If a number in powers-of-ten notation is written as just the number 10 and the exponent, what is assumed to be part of the number?
a. Nothing.
b. The number 1 multiplied by 10 to the exponential power.
c. The number 10 multiplied by 10 to the exponential power.
d. The minus sign for the case of a negative number.
e. Some unknown number to multiply times 10 to the exponential power.
[Ques. 2] To multiply two powers of ten:
a. multiply the exponents.
b. add the exponents.
c. multiply the numbers and add the exponents.
d. multiply the exponents and add the numbers.
e. multiply the numbers and subtract the exponents.
[Ques. 3] The distance from Earth to the Sun is about 93 million miles. How many times this distance is the size of the Milky Way galaxy?
a. Roughly 10 million times.
b. Roughly 10 thousand times.
c. Roughly 10 billion times.
d. Roughly 100 billion times.
[Ques. 4] What is the approximate diameter of Earth in miles given the information provided in the figure caption: Earth spills over the edges of this photograph at a scale of 107 meters?
a. 10,000 mi
b. 6,000 mi
c. 3,000 mi
d. 1,000 mi
[Ques. 5] The range from the size of protons and neutrons to the size of the visible universe is:
a. 100.
b. 10-41.
c. 1041.
d. 104.
e. 10-4.
[Ques. 6] Which is the middle number in this list?
a. 10
b. 100
c. 10-1
d. 1010
e. 102
[Ques. 7] The order of magnitude of a quantity is:
a. a law of physics it obeys.
b. the direction of a vector describing it.
c. the speed of the object.
d. the value of a quantity rounded to the nearest power of ten.
e. the direction of the quantity.
[Ques. 8] When using powers-of-ten notation:
a. positive and negative exponents both indicate large numbers.
b. positive and negative exponents both indicate small numbers.
c. positive exponents indicate large numbers and negative exponents indicate small numbers.
d. positive exponents indicate small numbers and negative exponents indicate large numbers.
e. negative exponents indicate large numbers.
[Ques. 9] An exponent, such as the 4 in the expression 94, means:
a. the number of times the number before the exponent is multiplied by 10 (9 10 10 10 10).
b. the number of times the number before the exponent is multiplied by itself (9 9 9 9).
c. the number to multiply the first number by (9 4).
d. the number of times the digit is written (9999).
e. the number to add to the first number (9 + 4).
[Ques. 10] Which of these equalities is correct?
a. kilo = 103
b. mega = 104
c. pico = 1012
d. milli = centi
e. centi = 10-4
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