Page 5 - Mathematics-for-the-Senior-Phase-Grades-7-9_Neat
P. 5
Senior Phase Mathematics: Grade 7 – 9 Learner book
Questions
Unit 1.1: The Number System
Grade 9
1. From each list of numbers, write down those that are rational numbers:
a) –30,125 ටଷ଺ ߨ 34% 45,777…
43
b) √0,01 ଺ସ 0,333… –√3 5,23168238
à°—
c) െ ଵ ଷ 4,3253253ሶ 2ሶ 5ሶ
ଶ √ଶ
ଷ
d) ଶଶ –12 √1,44
଻ 0,00005
2. Write down 5 numbers which are
a) negative and rational
b) positive and rational, but not integers
c) negative and irrational.
3. a) Write down any rational number that lies between 0,1 and 0,2.
b) Write down a rational number that lies between 0,36 and 0,37.
c) Write down a rational number that lies between ଵ and ଵ.
ଷସ
4. How many rational numbers are there between ଵ and ଵ ?
ସଶ
5. Give three different rational numbers that lie between 0,1 and 0,2.
6. a) What integer is closest to 1,3?
b) Write down a rational number that is less than 1,3 but close to 1,3 in value.
c) Write down a rational number that is less than 1,3 but even closer to 1,3 than your
answer in (b).
d) Can you find a rational number less than 1,3 that is closest to 1,3?
7. a) Is ߨ exactly equal to ଶଶ ? Explain.
଻
b) What integer is closest to ߨ?
8. Decide whether each of the following statements is true or false and give a reason for your
answer.
a) య√െ1 ∈ ℤ Note: ∈ stands for “belongs to
b) 0 ∈ ℚ
c) If ܽ ∈ ℤ then ܽ ∈ ℚ the set of†so య√െ1 ∈ ℤ is the
d) If ܽ ∈ ℤ then ܽ ∈ ℕ same as saying య√െ1 is an integer.
9. Place each of these numbers on the number line below:
a) య√െ8; 0,3473256; ஠; െ ହ; √2
ଶ ଷ
Winning Teams & OLICO 2
