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MIP1501 Assignment 2 (ANSWERS) 2026 - Due 1 June 2026

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MIP1501 Assignment 2 (ANSWERS) 2026 - Due 1 June 2026. For assistance, Whats-App 0.8.1..2.7.8..3.3.7.2. Guaranteed distinction quality with trusted academic solutions, clear explanations, professional formatting, and reliable support. Question 1 (37) 1.1 . A grade 5 learner in the mathematics classroom writes 4008 as “four thousand and eight”. a) Is the answer by the learner correct? Motivate reasons for your answer. (3) b) Write 4008 in expanded form using powers of 10 and briefly explain each step to a grade 5 learner. (5) c) Explain to the learner what the two zeros represent in 4008. (3) d) If you remove both zeros, what number do you get? Explain the effect on the value to the intermediate phase learners in simple terms. (4) 1.2. A grade 6 learners spends 0.3 hours on a mathematics class-activity. a) Explain to your grade 6 learners how you will convert 0.3 hours to minutes and seconds, explain each step. (3) b) Express 45 minutes as a fraction of an hour in base‑60 (i.e. as a sexagesimal decimal) ( 4) c) If a task takes 1 hour 25 minutes, write this as a decimal in base‑10 and in base‑60. Which is more precise for exact fractions? (4) 1.3. A learner in an Intermediate Phase mathematics classroom says, “Zero is nothing, so it does not affect any operation.” a) Is this learner’s statement always true? Give and briefly explain an example where zero does affect the result. (4) b) Explain to your mathematics learners why division by zero is undefined using a real‑life situation. (4) c) What is the additive inverse of –8? Use zero in your explanation. (3) Question 2 (33) 2.1. Refer to this equation to answer the following questions: x + (–7) = 12. a) Explain what is the additive inverse of –7 to grade 5 learners ? Use your explanation to solve the additive inverse of –7. (4) b) Solve 5x = 20 using multiplicative inverse and explain each step to the grade 5 learners.(4) c) Explain why zero has no multiplicative inverse. (2) 2.2. Thandi is a grade 4 mathematics learner in Ratanang primary school. She spent half of her money, then R20 more, then double what remained, Thandi now has R100. a) How much did she start with? Work backwards step by step and explain each step to grade 4 learners. (4) b) Write the forward equation and explain each step to grade 4 learners. (4) 2.3. A rectangular garden has length 12 m and width 8 m. A path of uniform width 1.5 m is built around the outside. a) Find the outer dimensions including the path. (3) b) Calculate the area of the path. (show all the calculations) (3) c) If paving stones cost R85 per square metre, find the total cost. (3) 2.4. A grade 6 learner who is a cyclist travels 30 km at 15 km/h, then 20 km at 10 km/h on weekends as part of an exercise. a) Calculate total time travelled by the cyclist. (3) b) Calculate average speed for the whole journey and explain each step if your calculation to a grade 6 learner. (3) Question 3 (30) 3.1. The grade 4 learners at Moletlane primary school are planning to sell cookies at school during breaktimes contribute to a fundraising project to donate to a nearby charity. They have all the ingredients, and they only need sugar, a recipe calls for ¾ cup sugar, they only have a ⅛ cup measure. a) Calculate by showing how many ⅛ cups make ¾? Explain each step to a grade 4 learners at Moletlane primary school. (4) b) Write an equivalent fraction for ¾ with denominator 24. (3) 3.2. Given the fraction 3/16, answer the following questions:- a) Convert 3/16 to a decimal by long division, show how the division steps. (4) b) Write 3/16 as a percentage, show all the steps. (3) 3.3. Two Intermediate Phase teachers invest R3000 and R5000 in a business. They agree to share profit in the ratio of their investments. a) If profit is R2400, how much does each get? (3) b) If the first friend invests an additional R1000 after 6 months, how should the year’s profit be shared fairly? (Assume profit proportional to investment × time.) (4) 3.5. A map scale is 1:50 000. A rectangular park measures 4 cm by 6 cm on the map. a) Find actual dimensions in km. (3) b) Find actual area in km². (3) c) If the map scale is changed to 1:25 000, what would be the new map dimensions? (3)

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MIP1501
Assignment 2 2026
Unique number:
Due date: June 2026
QUESTION 1

1.1

(a) Is the answer “four thousand and eight” correct?

Yes, the learner’s answer is correct. The number 4008 is written in words as “four thousand
and eight” because it consists of four thousand, zero hundreds, zero tens, and eight ones.
The “and” is appropriately placed to connect the thousands to the ones, reflecting the
standard convention in English for writing numbers above one thousand. It correctly
represents the positional value of each digit in the number according to the base-10 system
(Hindu-Arabic numerals) (MIP1501, 2020:17).




(b) Expanded form using powers of 10

To write 4008 in expanded form using powers of 10, we break it down by the value of each

,QUESTION 1

1.1

(a) Is the answer “four thousand and eight” correct?

Yes, the learner’s answer is correct. The number 4008 is written in words as “four
thousand and eight” because it consists of four thousand, zero hundreds, zero tens,
and eight ones. The “and” is appropriately placed to connect the thousands to the
ones, reflecting the standard convention in English for writing numbers above one
thousand. It correctly represents the positional value of each digit in the number
according to the base-10 system (Hindu-Arabic numerals) (MIP1501, 2020:17).




(b) Expanded form using powers of 10

To write 4008 in expanded form using powers of 10, we break it down by the value of
each digit:

4008 = 4 × 10³ + 0 × 10² + 0 × 10¹ + 8 × 10⁰

Explanation for a grade 5 learner:

 The “4” is in the thousands place, so it is multiplied by 10³ (4 × 1000).

 The first “0” is in the hundreds place, multiplied by 10² (0 × 100).

 The second “0” is in the tens place, multiplied by 10¹ (0 × 10).

 The “8” is in the ones place, multiplied by 10⁰ (8 × 1).

This shows clearly how each digit contributes to the total value of 4008 (MIP1501,
2020:17).




(c) Explanation of the two zeros in 4008

, The two zeros in 4008 indicate that there are no hundreds and no tens in this
number. For a grade 5 learner:

 The first zero means there are zero hundreds, so nothing is added in the
hundreds place.

 The second zero means there are zero tens, so nothing is added in the tens
place.

Zeros act as placeholders, keeping the digits in the correct position so that the
number retains its value (MIP1501, 2020:17).




(d) Effect of removing both zeros

If we remove both zeros, the number becomes 48.

Explanation for learners:

 The thousands place (4) is gone because we are removing the placeholders,
and now the number is only tens and ones: 48.

 The value changes drastically: 4008 is four thousand and eight, while 48 is
forty-eight.

This teaches learners that zeros are important. Removing them reduces the
number’s value and changes its meaning. It demonstrates the role of zeros in
maintaining the correct magnitude of a number in the base-10 system (MIP1501,
2020:17).




1.2

(a)

To convert 0.3 hours to minutes, I would remind learners that 1 hour has 60 minutes.
So we multiply:

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