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, meaning it represents 4,000. Understanding place value helps us read, write, and compare numbers accurately. Each position in a number has a different value, which increases by ten as you move left and decreases by ten as you move right.

Let's take the number 3,276. We can break this down by place value: The '3' is in the thousands place (3,000), the '2' is in the hundreds place (200), the '7' is in the tens place (70), and the '6' is in the ones place (6). So, 3,276 can be expressed as 3,000 + 200 + 70 + 6. This breakdown helps us understand the contribution of each digit to the overall value of the number.

Now, let's practice identifying the place values of digits in a number together. Consider the number 5,431. What is the value of the digit '5'? (Answer: 5,000) What about the '4'? (Answer: 400) Let's write down the values of each digit together: 5,000 + 400 + 30 + 1. This exercise will help reinforce our understanding of how each digit contributes to the total value of the number.

Now it's your turn! Solve the following problems on your own. 1. What is the value of the digit '6' in the number 6,789? 2. Write the number 2,045 in expanded form. 3. Identify the place value of '9' in the number 9,123. Remember to show your working clearly so we can review it together!

• 7
• 70
• 700
• 7,000

Answer: 700

The digit '7' is in the hundreds place, which represents 700.

• 10
• 100
• 1
• 1,000

Answer: 10

The digit '1' is in the tens place, which represents 10.

Answer: 3,000 + 200 + 4

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

• 8
• 9
• 6
• 5

Answer: 8

The digit '8' is in the thousands place, representing 8,000.

Answer: 300

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

• 2
• 3
• 20
• 30

Answer: 30

The digit '3' is in the tens place, representing 30.

• 1,000 + 200 + 5
• 1,200 + 5
• 1,200 + 0 + 5
• 1,000 + 20 + 5

Answer: 1,000 + 200 + 5

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

Answer: 2,000

The digit '2' is in the thousands place, representing 2,000.