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QUESTION 1: PLACE VALUE
1. Study the diagram and answer the following questions
1.1 Define place value and explain its role in understanding multi-digit numbers.
Definition: Place value is the numerical value that a digit has by virtue of its position (or place)
within a number.
Role: It allows us to understand, read, and write multi-digit numbers efficiently. Without place
value, we would need a unique symbol for every single number; with it, we can represent
infinitely large or small numbers using just ten digits (0–9) because the value of a digit
multiplies by 10 every time it moves one position to the left.
1.2 List Two (2) ways to represent the number 36 using Base-10 principles.
Standard Decomposed Form (Expanded Notation): 30+6 (or 3 tens and 6 ones).
Concrete/Visual Representation: 3 Base-10 longs (rods) and 6 Base-10 units (cubes).
1.3 Determine the value of the digit 8 in the number 285 as shown in the image
The digit 8 is in the tens column.
Therefore, its value is 80 (or 8 tens).
1.4 Apply your knowledge of place value to outline a hands-on classroom activity using Dienes
blocks or bottle tops to help Grade 2 learners understand place value.
Objective: To help learners understand that 10 ones group together to make 1 ten.
Resources: Blue bottle tops (representing Units/Ones) and Red bottle tops (representing Tens),
plus a simple Tens/Ones template mat for each learner.
Steps:
The teacher calls out a number, for example, 14.
Learners are instructed to count out 14 blue bottle tops into their "Ones" column.
The teacher explains the rule: "The Ones column can never hold 10 or more tops. It gets too
crowded!" 4. Learners physically take 10 of their blue bottle tops, place them into a small
small plastic bag (or swap them at the "Bank"), and trade them for 1 red bottle top.
They move that 1 red top to the "Tens" column, leaving 4 blue tops in the "Ones" column to
visually represent 1 ten and 4 ones.
QUESTION 1: PLACE VALUE
1. Study the diagram and answer the following questions
1.1 Define place value and explain its role in understanding multi-digit numbers.
Definition: Place value is the numerical value that a digit has by virtue of its position (or place)
within a number.
Role: It allows us to understand, read, and write multi-digit numbers efficiently. Without place
value, we would need a unique symbol for every single number; with it, we can represent
infinitely large or small numbers using just ten digits (0–9) because the value of a digit
multiplies by 10 every time it moves one position to the left.
1.2 List Two (2) ways to represent the number 36 using Base-10 principles.
Standard Decomposed Form (Expanded Notation): 30+6 (or 3 tens and 6 ones).
Concrete/Visual Representation: 3 Base-10 longs (rods) and 6 Base-10 units (cubes).
1.3 Determine the value of the digit 8 in the number 285 as shown in the image
The digit 8 is in the tens column.
Therefore, its value is 80 (or 8 tens).
1.4 Apply your knowledge of place value to outline a hands-on classroom activity using Dienes
blocks or bottle tops to help Grade 2 learners understand place value.
Objective: To help learners understand that 10 ones group together to make 1 ten.
Resources: Blue bottle tops (representing Units/Ones) and Red bottle tops (representing Tens),
plus a simple Tens/Ones template mat for each learner.
Steps:
The teacher calls out a number, for example, 14.
Learners are instructed to count out 14 blue bottle tops into their "Ones" column.
The teacher explains the rule: "The Ones column can never hold 10 or more tops. It gets too
crowded!" 4. Learners physically take 10 of their blue bottle tops, place them into a small
small plastic bag (or swap them at the "Bank"), and trade them for 1 red bottle top.
They move that 1 red top to the "Tens" column, leaving 4 blue tops in the "Ones" column to
visually represent 1 ten and 4 ones.
