Exploring Patterns in Multiplying by Powers of Ten

The video tutorial explains how to multiply whole numbers by powers of 10 using place value. It begins with a practical problem involving corn planting, then delves into the concept of place value and how it affects multiplication. The distributive property is introduced as a strategy to simplify multiplication. Common errors in multiplication are addressed, followed by an explanation of powers of 10. The use of base ten blocks is demonstrated to visualize multiplication, and patterns in multiplying by powers of 10 are explored. Finally, the tutorial applies these concepts to solve the initial corn planting problem.

How many corn plants are there in total if a farmer planted 84 rows of corn with 100 plants in each row?

• 8,040

• 8,400

• 84,000

• 840

What is the value of the digit 5 in the numeral 57,428?

• 5

• 50,000

• 50

• 500

What is the product of 85 and 8?

• 688

• 800

• 850

• 680

How can you simplify the multiplication of 59 by 10 using the distributive property?

• 50 + 9

• 50 x 10 + 9 x 10

• 59 x 10

• 50 x 9 + 10

What is a common misunderstanding students have when multiplying numbers?

• Not subtracting correctly

• Not adding correctly

• Not considering the place value of digits

• Not dividing correctly

What is the result of multiplying 10 by itself three times?

• 1,000

• 100,000

• 100

• 10,000

How can you represent 32 times 10 using base ten blocks?

• 30 x 10 + 2 x 10

• 32 x 10

• 30 + 2

• 3 x 10 + 2 x 10

What happens to the digits in a number when it is multiplied by a power of 10?

• They disappear

• They shift to the right

• They stay the same

• They shift to the left

How many zeros are added to a number when it is multiplied by 100?

• Four

• Two

• One

• Three

What is the final result of multiplying 84 by 100?

• 8,400

• 8,040

• 84,000

• 840