Multiply whole numbers by a multiple of 10 by using place value

Multiplying whole numbers by multiples of 10 is a fundamental mathematical skill that relies on understanding place value. Through a series of exercises, learners are encouraged to find matching pairs by calculating the product of whole numbers and multiples of 10. For instance, they'll match 30 × 2 with its correct product or identify the missing factor in equations such as 5 × 20. Additionally, students are prompted to notice patterns in multiplication, such as the products of 2 when multiplied by increasing multiples of 10 (2 × 10, 2 × 20, etc.), and to create their own matching pairs problems to deepen their comprehension.

Further activities challenge pupils to solve problems involving negative numbers and to convince others that a two-digit number multiplied by a multiple of 10 can yield a four-digit product. They are tasked with agreeing or disagreeing with statements like "50 × 4 = 40 × 5" and using digits 0-9 to complete equations with missing numbers. This not only reinforces their understanding of place value but also encourages logical reasoning and problem-solving skills. The exercises culminate in tasks where learners apply their knowledge to calculate the products of various combinations of whole numbers and multiples of 10, such as 7 × 30 or 9 × 40, further solidifying their grasp on this key mathematical concept.