NAME:_______________________________________________
IB Math Studies Y1 – Lesson 1-5 Operations with Scientific Notation CLASSWORK
DATE:_________
PERIOD:_______
Lesson 1-5: Operations with Scientific Notation
Learning Goals:
#1: How do we perform operations using scientific notation?
SCIENTIFIC NOTATION REVIEW
1. Write each as a decimal in standard form:
i.
The estimated population of the world in the year 2010 is
ii.
80 gsm photocopy paper has a thickness of
iii.
A small virus has greatest width of
mm.
iv.
The diameter of the Milky Way is
light years.
people.
metres.
2. Express the following in scientific notation:
i.
A dust particle is about
mm across.
ii.
The distance from the Earth to the Sun averages about
iii.
The temperature of the sun is about 8.3 million degrees Celsius.
iv.
Each minute, about 3000000000 cells in the human body die.
v.
The mass of a paper clip is 0.000812 kg.
3. Which is the best example of a number written in scientific notation?
(A)
(C)
(B)
(D)
4. Write
in standard form.
(A)
(C)
(B)
(D)
m.
OPERATIONS with SCIENTIFIC NOTATION



When performing operations with scientific notation (addition, subtraction, multiplication
division), the use of your calculator can be very helpful.
Make sure you use parenthesis when entering the problems into your calculator! (Parentheses
are necessary when dealing with operations due to PEMDAS)
Remember that your calculator writes scientific notation differently. Translate the answer to
correct form required by the question.
k
MODEL PROBLEM 1: Use your GDC to calculate the following. Give each answer in the form a x 10 where
1 ≤ a < 10 and k is an integer
a) (
)
(
b) (
)
c)
d) (
)
e) √
f) (
)
MODEL PROBLEM 2: Given
)
(
)
(
)
77.2  33
.
3.60  2 2
(a)
Write down the exact value of the expression above.
(b)
Express your answer to part (a) in the form a  10k, where 1  a  10 and k
(c)
Give your answer to part (b) correct to 3 significant figures.
.
MODEL PROBLEM 3: Let m = 7.23 ×108 and n = 5.91 ×10–2.
Express each of the following in the form a ×10k, where 1 ≤ a < 10 and k 
(a)
mn;
(b)
m
;
n
(c)
;
(d)
m + n;
(e)
;
(f)
;
(g)
2(m + n);
(e)
;
.
MODEL PROBLEM 4: A rectangle has length 2.6 × 104 and width 1.9 × 104.
Find each of the following, giving your answer in the form a × 10k, where 1  a < 10 and k 
(a)
The area of the rectangle;
(b)
The perimeter of the rectangle.
PRACTICE: Let x = 7.94.
2 x 1
.
x3
(a)
Calculate the value of
(b)
Give your answer correct to three decimal places.
(c)
Give your answer to part (b) min the form a × 10k, where 1 a 10, k 
.
.