Question

confidential information - thus for official consumption
2.4 some of the numbers are written using the us and some using the german systems.
write the following numbers according to a space for a thousand separator and a decimal
comma:-
(i) 105,403,32 (4)
(ii) 1,254,999.42
14
question 3
3.1 write the following numbers in words:
(i) \\(\frac{1}{5}\\) (2)
(ii) 0.2 (2)
(iii) 105 999 (2)
3.2 write the following numbers in numerals:
(i) one million, six hundred and five thousand, four hundred and thirty - two. (2)
(ii) a twentieth. (2)
3.3 fill in > or < to make the following sentences true:
(i) 0 --- -4 (2)
(ii) -6 --- -1 (2)
14
question 4
4.1 calculate the following without the use of a calculator
(i) 7·(6 - 2) (2)
(ii) 12×(20 - 15)+2 + 3 (4)
4.2 ms. rachel organises a trip to the johannesburg zoo for a group of people. the admission
charges to the zoo are r78,00 per child and r132,00 per adult. she worked out the table to
be r6 498,00. she collected r1 584 from the adults in the group.
(i) how many children are there in the group. (6)
12

Explanation:

Question 2.4

(i)

Step1: Identify the number

The number is 105,403,32 (US system, commas as thousand separators). To convert to the format with a space for thousand separator and decimal comma (European/German style), we replace the decimal point (in US) with a comma and adjust thousand separators to spaces. Wait, no: the US system uses commas as thousand separators and a decimal point (.), while the German system uses spaces as thousand separators and a decimal comma (,). So for 105,403.32 (assuming the original was a typo, maybe 105,403.32? Wait the given is 105,403,32 – maybe a typo, should be 105,403.32. So converting: thousand separators as spaces, decimal as comma. So 105 403,32.

Step2: Apply the format

Original (US) number: 105,403.32 (assuming the comma was a typo for decimal point). So with space as thousand separator and decimal comma: 105 403,32.

(ii)

Step1: Identify the number

The number is 1,254,999.42 (US system: commas for thousands, decimal point). Convert to German style: spaces for thousands, decimal comma. So 1 254 999,42.

Step2: Apply the format

Replace commas (thousand separators) with spaces, decimal point with comma: 1 254 999,42.

Question 3.1

(i)

Step1: Recognize the fraction

The fraction is $\frac{1}{5}$. In words, it's "one fifth".

Step2: State the word form

$\frac{1}{5}$ is "one fifth".

(ii)

Answer:

Step1: Find the total amount from adults

We know that the adult admission is R132,00 per adult, and she collected R1 584 from adults. Let the number of adults be $a$. Then $132a = 1584$. Solving for $a$: $a=\frac{1584}{132}=12$ adults.

Step2: Find the total amount for children

The total table amount is R6 498,00. The total from adults is R1 584, so the total from children is $6498 - 1584=4914$.

Step3: Find the number of children

Let the number of children be $c$. The child admission is R78,00 per child. So $78c = 4914$. Solving for $c$: $c=\frac{4914}{78}=63$.

Step4: Write the number of children

The number of children is 63.

Final Answers (Summarized)

2.4 (i) $\boldsymbol{105\ 403,32}$ (ii) $\boldsymbol{1\ 254\ 999,42}$

3.1 (i) $\boldsymbol{\text{one fifth}}$ (ii) $\boldsymbol{\text{zero point two (or two tenths)}}$ (iii) $\boldsymbol{\text{one hundred and five thousand, nine hundred and ninety - nine}}$

3.2 (i) $\boldsymbol{1\ 605\ 432}$ (ii) $\boldsymbol{\frac{1}{20}\ (\text{or}\ 0.05)}$

3.3 (i) $\boldsymbol{>}$ (ii) $\boldsymbol{<}$

4.1 (i) $\boldsymbol{28}$ (ii) $\boldsymbol{65}$

4.2 (i) $\boldsymbol{63}$