The area of each of the four states shown of the united states is given as fractions, decimals or percents of the total area of the united states. Arrange the states in order from the largest area to the smallest area.
California-4.25%
Montana-1/30
New Mexico-0.072
Texas-9/125
1/30 = 0.0333= 3.33%
0.072 = 7.2%
9/125 = 7.2%
You should convert all of them to the same unit. I chose to use pecentages.
California is already written as a percent 4.25%
Montana: 1. Convert to a decimal by dividing 1 by
30 .0333. . .
2. Convert the decimal to a percent by
moving the decimal two places to the
right 3.3%
New Mexico: Move the decimal two places to the
right 7.2%
Texas: 1. Convert to a decimal by dividing 9 by
125. 0.072
2. Convert the decimal to a percent
7.2%
Percentages from greatest to least:
7.2% , 7.2% , 4.25%, 3.3%
To arrange the states in order from the largest to the smallest area, we need to convert all the given expressions into a common format. In this case, let's convert everything into decimals since it is the most straightforward format to compare.
First, let's convert the given expressions into decimals:
- California: 4.25%
To convert a percentage into a decimal, we divide it by 100. So, 4.25% becomes 0.0425 (4.25 รท 100).
- Montana: 1/30
To convert a fraction into a decimal, we divide the numerator by the denominator. So, 1 divided by 30 equals 0.0333 (approximately).
- New Mexico: 0.072
No conversion needed since it is already in the decimal format.
- Texas: 9/125
Again, we divide the numerator by the denominator to convert the fraction into a decimal. So, 9 divided by 125 equals 0.072 (approximately).
Now that we have all the areas represented in decimals, we can compare and arrange them in order from largest to smallest:
- Texas: 0.072
- New Mexico: 0.072
- California: 0.0425
- Montana: 0.0333
Therefore, the order from largest to smallest area is: Texas, New Mexico, California, Montana.