Table of Contents
Question 1 .................................................................................................................................. 2
Question 2 .................................................................................................................................. 3
Activity 1.3.4 .......................................................................................................................... 6
Question 3 .................................................................................................................................. 8
Question 4 .................................................................................................................................. 9
Activity 1.4.4(a) ...................................................................................................................... 9
Activity 1.4.4(b) ...................................................................................................................... 9
Activity 1.4.4(c) ...................................................................................................................... 9
Question 5 ................................................................................................................................ 10
Activity 2.1.1 ........................................................................................................................ 10
Activity 2.1.2 ........................................................................................................................ 10
Question 6 ................................................................................................................................ 12
Question 7 ................................................................................................................................ 14
Question 8 ................................................................................................................................ 19
Activity 2.3 ........................................................................................................................... 19
b) Activity 2.4 ....................................................................................................................... 21
Bibliography ............................................................................................................................. 23
, MIP1502 Assignment 02
Question 1
a)
i. The base ten place value to write numbers was developed in India. By the 9 th
century, Indian mathematicians developed the decimal number system which
meant that numbers were written according to their value in certain
positions.
ii. The development and use of negative coefficients started in the 7th century
in India. They developed rules for positive and negative numbers and treated
zero as one of the numbers.
iii. The use of letters to indicate variables was developed in France at the end of
the 16th century by French mathematician, François Viète. He introduced the
representation of known and unknown numbers with letters, nowadays
called variables.
iv. During the 7th century in India, rules for positive and negative numbers were
developed and treated zero as one of the numbers.
v. By the 14th century, mathematicians started to create and agree on abstract
symbols that could be used in algebra. In 1557 the equation sign was
invented by Robert Recorde in Wales, England.
b) (16.50 − 9.60)𝛼 = 75
6.90𝛼 = 75
𝒶 = 10.87
∴ 𝐻𝑒 𝑤𝑖𝑙𝑙 ℎ𝑎𝑣𝑒 𝑡𝑜 𝑠𝑒𝑙𝑙 10.87 ℎ𝑜𝑡𝑑𝑜𝑔𝑠, 𝑏𝑢𝑡 ℎ𝑒 𝑐𝑎𝑛𝑛𝑜𝑡 𝑠𝑒𝑙𝑙 0.87 𝑜𝑓 𝑎 ℎ𝑜𝑡𝑑𝑜𝑔,
𝑠𝑜 ℎ𝑒 𝑤𝑖𝑙𝑙 ℎ𝑎𝑣𝑒 𝑡𝑜 𝑠𝑒𝑙𝑙 11 ℎ𝑜𝑡𝑑𝑜𝑔𝑠 𝑡𝑜 𝑏𝑟𝑒𝑎𝑘 𝑒𝑣𝑒𝑛.
c) Mpho sells hotdogs. He needs to break even with R75. This means that he should
not make a profit and needs to make just enough to pay his rent.
The cost to make a
hotdog is R9.60
Mpho has to pay
Mpho sells each hotdog R75 to use the cart
for R16.50.
He makes R6.90 profit
per hotdog
BED 90103 Page 2 of 23
How many hotdogs at R16.50 must he sell to make R75?
, MIP1502 Assignment 02
Question 2
a) Integers includes zero, negative and positive numbers without any decimal or
fractional parts. They are numbers that represent whole things.
Integers In measurement:
The lesson will begin with discussing positive and negative and that in math they are
opposites. We are going to use temperature to help understand positive and negative
numbers.
Each whole measurement of degree on the thermometer is an integer.
28 degrees is an integer, but 22,5 degrees is not an integer.
-15 degrees is an integer, but -7.5 degrees is not an integer.
Any form of fraction is not an integer.
So, 1⁄3 is not an integer, but 2 is an integer.
Integers in Finance:
In a financial context, any whole financial amount is an integer, but any amount that
has cents or any form of decimal is not an integer.
So, R50 is an integer, but R23.50 is not an integer because it has 50 cents as a decimal.
If we owe someone money, then –R63 is an integer, but –R14,25 is not an integer.
Whole values in finance are integers whether they are positive or negative.
