Mathematics - Term 1 - Week 2

Place value is the value of a digit based on its position in a number. For example, in the number 4,562, the digit 4 is in the thousands place, meaning it represents 4,000. The digit 5 is in the hundreds place, representing 500, and so on. Understanding place value helps us read, write, and compare numbers accurately.

Let's take the number 3,478. We can break it down by place value: 3 in the thousands place is 3,000, 4 in the hundreds place is 400, 7 in the tens place is 70, and 8 in the ones place is 8. So, 3,478 can be expressed as 3,000 + 400 + 70 + 8. This method helps us understand the contribution of each digit to the overall value of the number.

Now, let's practice together. I will write the number 5,236 on the board. Can anyone tell me what the value of the digit 2 is? (Pause for responses.) Correct! The digit 2 is in the hundreds place, so it represents 200. Let's identify the values of the other digits together: 5 is 5,000, 3 is 30, and 6 is 6. This exercise helps reinforce our understanding of how each digit contributes to the whole number.

Now it's your turn! Solve the following problems on your own. 1. What is the value of the digit 7 in the number 7,842? 2. Break down the number 6,305 into its place values. Show your working clearly. Remember to check your answers and correct any mistakes you find!

• 90
• 900
• 9,000
• 9

Answer: 9,000

The digit 9 is in the thousands place, so it represents 9,000.

• 4
• 5
• 6
• 7

Answer: 6

In the number 4,567, the digit 6 is in the tens place.

Answer: 300

The digit 3 is in the hundreds place, so its place value is 300.

• 2,000 + 300 + 40 + 5
• 2 + 3 + 4 + 5
• 200 + 30 + 4 + 5
• 2,000 + 30 + 4

Answer: 2,000 + 300 + 40 + 5

The correct breakdown of 2,345 is 2,000 + 300 + 40 + 5.

Answer: 0

The digit 0 is in the hundreds place, so its value is 0.

• 1
• 10
• 100
• 1,000

Answer: 1

The digit 1 is in the ones place, so it represents 1.

Answer: 1,000 + 200 + 30 + 4

The breakdown of 1,234 is 1,000 + 200 + 30 + 4.

• 60
• 600
• 6,000
• 6

Answer: 6,000

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