Mathematics - Term 3 - Week 8

Place value is the value of a digit based on its position in a number. For example, in the number 4,582, the digit 4 is in the thousands place, which means it represents 4,000. Each position in a number has a different value: ones, tens, hundreds, thousands, and so on. Understanding place value helps us read, write, and compare numbers effectively.

Let's take the number 7,236. To understand its place value, we can break it down: 7 is in the thousands place (7,000), 2 is in the hundreds place (200), 3 is in the tens place (30), and 6 is in the ones place (6). So, 7,236 = 7,000 + 200 + 30 + 6. This breakdown helps us see how much each digit contributes to the overall value of the number.

Now, let's practice identifying place values together. Write the number 5,874 on the board. Ask students to identify the place value of each digit. Discuss as a class: 5 is in the thousands place (5,000), 8 is in the hundreds place (800), 7 is in the tens place (70), and 4 is in the ones place (4). Encourage students to explain their reasoning and use visual aids like place value charts to reinforce their understanding.

Now it's time for you to practice on your own. Solve the following problems: 1) Write the number 3,405 in expanded form. 2) What is the place value of the digit 9 in the number 29,487? 3) If you have the number 1,256, what is the value of the digit in the tens place? Show your working clearly for each problem.

• 60
• 600
• 6,000
• 6

Answer: 6,000

The digit 6 is in the thousands place, which means it represents 6,000.

• 90
• 900
• 9,000
• 9

Answer: 900

The digit 9 is in the hundreds place, so its value is 900.

Answer: 4,000 + 300 + 20 + 1

In expanded form, each digit is broken down according to its place value.

• 8
• 7
• 6
• 5

Answer: 6

The digit 6 is in the tens place, representing 60.

Answer: 300

The digit 3 is in the hundreds place, which means it represents 300.

• 2
• 20
• 200
• 2,000

Answer: 200

The digit 2 is in the hundreds place, so its value is 200.

Answer: 6

The digit in the ones place is 6, representing 6.

• 0
• 10
• 100
• 1,000

Answer: 0

The digit 0 in the hundreds place has no value, so it represents 0.