The approximate areas of Arizona
and Indiana are listed below:
Arizona: 2.95 x 105
square miles
Indiana: 9.43 x 104
square miles
Which state has the larger area?
N. They are equal
O. Arizona
P. Indiana
O. Arizona
Explain: When comparing numbers in
scientific notation you must
compare both the coefficient (the number in front) and the exponent (the power of 10). In this case, the coefficient for Arizona is 2.95, while the coefficient for Indiana is 9.43. Since 9.43 is larger than 2.95, it means that Indiana has a larger area.
What is the product of 7.67 x 109
and
5.9 x 10−6
expressed in scientific
notation?
S. 1.3 x 103
T. 4.5253 x 103
U. 4.5253 x 104
To calculate the product of two numbers in scientific notation, you multiply the coefficients and add the exponents.
In this case, the product of 7.67 x 10^9 and 5.9 x 10^-6 can be calculated as follows:
(7.67 x 5.9) x (10^9 x 10^-6) = 45.353 x 10^3
To express the result in scientific notation, we can write it as 4.5353 x 10^4.
Therefore, the correct answer is U. 4.5253 x 10^4.
12. The measures of the angles of a
triangle are shown in the figure
below. Solve for x.
M. x = 48°
N. x = 42°
O. x = 222°