Question

Find the 123 × 43 =
using distributive law

Answer 1

The result of the expression 123 × 43, using the distributive law, is 5292.

Explanation:

In mathematics, the distributive law is a fundamental property that allows us to expand expressions by distributing a factor across the terms inside parentheses. The expression 123 × 43 can be rewritten using the distributive law as (100 + 20 + 3) × 43. Now, we distribute the 43 to each term inside the parentheses:

(100 × 43) + (20 × 43) + (3 × 43)

Calculating each term separately, we get:

4300 + 860 + 129

Adding these results together gives the final answer:

5292

Therefore, using the distributive law, we have broken down the multiplication into simpler steps, making it easier to calculate. This method not only helps in simplifying expressions but also provides a clear understanding of the mathematical operations involved. It is a powerful tool that is widely used in algebraic manipulations and serves as a foundation for more complex mathematical concepts.

Answer 2

The result of the expression 123 × 43, using the distributive law, is 5292.

Step-by-step explanation:

In mathematics, the distributive law is a fundamental property that allows us to expand expressions by distributing a factor across the terms inside parentheses. The expression 123 × 43 can be rewritten using the distributive law as (100 + 20 + 3) × 43. Now, we distribute the 43 to each term inside the parentheses:

(100 × 43) + (20 × 43) + (3 × 43)

Calculating each term separately, we get:

4300 + 860 + 129

Adding these results together gives the final answer:

5292

Therefore, using the distributive law, we have broken down the multiplication into simpler steps, making it easier to calculate. This method not only helps in simplifying expressions but also provides a clear understanding of the mathematical operations involved. It is a powerful tool that is widely used in algebraic manipulations and serves as a foundation for more complex mathematical concepts.