The video tutorial explains why zeros are often needed in multiplication, especially in vertical format. It reviews the commutative and distributive properties of multiplication and demonstrates the use of placeholders through examples. The first example shows multiplying 12 by 4, highlighting the importance of aligning digits by place value. The second example involves multiplying 542 by 136, further illustrating the concept of placeholders in partial products.

Why is it important to understand the commutative property in multiplication?

• It is used for division.

• It simplifies subtraction.

• It allows multiplication in any order.

• It helps in adding numbers.

What mistake is commonly made when multiplying numbers vertically without using zeros?

• The numbers are divided instead.

• The product is always zero.

• The digits are not aligned by place value.

• The multiplication becomes addition.

In the example of multiplying 12 by 4, what is the purpose of the zero placeholder?

• To make the number larger.

• To align digits by place value.

• To convert the number to expanded form.

• To simplify the multiplication.

When multiplying 542 by 136, why are zeros added before multiplying by 30 and 100?

• To reduce the number of steps.

• To ensure digits are aligned by place value.

• To avoid using the distributive property.

• To make the calculation faster.

What is the final product of multiplying 542 by 136?

• 75,712

• 72,312

• 73,712

• 74,712