Mathematics - Term 4 - Week 6

Place value refers to the value of a digit depending 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. Understanding place value is crucial for performing operations with numbers and for developing a deeper understanding of the number system.

Consider the number 7,203. The digit '7' is in the thousands place, so it represents 7,000. The digit '2' is in the hundreds place, representing 200. The '0' in the tens place represents 0, and the '3' in the units place represents 3. Therefore, the value of the number can be expressed as 7,000 + 200 + 0 + 3.

Let's practice identifying place values together. Write the number 5,634 on the board. Ask students to identify the place value of each digit. Discuss as a class: 'What does the '5' represent? What about the '6'?'. Encourage students to explain their reasoning and use visual aids like place value charts to reinforce their understanding.

Now it's your turn to practice independently. Solve the following problems: 1) What is the place value of the digit '8' in the number 48,762? 2) Write the number 3,405 in expanded form. 3) Identify the digit in the tens place of the number 12,349. Show your working clearly for each problem.

• 3
• 30
• 300
• 3,000

Answer: 3,000

The digit '3' is in the thousands place, which represents 3,000.

• 80
• 800
• 8,000
• 8

Answer: 800

The digit '8' is in the hundreds place, which represents 800.

• 1,273
• 4,567
• 3,789
• 2,907

Answer: 3,789

In the number 3,789, the '7' is in the tens place.

Answer: 6,000 + 200 + 0 + 4

Expanded form breaks down the number into the sum of each digit's value.

Answer: 4

The digit '4' is in the hundreds place of the number 9,482.

• 0
• 50
• 500
• 5,000

Answer: 0

The digit '0' in the tens place represents 0.

• 20
• 200
• 2,000
• 2

Answer: 200

The digit '2' is in the hundreds place, which represents 200.

Answer: 7

The digit '7' is in the thousands place of the number 7,891.