing calculations involving addition or subtraction with numbers in scientific notation, what should you ensure about the exponents?
They should be the same
ExplanationTo add or subtract numbers in scientific notation, ensure the exponents are the same.