please see star to answer all questions must show work and please be very thorough in your findings.
Show all steps taken to reach to your final answer.
Show all steps taken to reach to your final answer. Merely writing an answer will not get full credit!
1) Evaluate the following expressions, without using a calculator:
a) 10· 10b) (0.001)
c) · d) (8 ) · 2
2) Evaluate, expressing your answers in scientific notation:
a) (9.3×10 )÷(3×10) b) (4×10 )−(5×10 )
3) Simplify the following expressions as far as possible, without using a calculator:
a) √
b) √25 · √5
c)
4) Write the following numbers in scientific notation:
√
d) √
(a) 451.756 (b) 1.228 (c) 0.0006195 (d) 0.214
5) Write the following numbers in their full forms:
4 −3 −1 2
(a) 8.69 × 10 (b) 9.14 × 10 (c) 8.82 × 10 (d) 4.76 × 10
6) (a) How many seconds are there in a year? (b)How many nanoseconds are there in a year?
(c)How many years are there in a second?
7) The age of the universe is thought to be about 14 billion years. Assuming two significant figures,
write this in scientific notation in: (a) years, and (b) seconds
8) A man earns $560 in a 5-day period. What is his pay for only 3 of those days?
9) A wire 11 cm long has a mass of 121 grams. What is the mass of 7 cm of this wire?
10) Three men build a wall in 10 days. How long would five men take to build the same wall?
11) A ship has sufficient food to supply 600 passengers for 3 weeks. How long would the supply last
for 800 people?
12) A wheel turns through 90 rotations per minute. (a) How many rotations does it make in an
hour? (b) How many degrees does it turn through in one second?
13) Solve for the value(s) of in the following equations:
(a) ( −1)− ( +1)= 0 (c) =
(b) −=0 (d)−=
14) Solve the pair of simultaneous equations for the value of and :
2x + 3y =29
5x – 2y = 6
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