,MIP1501 ASSIGNMENT 2 2026 ANSWERS - DUE DATE 1 JUNE 2026
QUESTION ONE
1.1
(a) Is the learner’s answer correct? Motivate your answer. (3)
Yes, the learner’s answer is correct.
The number 4008 is correctly written as “four thousand and eight.” The digit 4 is in the
thousands place, which means it represents four thousands or 4000. The two zeros show that
there are no hundreds and no tens in the number, while the digit 8 is in the ones place and
represents eight ones.
For example:
4008 = four thousand and eight
4508 = four thousand five hundred and eight
4088 = four thousand and eighty-eight
These examples show that the position of each digit changes the meaning and value of the
number. Therefore, the learner’s answer is correct because the number has been read
according to its place values.
(b) Write 4008 in expanded form using powers of 10 and briefly explain each step to a Grade
5 learner. (5)
4008 = (4 × 10³) + (0 × 10²) + (0 × 10¹) + (8 × 10⁰)
Explanation:
, The digit 4 is in the thousands column. This means it represents 4 thousands. In powers of 10,
we write this as 4 × 10³, which equals 4000.
The first zero is in the hundreds column. It shows that there are no hundreds in the number.
This is written as 0 × 10², which equals 0.
The second zero is in the tens column. It shows that there are no tens in the number. This is
written as 0 × 10¹, which also equals 0.
The digit 8 is in the ones column. It represents 8 ones and is written as 8 × 10⁰, which equals
8.
When all the values are added together:
4000 + 0 + 0 + 8 = 4008
Teachers can also compare this with other numbers to help learners understand place value:
4321 = 4000 + 300 + 20 + 1
4056 = 4000 + 0 + 50 + 6
4008 = 4000 + 0 + 0 + 8
These examples help learners see how each digit has a special place and value.
(c) Explain to the learner what the two zeros represent in 4008. (3)
The two zeros in 4008 are called placeholders. They show that there are no hundreds and no
tens in the number.
The first zero is in the hundreds place and tells us that the number has zero hundreds. The
second zero is in the tens place and tells us that the number has zero tens. Even though the
zeros do not add value on their own, they are very important because they keep the other
digits in the correct places.
QUESTION ONE
1.1
(a) Is the learner’s answer correct? Motivate your answer. (3)
Yes, the learner’s answer is correct.
The number 4008 is correctly written as “four thousand and eight.” The digit 4 is in the
thousands place, which means it represents four thousands or 4000. The two zeros show that
there are no hundreds and no tens in the number, while the digit 8 is in the ones place and
represents eight ones.
For example:
4008 = four thousand and eight
4508 = four thousand five hundred and eight
4088 = four thousand and eighty-eight
These examples show that the position of each digit changes the meaning and value of the
number. Therefore, the learner’s answer is correct because the number has been read
according to its place values.
(b) Write 4008 in expanded form using powers of 10 and briefly explain each step to a Grade
5 learner. (5)
4008 = (4 × 10³) + (0 × 10²) + (0 × 10¹) + (8 × 10⁰)
Explanation:
, The digit 4 is in the thousands column. This means it represents 4 thousands. In powers of 10,
we write this as 4 × 10³, which equals 4000.
The first zero is in the hundreds column. It shows that there are no hundreds in the number.
This is written as 0 × 10², which equals 0.
The second zero is in the tens column. It shows that there are no tens in the number. This is
written as 0 × 10¹, which also equals 0.
The digit 8 is in the ones column. It represents 8 ones and is written as 8 × 10⁰, which equals
8.
When all the values are added together:
4000 + 0 + 0 + 8 = 4008
Teachers can also compare this with other numbers to help learners understand place value:
4321 = 4000 + 300 + 20 + 1
4056 = 4000 + 0 + 50 + 6
4008 = 4000 + 0 + 0 + 8
These examples help learners see how each digit has a special place and value.
(c) Explain to the learner what the two zeros represent in 4008. (3)
The two zeros in 4008 are called placeholders. They show that there are no hundreds and no
tens in the number.
The first zero is in the hundreds place and tells us that the number has zero hundreds. The
second zero is in the tens place and tells us that the number has zero tens. Even though the
zeros do not add value on their own, they are very important because they keep the other
digits in the correct places.