,MIP1501 Assignment 4 COMPLETE ANSWERS) 2024
(835443 ) - DUE 18 August 2024 ; 100% TRUSTED
Complete, trusted solutions and explanations.
Question 1 (30) 1.1. Explain in detail to an Intermediate Phase
learner the difference between real and non-real numbers, give
two examples for each. (8) 1.2. Explain in detail to an
Intermediate Phase learner the difference between rational and
irrational numbers, give two examples for each. (8) 1.3. Discuss
in detail so that an Intermediate Phase learner will understand
any four special facts to remember about the number zero. (8)
1.4. Briefly discuss the importance of absolute values so that
Grade 6 learners would understand why absolute values are
necessary, also give 2 examples. (6)
Question 1
1.1. Real vs. Non-Real Numbers
Real Numbers: Real numbers are any numbers that can be
found on the number line. This includes all the numbers we use
in everyday life.
Examples:
1. 2: This is a real number because it can be placed on the
number line between 1 and 3.
2. -4.5: This is also a real number because it can be placed on
the number line between -4 and -5.
, Non-Real Numbers: Non-real numbers are numbers that cannot
be found on the number line. They are often complex numbers
which include imaginary parts.
Examples:
1. √(-1): This is a non-real number because you cannot take
the square root of a negative number in the real number
system. It is known as an imaginary unit (i).
2. 3 + 2i: This is a non-real number because it has an
imaginary part (2i) along with the real part (3).
1.2. Rational vs. Irrational Numbers
Rational Numbers: Rational numbers are numbers that can be
written as a fraction where both the numerator and the
denominator are integers, and the denominator is not zero.
Examples:
1. 1/2: This is a rational number because it can be expressed
as a fraction (1 divided by 2).
2. -3: This is a rational number because it can be written as -
3/1.
Irrational Numbers: Irrational numbers are numbers that
cannot be written as a simple fraction. Their decimal
representation goes on forever without repeating.
Examples:
(835443 ) - DUE 18 August 2024 ; 100% TRUSTED
Complete, trusted solutions and explanations.
Question 1 (30) 1.1. Explain in detail to an Intermediate Phase
learner the difference between real and non-real numbers, give
two examples for each. (8) 1.2. Explain in detail to an
Intermediate Phase learner the difference between rational and
irrational numbers, give two examples for each. (8) 1.3. Discuss
in detail so that an Intermediate Phase learner will understand
any four special facts to remember about the number zero. (8)
1.4. Briefly discuss the importance of absolute values so that
Grade 6 learners would understand why absolute values are
necessary, also give 2 examples. (6)
Question 1
1.1. Real vs. Non-Real Numbers
Real Numbers: Real numbers are any numbers that can be
found on the number line. This includes all the numbers we use
in everyday life.
Examples:
1. 2: This is a real number because it can be placed on the
number line between 1 and 3.
2. -4.5: This is also a real number because it can be placed on
the number line between -4 and -5.
, Non-Real Numbers: Non-real numbers are numbers that cannot
be found on the number line. They are often complex numbers
which include imaginary parts.
Examples:
1. √(-1): This is a non-real number because you cannot take
the square root of a negative number in the real number
system. It is known as an imaginary unit (i).
2. 3 + 2i: This is a non-real number because it has an
imaginary part (2i) along with the real part (3).
1.2. Rational vs. Irrational Numbers
Rational Numbers: Rational numbers are numbers that can be
written as a fraction where both the numerator and the
denominator are integers, and the denominator is not zero.
Examples:
1. 1/2: This is a rational number because it can be expressed
as a fraction (1 divided by 2).
2. -3: This is a rational number because it can be written as -
3/1.
Irrational Numbers: Irrational numbers are numbers that
cannot be written as a simple fraction. Their decimal
representation goes on forever without repeating.
Examples:
