What Is a Rational Number? - mrscote

3 19. Show each set of numbers on a number line.
13. Write each number using powers of 10.
c)
152 6 152 9
21. The changes in value of a stock were
152 7 152 5 recorded in the table below.
e) [(4) 3 ] 2 [(2) 4 ] 3 [(3) 2 ] 4
1
f) [9 (3)] 2 3 4 d) 2 a3 7 4 8 5ba4 9 3b
a) 800 b) 52 000
Order the numbers from least to greatest.
c) 1760 d) 7 000 004
a) 1.9, 3.3, 4.8, 2.8, 1.2, 3. 3
19 13 3 1 13 2
b) , , , 2 , ,
14. Evaluate.
5 4 4 2 10 5
4 1
3
a) [3 (2) 3 4] 2
c) 1.1, , , 1.01, 1 , 0.11
3 3
8
b) (7 5) 2 [4 (1) 3 ] 2
2
1 1
d) ,0.2, 0.25, , 0. 1,
9
6 8
c) 9 2 (3) 3 5 2 2 5
d) (3 7 2 11 ) 1 (4 7 3 8 ) 0
20. Determine each sum or difference.
e) (4) 2 3 3 (2) 4 1 5
a) 17.4 (15.96) b) 8.38 (1.927)
f) [8 4 (4) 6 2 0 ] 10
c) 4.5 (13.67) d) 13.28 19.71
3 2
5
e) f) 1 a6 1 4 3
8 3
15. Express as a single power.
a) 6 5 6 11 6 8
17 11
5
g) h) 3 a2 2 4 3
6 3 b
b) (3) 6 (3) 2 (3) 4
2 8 2
d)
Day Change in Value ($)
2 2 2 4
Monday –0.450
16. Evaluate.
Tuesday 0.327
a) 7 2 4 3 4 0 3 2
b) (2) 8 (2) 4 (2) 7 (2) 5
Wednesday –0.065
c) 5 2 (5 4 5) 5 3
The price of the stock by the end of the day
8 13 8 14
on Wednesday was $85.460. Use rational
d)
8 15 8 9 numbers to calculate the price of the stock
17. A wheat field is 10 000 m wide. The area
of the field is 10 8 m 2 .
on Monday morning.
22. Determine each product or quotient.
a) Use the exponent laws to determine the
a) (14.6)(2.5) b) (12.8)(12.8)
length of the field.
c) (8.64) (2.7) d) 4.592 (0.82)
b) What is the perimeter of the field?
e) f) a2 2
5 ba61
3 b
a83 4 b 15 b
Did you use any exponent laws to
calculate the perimeter? Explain.
g) 2
h) a3 1 2
12 b a81 3 b
5 b 3
a) (6 2 ) 8 (6 4 ) 2
1
1
a) a 7 a 3
b) (7 4 7 2 ) 3 (3 5 3 2 ) 3
8 b 5 10 b 4
c) [(2) 5 (2) 4 ] 3 [(5) 2 (5) 3 ] 0
b) (2.1)(18.5) 6.8 4
1
d) (4 9) 4 (3 5 ) 2
c) a7 1 1 a 2 3 ba 6
55 b 2 7 b
18. Simplify, then evaluate each expression. 23. Evaluate.
Units 1–3 149