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 4,256, the digit 4 is in the thousands place, meaning it represents 4,000. The digit 2 is in the hundreds place, representing 200, the 5 is in the tens place, representing 50, and the 6 is in the ones place, representing 6. Understanding place value helps us read, write, and compare numbers effectively.

Let's take the number 3,478. To understand its place value, we can break it down: 3,000 (3 in the thousands place), 400 (4 in the hundreds place), 70 (7 in the tens place), and 8 (8 in the ones place). We can write this as 3,000 + 400 + 70 + 8. This breakdown helps us see how much each digit contributes to the overall value of the number.

Now, let's practice identifying the place values of digits in a number. Look at the number 5,632. What is the value of the digit 6? Students should recognize that 6 is in the hundreds place, so its value is 600. Next, what about the digit 3? Students should identify that 3 is in the tens place, giving it a value of 30. This exercise reinforces the concept of place value and helps students become more comfortable with larger numbers.

For independent practice, students will complete a worksheet with various problems related to place value. They will be asked to write numbers in expanded form, identify the place value of specific digits, and compare two numbers based on their place values. For example, they might be given the number 7,245 and asked to express it as 7,000 + 200 + 40 + 5. This will help solidify their understanding of how to manipulate and analyze numbers based on their place values.

• 90
• 900
• 9,000
• 9

Answer: 9,000

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

• 3
• 30
• 300
• 3,000

Answer: 300

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

Answer: 4,000 + 500 + 60 + 7

In expanded form, we break down each digit based on its place value.

• 3,245
• 5,678
• 2,134
• 4,890

Answer: 5,678

In 5,678, the digit in the tens place is 7, which is greater than 5.

Answer: 2,000

The digit 2 is in the thousands place, so it represents 2,000.

• 1
• 10
• 100
• 1,000

Answer: 10

The digit 1 is in the tens place, giving it a value of 10.

Answer: 6,000 + 700 + 80 + 9

Each digit is represented by its place value in expanded form.

• 1,234
• 2,345
• 4,567
• 5,678

Answer: 4,567

In 4,567, the digit in the hundreds place is indeed 4.