Understanding Decimal Multiplication

The video tutorial from Khan Academy explains how to evaluate the product of 7.5 and 0.061 using a known multiplication fact. It breaks down the numbers into fractions, rearranges the multiplication and division, and converts the result into a decimal. The tutorial also explains a technique for handling decimal placement in multiplication, providing a deeper understanding of why it works.

What is the product of 75 and 61?

• 4575

• 457

• 45750

• 457.5

How can 7.5 be expressed as a fraction?

• 7.5/1

• 7/5

• 75/10

• 75/100

What is the fraction representation of 0.061?

• 61/1000

• 6.1/1000

• 0.61/100

• 61/100

What is the denominator when dividing by 10 and then by 1000?

• 1000

• 100

• 10

• 10000

How is 4575/10000 written as a decimal?

• 4.575

• 45.75

• 0.4575

• 0.04575

Which place value is the fourth digit to the right of the decimal?

• Hundredths

• Tenths

• Ten-thousandths

• Thousandths

What is the alternative method for multiplying decimals?

• Remove decimals, multiply, then adjust decimal places

• Convert to fractions and multiply

• Add decimals, multiply, then adjust decimal places

• Multiply directly without adjusting

How many digits are to the right of the decimal in 7.5 and 0.061 combined?

• 5

• 4

• 3

• 2

Why do we adjust the decimal places after multiplying?

• To account for the original decimal places

• To make the number larger

• To simplify the calculation

• To convert to a fraction

What is the final decimal result of 7.5 times 0.061?

• 45.75

• 0.04575

• 4.575

• 0.4575