Multiplying Decimals and Whole Numbers

The video tutorial explains how to multiply two decimal numbers, 1.21 and 0.043, by first simplifying the problem to a multiplication of whole numbers, 121 and 43. It then demonstrates the step-by-step multiplication process and explains how to adjust the result to account for the decimal places. The tutorial concludes by showing the final product, 0.05203, and provides a method to verify the number of decimal places in the result.

What is the first step in simplifying the multiplication of decimals?

• Add the numbers first

• Ignore the decimals and multiply as whole numbers

• Convert the numbers to fractions

• Divide the numbers by 10

What is the product of 3 times 121?

• 403

• 363

• 323

• 393

What is the result of 40 times 100?

• 40,000

• 400

• 400,000

• 4,000

What is the purpose of adding zeros in the tens place during multiplication?

• To align the numbers correctly

• To account for the place value

• To simplify the addition

• To increase the product

How do you adjust the product of whole numbers to account for decimals?

• Subtract 1,000 from the product

• Add 100 to the product

• Multiply by 10

• Divide by 100,000

What operation is performed to go from 1.21 to 121?

• Subtracting 100

• Adding 100

• Multiplying by 100

• Dividing by 100

What is the final product of 1.21 times 0.043?

• 0.5203

• 0.05203

• 5.203

• 52.03

How many decimal places should the final product have?

• Six

• Four

• Three

• Five

What is the equivalent of multiplying by 100,000 in terms of decimal movement?

• Moving the decimal two places to the left

• Moving the decimal five places to the right

• Moving the decimal five places to the left

• Moving the decimal two places to the right

Why is it necessary to divide by 100,000 after multiplying the whole numbers?

• To adjust for the decimal places

• To simplify the calculation

• To increase the product

• To convert to a fraction