Math 9
Unit 2: Rational #s & Number Systems Unit Assignment
2.1 Demonstrate an understanding of rational numbers by:
• comparing and ordering rational numbers
- Classify the following numbers by checking the boxes that apply. (7 marks)
N / W / I / Q / / R
10
-8
4.7
0
-3.72468…
2. Classify the following numbers as Rational (Q) or Irrational . (5 marks)
3. Perform the following calculations without a calculator then check your solutions. (4 marks)
a)b)c)
d)e)f)
g)h)
4.Circle the products that are negative. (4 marks)
5.Which expressions have the same answer as ? (3 marks)
6.Which operation would you do first in the following questions? Circle it – be very specific. (2 marks)
7. Use your rules for order of operations. (5 marks)
d)e)
8. Be sure to show your steps and watch your signs carefully. (10 marks)
a) b)
c) d)
e) f) g)
h) i) j)
9. Answer the following multiply choice question. (1 mark)
10. What rational numbers are represented by A and B on the number line. Give your answers in decimal
form and fraction form in the chart below. (2 marks)
A
B
11. Complete the chart. (4 marks)
Fraction / Decimal / Decimal to nearest tenth0.54
0.245
12.List the following numbers in order from smallest to largest. (2 marks)
a)= ______
b) – 0.333, = ______
13.A student converted 3.06 to an improper fraction in the form . If the denominator, b, is 50, what is the value of ? (1 mark)
14.Insert < , > , or = to make each expression true. (5 marks)
a)
b)
c)
d)
e)
15.Julia found $56 and put it in her purse which already contained $20. Later she spent one quarter of her money on lunch. How much money did she have left? (1 mark)
16.The river fishing season in Sacramento is 210 days long. When the season is over, how many days are left?(1 mark)
17.Jordan went to Edmonton with $88.00. She spent ¼ of her money on lunch. She spent 1/2 of her remaining money on a new video game. How much money did she have left? (1 mark)
18.The price of a share changed by -$1.38. Joe owns 230 shares. How much did his shares change in value? (hint: a positive answer means the value increased, a negative answer means the value decreased) (1 mark)
19.During a recent price war, gas prices dropped from 86.9 cents per litre to 59.5 cents per litre. If you bought 55 L of gas, how much did you save by filling up at the lower price? (1 mark)
20.A baseball pitcher’s batting average is 0.180. what is 0.180 expressed as a fraction in lowest terms? (1 mark)
21.Halley’s comet travels around the sun approximately once every 78 years. The first record of its appearance was in 467 B.C. How many times will the comet have appeared between 467 B.C and 2000 A.D.? (1 mark)
2.2 Demonstrate an understanding of rational numbers by:
• solving problems that involve arithmetic operations on rational numbers.
2.3 Explain and apply the order of operations, including exponents, with and without technology.
22.Evaluate these expressions using fraction & BEDMAS rules. Leave all final answers in fraction form. Show all of your work for full marks and circle or box your final answers. (5 marks)
a)(1 mark) b) (4 marks)
23.Evaluate the following. (4 marks)
a)
b)
c) (2 marks)24. Find the error and correct the solution. (1 mark)
25.
Determine the side length of the carpet. (1 mark)
26.
How many black buttons does the calculator have?(1 mark)
27.(1 mark)
1