Multiplication, the process of combining equal groups, is a fundamental arithmetic operation. Before the advent of calculators, multiplication was performed manually using a variety of methods. One such method is known as the “multiplication by hand” technique.
The multiplication by hand method involves breaking down the multiplication problem into a series of simpler steps. This is particularly useful when multiplying large numbers or when a calculator is not available.
Cross-multiplication of fractions is a mathematical technique used to solve proportions involving fractions. It involves multiplying the numerator of one fraction by the denominator of the other fraction, and vice versa, and then setting the products equal to each other.
This technique is particularly useful when trying to find the value of an unknown fraction in a proportion. For example, if we have the proportion 2/3 = x/6, we can cross-multiply to get 2 6 = 3 x, which simplifies to 12 = 3x. Dividing both sides by 3, we find that x = 4.
