Understanding Place Value and Volume

This video tutorial covers lesson 2.1 on understanding place value. It begins with an introduction to the materials needed, followed by exercises on calculating volume using given formulas. The lesson then transitions to a warm-up on identifying the value of digits in numbers, before moving on to writing numbers in expanded and standard form. Finally, it explores comparing the values of digits in different positions, emphasizing the concept of ten times greater or one-tenth smaller.

What materials do you need for this lesson?

• Whiteboard, marker, eraser, and math journal

• Laptop and internet connection

• Notebook, pen, and calculator

• Textbook and ruler

How do you calculate the volume of a figure with given length, width, and height?

• Add the length, width, and height

• Multiply the length, width, and height

• Subtract the width from the length and add the height

• Divide the length by the width and multiply by the height

If the base area is 20 square units and the height is 4 units, what is the volume?

• 80 cubic units

• 24 cubic units

• 40 cubic units

• 16 cubic units

What is the value of the digit 2 in the number 230?

• 2

• 20

• 200

• 2000

What happens to the value of a digit when you move it one place to the left?

• It becomes 10 times greater

• It becomes 100 times greater

• It remains the same

• It becomes 10 times smaller

How can you write the number 65,582 in expanded form?

• 60,000 + 5,000 + 500 + 80 + 2

• 6,000 + 500 + 50 + 8 + 2

• 600 + 50 + 5 + 8 + 2

• 60 + 5 + 5 + 8 + 2

What is the standard notation of the expanded form 4 x 100,000 + 5 x 10,000 + 3 x 100 + 6 x 10 + 2?

• 450,362

• 450,306

• 405,362

• 450,362

What is the value of the digit 4 in the number 348,621?

• 40,000

• 4

• 40

• 400

If the value of 7 in 732 is 700, what is its value in 7,320?

• 70,000

• 7,000

• 700

• 70

What is the value of the digit 2 in the number 30,275?

• 2

• 20

• 200

• 2,000