MIP1501
ASSIGNMENT 2:
2023
Question 1
1.1. The property illustrated by 187 + 376 = 376 + 187 is the commutative property of addition. This
property states that when two numbers are added, the order in which they are added does not
change the sum. In other words, if you add two numbers a and b, then a + b = b + a. This
property holds true for any two numbers, whether they are whole numbers, decimals, or fractions.
For example, 3 + 5 = 5 + 3, 12 + 7 = 7 + 12, and 0.5 + 0.7 = 0.7 + 0.5. The commutative property
of addition is a fundamental property of arithmetic, and it helps us to simplify calculations and
solve problems more easily.
1.2. Place value and value of a digit are two important concepts in mathematics that are often
confused by intermediate phase learners. Place value refers to the value of a digit based on its
position in a number, while the value of a digit refers to the numerical worth of a single digit.
To teach the difference between these concepts, you can use the following examples:
Example 1: Consider the number 452. The digit 5 has a value of 5, but its place value is in the
tens place, meaning it is worth 50. The digit 4 has a value of 4, but its place value is in the
hundreds place, meaning it is worth 400.
ASSIGNMENT 2:
2023
Question 1
1.1. The property illustrated by 187 + 376 = 376 + 187 is the commutative property of addition. This
property states that when two numbers are added, the order in which they are added does not
change the sum. In other words, if you add two numbers a and b, then a + b = b + a. This
property holds true for any two numbers, whether they are whole numbers, decimals, or fractions.
For example, 3 + 5 = 5 + 3, 12 + 7 = 7 + 12, and 0.5 + 0.7 = 0.7 + 0.5. The commutative property
of addition is a fundamental property of arithmetic, and it helps us to simplify calculations and
solve problems more easily.
1.2. Place value and value of a digit are two important concepts in mathematics that are often
confused by intermediate phase learners. Place value refers to the value of a digit based on its
position in a number, while the value of a digit refers to the numerical worth of a single digit.
To teach the difference between these concepts, you can use the following examples:
Example 1: Consider the number 452. The digit 5 has a value of 5, but its place value is in the
tens place, meaning it is worth 50. The digit 4 has a value of 4, but its place value is in the
hundreds place, meaning it is worth 400.
