Understanding Decimal Multiplication

The video tutorial explains a multiplication problem involving 52 times 762, equaling 39,624. It guides viewers through matching expressions to their products by analyzing the digits and estimating the products based on decimal placement. The tutorial covers three expressions, providing a step-by-step estimation process for each, and confirms the correct order of the products. The exercise is part of a Khan Academy activity, encouraging viewers to pause and solve the problem independently.

What is the product of 52 times 762?

• 39.624

• 396.24

• 39,624

• 3,962.4

What remains constant in all expressions derived from 52 times 762?

• The decimal placement

• The number of expressions

• The digits 39624

• The order of multiplication

How can 0.52 be approximated for easier calculation?

• As 5

• As 50

• As 0.05

• As 0.5

What is the estimated product of 0.52 times 76.2?

• 396.24

• 38

• 3,962.4

• 39.624

What is the estimated product of 0.52 times 760?

• 396.24

• 39.624

• 3,962.4

• 400

How is 762 approximated for the expression 0.52 times 760?

• As 750

• As 700

• As 800

• As 760

What is the estimated product of 5.2 times 762?

• 3,962.4

• 4,000

• 39.624

• 396.24

How is 5.2 approximated for the expression 5.2 times 762?

• As 5

• As 52

• As 0.5

• As 50

What is the purpose of approximating numbers in these expressions?

• To make calculations more complex

• To simplify the estimation process

• To change the order of digits

• To increase the number of expressions

Why is it important to verify the order of expressions?

• To confirm the expressions are in the correct order

• To add more expressions

• To change the expressions

• To ensure the expressions are incorrect