Mathematics - Term 4 - Week 6

Place value is the value of a digit based on its position within a number. For example, in the number 4,582, the digit '4' is in the thousands place, meaning it represents 4,000. Understanding place value is crucial for performing arithmetic operations and for comprehending larger numbers. Each position in a number has a value that is ten times greater than the position to its right. This concept applies to both whole numbers and decimal numbers.

Consider the number 7,306. The place values are as follows: '7' is in the thousands place (7,000), '3' is in the hundreds place (300), '0' is in the tens place (0), and '6' is in the units place (6). To visualize this, we can break down the number: 7,306 = 7,000 + 300 + 0 + 6. This breakdown helps us understand how each digit contributes to the overall value of the number.

Let's practice identifying place values together. Write the number 5,842 on the board. Ask students to identify the place value of each digit. Discuss as a class: 'What is the value of the digit '5'? What about '8'?'. Encourage students to explain their reasoning and use visual aids like place value charts to reinforce their understanding.

Now it's your turn! Solve the following problems independently: 1. What is the place value of '9' in the number 29,487? 2. Write the number 3,205 in expanded form. 3. Identify the digit in the tens place of 6,731. Show your working clearly for each problem.

• 3
• 30
• 300
• 3,000

Answer: 300

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

• 4
• 0.4
• 0.04
• 40

Answer: 0.04

The digit '4' is in the hundredths place, which represents 0.04.

Answer: 5,000 + 600 + 70 + 8

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

• 7
• 70
• 700
• 7,000

Answer: 7,000

The digit '7' is in the thousands place, representing 7,000.

Answer: 2

The digit '2' is in the tens place, which represents 20.

• 1,245
• 5,678
• 3,456
• 2,345

Answer: 5,678

'5' is in the hundreds place in the number 5,678.

Answer: 600

The digit '6' is in the hundreds place, which represents 600.

• 5
• 0.5
• 0.05
• 0.005

Answer: 0.5

The digit '5' is in the tenths place, which represents 0.5.