We want to order the numbers from least to greatest. We can start by looking at the given numbers.
42 %, 0.45, 2/5
Notice that the given numbers are written in different formats. In this case, our first step will be to rewrite all numbers as decimals.
Number
Write as Fraction
Write as Decimal
42 %
42/100
0.42
0.45
45/100
0.45
2/5
2/5=4/10
0.4
Now, we can compare the given numbers. To do so, we will plot the numbers on the number line.
Looking at the number line, we can see that the number farthest to the left is 0.4. This means that 0.4 is the least number. We can also notice that the number farthest to the right is 0.45. Therefore, the greatest number is 0.45. Let's use this information to order the numbers from least to greatest!
0.4, 0.42, 0.45 [0.2em]
⇕ [0.2em]
2/5, 42 %, 0.45
