Deck 1: Computation

Question 1

Simplify each expression, first as a base to a single power, then, if possible, as a decimal.

Answer 1

Question 2

Write each decimal number in scientific notation.
3,,234 005

Answer 2

Question 3

Use your calculator to evaluate the following expressions. If the value is not exact, round
your answer to four decimal places.

Answer 3

Question 4

Write the following expressions so that no answer includes negative exponents. Assume the
variables are nonzero.

Question 5

Write the following expressions so that no answer includes negative exponents. Assume the
variables are nonzero.

Question 6

Simplify the following and write your answers in scientific notation.

Question 7

Simplify each expression, first as a base to a single power, then, if possible, as a decimal.

Question 8

How any hundreds, tens, and ones are in the following sum?

Question 9

Write the following expressions so that no answer includes negative exponents. Assume the
variables are nonzero.

Question 10

Simplify each expression, first as a base to a single power, then, if possible, as a decimal.

Question 11

Write the following expressions so that no answer includes negative exponents. Assume the
variables are nonzero.

Question 12

Simplify the following and write your answers in scientific notation.

Question 13

Write the following expressions so that no answer includes negative exponents. Assume the
variables are nonzero.

Question 14

Write each decimal number in scientific notation.
0.0021055

Question 15

Convert each number into decimal notation.

Question 16

Convert each number into decimal notation.

Question 17

Use your calculator to evaluate the following expressions. If the value is not exact, round
your answer to four decimal places.

Question 18

Use your calculator to evaluate the following expressions. If the value is not exact, round
your answer to four decimal places.

Question 19

Write in exponential form.
ccccc⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅dddddddddd

Question 20

Write the following expressions so that no answer includes negative exponents. Assume the
variables are nonzero.

Question 21

Write each decimal number in scientific notation.
0.9992

Question 22

Simplify each expression, first as a base to a single power, then, if possible, as a decimal.

Question 23

Determine the number of significant digits.
7,,998 540

Question 24

Simplify each expression, first as a base to a single power, then, if possible, as a decimal.

Question 25

Write the following expressions so that no answer includes negative exponents.
Assume the variables are nonzero.

Question 26

Use your calculator to evaluate the following expressions. If the value is not exact, round
your answer to four decimal places.

Question 27

Use your calculator to evaluate the following expressions. If the value is not exact, round
your answer to four decimal places.

Question 28

Determine the number of significant digits.
0.0841

Question 29

Write each decimal number in scientific notation.
850.23

Question 30

Write the following expressions so that no answer includes negative exponents.
Assume the variables are nonzero.

Question 31

Use dimensional analysis to answer the following.
How many hundreds, tens, and ones are in the following sum?

Question 32

Simplify the following and write your answers in scientific notation.
Find the mean of the following set of data. 21.11.26 sec 11.23 sec 11.30 sec 11.29 sec AE: ___________
Assume the data above is used to predict the average time RE: ___________it takes a runner to run the 100-m dash. Use the mean from
the data set to compute the absolute error and relative error
if the actual time to run the 100 meters is 11.26 seconds.
Round to two decimal places if necessary.

Question 33

Use your calculator to evaluate the following expressions. If the value is not exact, round
your answer to four decimal places.

Question 34

Simplify each expression, first as a base to a single power, then, if possible, as a decimal.

Question 35

Write the following expressions so that no answer includes negative exponents.
Assume the variables are nonzero.

Question 36

Convert each number into decimal notation.

Question 37

Write the following expressions so that no answer includes negative exponents.
Assume the variables are nonzero.

Question 38

Write the following expressions so that no answer includes negative exponents.
Assume the variables are nonzero.

Question 39

Write the following expressions so that no answer includes negative exponents.
Assume the variables are nonzero.

Question 40

Use dimensional analysis to answer the following.
Write in exponential form.
ssssssssssss⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅ttttt

Question 41

Write the following expressions so that no answer includes negative exponents.
Assume the variables are nonzero.

Question 42

Simplify the following and write your answers in scientific notation.
Find the mean of the following set of data. 21.
60 61 62 59 63 61 AE: ___________
Assume the data above is used to predict the average RE: ___________
number of heartbeats per minute of a young man out for a stroll. Use the mean from the data set to compute
the absolute error and relative error if the actual number
of heartbeats per minute is 62. Round to two decimal
places if necessary.
Determine the number of significant digits.

