Strategy: H T O 3 2 2 2 2 3 2 3 2 First we focus on the hundreds place, since those numbers have the greatest value. What do you see? a 3, and 2 twos Since we are looking for the smallest number, we will disregard the 3 groups of a hundreds for now. But we have two 2 groups of a hundred. So we have to look where? the tens place The first number with a 2 in the hundreds place (2 groups of a hundred) has a 2 in the tens place or 2 groups of ten. The second number with a 2 in the hundreds place has a 3 in the tens place. Which is less, 2 groups of ten or 3 groups of ten? 2 groups of ten So which number is the smallest? (223) Mark it with a 1. Mark the other 2 hundred number with a 2. And what do we mark the 3 hundred number with? (3) Why? (because it is the largest, so it comes last) Write the numbers from least to greatest. 223, 232, 322 How could this relationship be written using < symbols? (223 < 232 < 322) Which number comes between the smallest and the largest number? (232) Have students read inequalities to a partner. As a class, come up with a statement to explain how they got the answer. An example of what the completed 4-step process may look like can be found on the following page.
Strategy: H T O 3 2 2 2 2 3 2 3 2 First we focus on the hundreds place, since those numbers have the greatest value. What do you see? a 3, and 2 twos Since we are looking for the smallest number, we will disregard the 3 groups of a hundreds for now. But we have two 2 groups of a hundred. So we have to look where? the tens place The first number with a 2 in the hundreds place (2 groups of a hundred) has a 2 in the tens place or 2 groups of ten. The second number with a 2 in the hundreds place has a 3 in the tens place. Which is less, 2 groups of ten or 3 groups of ten? 2 groups of ten So which number is the smallest? (223) Mark it with a 1. Mark the other 2 hundred number with a 2. And what do we mark the 3 hundred number with? (3) Why? (because it is the largest, so it comes last) Write the numbers from least to greatest. 223, 232, 322 How could this relationship be written using < symbols? (223 < 232 < 322) Which number comes between the smallest and the largest number? (232) Have students read inequalities to a partner. As a class, come up with a statement to explain how they got the answer. An example of what the completed 4-step process may look like can be found on the following page.