BED 90103 Page 3 of 23
Question 1 .................................................................................................................................. 2
Question 2 .................................................................................................................................. 3
Activity 1.3.4 .......................................................................................................................... 6
Question 3 .................................................................................................................................. 8
Question 4 .................................................................................................................................. 9
Activity 1.4.4(a) ...................................................................................................................... 9
Activity 1.4.4(b) ...................................................................................................................... 9
Activity 1.4.4(c) ...................................................................................................................... 9
Question 5 ................................................................................................................................ 10
Activity 2.1.1 ........................................................................................................................ 10
Activity 2.1.2 ........................................................................................................................ 10
Question 6 ................................................................................................................................ 12
Question 7 ................................................................................................................................ 14
Question 8 ................................................................................................................................ 19
Activity 2.3 ........................................................................................................................... 19
b) Activity 2.4 ....................................................................................................................... 21
Bibliography ............................................................................................................................. 23
, MIP1502 Assignment 02
Question 1
a)
i. The base ten place value to write numbers was developed in India. By the 9 th
century, Indian mathematicians developed the decimal number system which
meant that numbers were written according to their value in certain
positions.
ii. The development and use of negative coefficients started in the 7th century
in India. They developed rules for positive and negative numbers and treated
zero as one of the numbers.
iii. The use of letters to indicate variables was developed in France at the end of
the 16th century by French mathematician, François Viète. He introduced the
representation of known and unknown numbers with letters, nowadays
called variables.
iv. During the 7th century in India, rules for positive and negative numbers were
developed and treated zero as one of the numbers.
v. By the 14th century, mathematicians started to create and agree on abstract
symbols that could be used in algebra. In 1557 the equation sign was
invented by Robert Recorde in Wales, England.
b) (16.50 − 9.60)𝛼 = 75
6.90𝛼 = 75
𝒶 = 10.87
∴ 𝐻𝑒 𝑤𝑖𝑙𝑙 ℎ𝑎𝑣𝑒 𝑡𝑜 𝑠𝑒𝑙𝑙 10.87 ℎ𝑜𝑡𝑑𝑜𝑔𝑠, 𝑏𝑢𝑡 ℎ𝑒 𝑐𝑎𝑛𝑛𝑜𝑡 𝑠𝑒𝑙𝑙 0.87 𝑜𝑓 𝑎 ℎ𝑜𝑡𝑑𝑜𝑔,
𝑠𝑜 ℎ𝑒 𝑤𝑖𝑙𝑙 ℎ𝑎𝑣𝑒 𝑡𝑜 𝑠𝑒𝑙𝑙 11 ℎ𝑜𝑡𝑑𝑜𝑔𝑠 𝑡𝑜 𝑏𝑟𝑒𝑎𝑘 𝑒𝑣𝑒𝑛.
c) Mpho sells hotdogs. He needs to break even with R75. This means that he should
not make a profit and needs to make just enough to pay his rent.
The cost to make a
hotdog is R9.60
Mpho has to pay
Mpho sells each hotdog R75 to use the cart
for R16.50.
He makes R6.90 profit
per hotdog
BED 90103 Page 2 of 23
How many hotdogs at R16.50 must he sell to make R75?
, MIP1502 Assignment 02
Question 2
a) Integers includes zero, negative and positive numbers without any decimal or
fractional parts. They are numbers that represent whole things.
Integers In measurement:
The lesson will begin with discussing positive and negative and that in math they are
opposites. We are going to use temperature to help understand positive and negative
numbers.
Each whole measurement of degree on the thermometer is an integer.
28 degrees is an integer, but 22,5 degrees is not an integer.
-15 degrees is an integer, but -7.5 degrees is not an integer.
Any form of fraction is not an integer.
So, 1⁄3 is not an integer, but 2 is an integer.
Integers in Finance:
In a financial context, any whole financial amount is an integer, but any amount that
has cents or any form of decimal is not an integer.
So, R50 is an integer, but R23.50 is not an integer because it has 50 cents as a decimal.
If we owe someone money, then –R63 is an integer, but –R14,25 is not an integer.
Whole values in finance are integers whether they are positive or negative.
BED 90103 Page 3 of 23
