2. \( d \times(g+h)=(d \times g)+(d \times h) \)

This equation demonstrates the distributive property of multiplication over addition, a fundamental concept in algebra. The distributive property allows you to multiply a number by a sum by distributing the multiplication across each term in the sum. For example, if \( d = 2 \), \( g = 3 \), and \( h = 4 \), the equation shows that \( 2 \times (3 + 4) \) equals \( 2 \times 3 + 2 \times 4 \), which both yield 14. In real-world applications, this property helps simplify computations in numerous scenarios, like calculating total expenses. Say you're budgeting for groceries that include fruits and snacks. Instead of adding them up first and then multiplying by the unit price, you can calculate the price for each item separately and then sum them up. This can save time and reduce errors, especially when dealing with larger numbers or more complicated equations!