Homework for Lesson 3-The Number System
Math 10 Homework -The Number System
Complete the questions below:
Place the following numbers into the appropriate set: rational or irrational.
5, [pic], [pic], [pic], [pic], [pic], [pic], [pic], [pic]
To what sets of numbers does -4 belong?
a) natural and whole
b) irrational and real
c) integer and whole
d) rational and integer
To what sets of numbers does [pic]belong?
a) natural and whole
b) irrational and real
c) integer and whole
d) rational and real
4. Place the corresponding letter of the following real numbers on the number line below.
[pic]
5. Find one number which satisfies each condition: put your number beside each question.
a) An integer, but not a whole number. ___________
b) A rational number, but not an integer. ___________
c) A real number, but not a rational number. ___________
d) A whole number, but not a natural number. ___________
Complete the following statements using always, sometimes, or never.
a) A whole number is _______________ a natural number.
b) The quotient of two integers is _______________ an integer.
c) A whole number is _________________ a rational number.
d) The difference between two integers is _______________ an integer.
e) The square root of a number is __________________ an irrational number.
f) A negative number is _________________ a whole number.
g) A natural number is __________________ a real number.
Use estimates to explain why [pic] is not equal to [pic]
8. In the space below, draw a diagram showing the subsets of number classifications. Within each section give three different examples of that type. Use colour and creativity!
-----------------------
Irrational
Rational
................
................
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