Question 43

Simplify the following and write your answers in scientific notation.
1,000,000,001

Question 44

Simplify each expression, first as a base to a single power, then,
if possible, as a decimal.

Question 45

Write the following expressions so that no answer includes negative exponents.
Assume the variables are nonzero.

Question 46

Simplify the following and write your answers in scientific notation.

Question 47

Write the following expressions so that no answer includes negative exponents.
Assume the variables are nonzero.

Question 48

Use your calculator to evaluate the following expressions. If the value is
not exact, round your answer to four decimal places.

Question 49

Use dimensional analysis to answer the following.
How many hundreds, tens, and ones are in the following sum?
(a) 1; 4; 8
(b) 10; 4; 8
(c) 4; 8; 1
(d) 8; 4; 10
(e) None of these

Question 50

Simplify the following and write your answers in scientific notation.

Question 51

Use dimensional analysis to answer the following.
Write in exponential form. rrrrr⋅⋅⋅⋅⋅⋅⋅⋅⋅sssss⋅⋅⋅⋅⋅⋅⋅ttttttt

Question 52

Simplify each expression, first as a base to a single power, then,
if possible, as a decimal.

Question 53

Write the following expressions so that no answer includes negative exponents.
Assume the variables are nonzero.

Question 54

Use dimensional analysis to answer the following.
A leaky faucet wastes three quarts of water per day.
Assuming this loss rate doesn't change, approximately
how many gallons of water is wasted per year? There
are four quarts per gallon and about 365 days per year.

Question 55

Write the following expressions so that no answer includes negative exponents.
Assume the variables are nonzero.

Question 56

Write the following expressions so that no answer includes negative exponents.
Assume the variables are nonzero.

Question 57

Simplify the following and write your answers in scientific notation.
0.9093

Question 58

Simplify each expression, first as a base to a single power, then,
if possible, as a decimal.

Question 59

Use dimensional analysis to answer the following.
A student drove home after finals to visit his parents.
If it took him 3 hours to get home while traveling at
an average speed of how far is the student's
home from his college?

Question 60

Convert each number into decimal notation.

Question 61

Write each decimal number in scientific notation.
5,784,900,000

Question 62

Convert each number into decimal notation.

(a) 0.000000561
(b) 0.00000561
(c) 0.0000561
(d) 0.000561
(e) None of these

Question 63

Write each decimal number in scientific notation.
0.007048

Question 64

Convert each number into decimal notation.

Question 65

Use your calculator to evaluate the following expressions. If the value is
not exact, round your answer to four decimal places.

Question 66

Use your calculator to evaluate the following expressions. If the value is
not exact, round your answer to four decimal places.

Question 67

Simplify the following and write your answers in scientific notation.

Question 68

Determine the number of significant digits.
0.0040307
(a) 1
(b) 3
(c) 6
(d) 8
(e) None of these

Question 69

Simplify the following and write your answers in scientific notation.

Question 70

Determine the number of significant digits.
5,200,010
(a) 2
(b) 3
(c) 6
(d) 7
(e) None of these

Question 71

Use dimensional analysis to answer the following.
The winner of a drag race had a time of 4.52 seconds. The length of the track is one quarter mile. Find the approximate
Average speed of the winning car.

Question 72

Simplify the following and write your answers in scientific notation.
Find the mean of the following set of data. 21.1.24 min 1.22 min 1.21 min 1.25 min Assume the data above is used to predict the average time it takes a swimmer to complete two laps in a pool. Use the
Mean from the data set to compute the absolute error and
Relative error if the actual time it takes the swimmer to
Complete the two laps is 1.26 minutes. Round to two
Decimal places if necessary.
(a) Mean: 1.23 min; AE: 0.03 min; RE: ≈ 23.%8
(b) Mean: 1.23 min; AE: 0.03 min; RE: ≈ 11.%9
(c) Mean: 1.22 min; AE: 0.04 min; RE: ≈ 31.%7
(d) Mean: 1.24 min; AE: 0.02 min; RE: ≈ 15.%9
(e) None of these

Question 73

Use dimensional analysis to answer the following.
Assume that a man spends 20 minutes per day in the shower. Approximately how many hours does the man spend in the
Shower during his lifetime if his life expectancy is 84 years?
A year has about 365 days, and a day is about 24 hours.
(a) 170 hours
(b) 10,220 hours
(c) 1533 hours
(d) 613,200 hours
(e) None of these