Download SEND - IN ASSIGNMENT

Foundations of Mathematics and Pre-Calculus 10
Unit 1 Hand-In Assignment
SEND - IN ASSIGNMENT
UNIT 1
The Real Number System & Radicals
ANSWER KEY
Name: _________________________________________
Total ______
=
_________%
46
SHOW ALL WORK FOR FULL MARKS
(when possible)
Version 1 2010
Page 1 of 6
Unit 1
Foundations of Mathematics and Pre-Calculus 10
Unit 1 Hand-In Assignment
1. Name all of the sets [natural, whole, integers, rational, irrational, real] of the real number system
to which the following belong too.
5
8
Rational, Real
a) _________________________________________________________________
b) 4
Integer, Rational, Real
b) _________________________________________________________________
a)
1 mark
1 mark
Irrational, Real
c) 6.15478134274… c) _________________________________________________________________
1 mark
Natural, Whole, Integer, Rational, Real
d) __________________________________________________________________
d) 7
1 mark
2. Determine which numbers are rational or irrational.
7,
3,
6.15,
1
,
5
5
,
3
7.1438714289...,
3
3
27,
16
1
7, 6.15, , 3 27
Rational: _________________________________________
5
4 marks
5 3
3, 7.143871489...,
, 16
Irrational: _________________________________________
3
4 marks
3. Place the corresponding letter of the following Real Numbers on the number line below.
A.  5
B.
1
3
C.
5
D. 6
2
3
E. 
16
2
A
E
7 6 5 4 3 2 1
C
B
0
1
2
D
3
4
5
6
7
5 marks
4. Estimate which two integers 74 would fall between without a calculator.
Show your steps for full marks. Answer only will result in no marks.
8 and 9
a) _____________________________
1 mark
Version 1 2010
Page 2 of 6
Unit 1
Foundations of Mathematics and Pre-Calculus 10
Unit 1 Hand-In Assignment
5. Estimate the value of 115 without a calculator.
Show your steps for full marks. Answer only will result in no marks.
115 10.7
a) _____________________________
2 marks
6. Which method is correct when simplifying the following?
Method A
25  16  5  4
Method B
25  16 
1
9
 3
B
6) _____________________________
1 mark
7. Graph the following on the number line below using decimal approximation.
 14,
2 3,
5 2
7 6 5 4 3 2 1
0
1
2
3
4
5
6
7
3 marks
8.
Evaluate each of the following to the nearest 100th.
a)
2 5  6 3
2
-4.19
a) _____________________________
1 mark
b) 2 4 117  6 5 342
-25.85
b) _______________________________
1 mark
Version 1 2010
Page 3 of 6
Unit 1
Foundations of Mathematics and Pre-Calculus 10
Unit 1 Hand-In Assignment
9. Write the following as an entire radical.
a) 7 3
 147
a) _____________________________
2 marks
3
b) 4 5
3
320
b) _____________________________
2 marks
10. Simplify each of the following and leave in simplest radical form.
a)
80
80 

16  5
16 
5
 4 5
4 5
a) _____________________________
2 marks
b) 4 96
16 6
b) _____________________________
2 marks
c) 3 8  5 18  6 2
15 2
c) _____________________________
2 marks
d) 2 12  3 50  2 75  6 32
9 2  6 3
d) _____________________________
Version 1 2010
Page 4 of 6
2 marks
Unit 1
Foundations of Mathematics and Pre-Calculus 10
e)
3
1080 
3
Unit 1 Hand-In Assignment
135
33 5
e) _____________________________
2 marks
f) 5 3  2 6
30 2
f) _____________________________
2 marks

g) 2 6 3 6  5 8

36  40 3
g) _____________________________
2 marks
h)
2 18
6 6
3
3
j) _____________________________
2 marks
Version 1 2010
Page 5 of 6
Unit 1
Foundations of Mathematics and Pre-Calculus 10
Unit 1 Hand-In Assignment
11. The rectangular prism has the following dimensions. Find a simplified expression for the volume
in simplest radical form. This is a BONUS QUESTION!
11 
11 
11 
5
3
3
8 11  8 5
11) _____________________________
1 BONUS mark
Version 1 2010
Page 6 of 6
Unit 1