Encouraging equality is important in the world; however, sometimes we are faced with inequality in the world of mathematics. In this section, we will use inequalities and the place value system to compare the sizes of numbers. Also, we will use the place value system to find numbers in between given pairs of numbers. When comparing the sizes of numbers, we start by looking at the digits in places with the largest values, according to the place value system. For example, digits in the thousands place are larger than digits in the ones place.