Is zero a rational number? Why or why not?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
kfdt
1) Is zero a rational number? Why or why not?
2) Find the decimal expansion of Also write the type of decimal expansion
3) Is 3.454545.......... a rational or an irrational number.
4) Express 0.7777......in-form.
9
5) Find an irrational number between and
1
6) Rationalize: √5-√3
7) Rationalize:
2√3-4√2
8) Simplify: (2+ √2)(3 - 3√2)
9) Represent √7.3 on a number line.
33
10) Solve:
33
1
1
11) Solve: 135 x 133
1
12) Find: 646
13) Represent √3 on a number-line.
14) Find the product: (3-√5)(√2-√7)
13
15) Insert five rational numbers between 2 and
d²2233
16) Insert 10 rational numbers between and 4
17) Express 0.5666...... in the form of 2, where q# 0
9
308
Also write which kind of decimal expansion
400
18) Write the decimal expansion of
19) Classify as rational or irrational:
a) 0.456666.....
b) 0.324
c) 0.9787675..............
20) Simplify:
a) 114.114
1 1
b) 43.53
c) (5
d) (125)
Transcribed Image Text:1) Is zero a rational number? Why or why not? 2) Find the decimal expansion of Also write the type of decimal expansion 3) Is 3.454545.......... a rational or an irrational number. 4) Express 0.7777......in-form. 9 5) Find an irrational number between and 1 6) Rationalize: √5-√3 7) Rationalize: 2√3-4√2 8) Simplify: (2+ √2)(3 - 3√2) 9) Represent √7.3 on a number line. 33 10) Solve: 33 1 1 11) Solve: 135 x 133 1 12) Find: 646 13) Represent √3 on a number-line. 14) Find the product: (3-√5)(√2-√7) 13 15) Insert five rational numbers between 2 and d²2233 16) Insert 10 rational numbers between and 4 17) Express 0.5666...... in the form of 2, where q# 0 9 308 Also write which kind of decimal expansion 400 18) Write the decimal expansion of 19) Classify as rational or irrational: a) 0.456666..... b) 0.324 c) 0.9787675.............. 20) Simplify: a) 114.114 1 1 b) 43.53 c) (5 d) (125)
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