Question

1. the areas of the 50 states can be measured in square miles.

california is 158,648 square miles. nevada is 110,567 square miles. arizona is 114,007 square miles.
texas is 266,874 square miles. montana is 147,047 square miles, and alaska is 587,878 square miles.
arrange the states in order from least area to greatest area.

Explanation:

Step1: List the areas

California: \(158,648\)
Nevada: \(110,567\)
Arizona: \(114,007\)
Texas: \(266,874\)
Montana: \(147,047\)
Alaska: \(587,878\)

Step2: Compare the numbers

First, compare the five - digit and six - digit numbers. All these numbers are six - digit numbers. We start by comparing the left - most digit (hundred - thousands place).

• Nevada: \(110,567\) (hundred - thousands digit is 1, ten - thousands digit is 1)
• Arizona: \(114,007\) (hundred - thousands digit is 1, ten - thousands digit is 1, thousands digit is 4)
• Montana: \(147,047\) (hundred - thousands digit is 1, ten - thousands digit is 4)
• California: \(158,648\) (hundred - thousands digit is 1, ten - thousands digit is 5)
• Texas: \(266,874\) (hundred - thousands digit is 2)
• Alaska: \(587,878\) (hundred - thousands digit is 5)

Comparing the numbers with the same hundred - thousands digit (1):

• Compare Nevada (\(110,567\)) and Arizona (\(114,007\)): Since \(110,567<114,007\) (because the thousands digit of Nevada is 0 and of Arizona is 4)
• Then compare Arizona (\(114,007\)) with Montana (\(147,047\)): Since \(114,007<147,047\) (because the ten - thousands digit of Arizona is 1 and of Montana is 4)
• Then compare Montana (\(147,047\)) with California (\(158,648\)): Since \(147,047<158,648\) (because the ten - thousands digit of Montana is 4 and of California is 5)

Then compare California (\(158,648\)) with Texas (\(266,874\)): Since \(158,648 < 266,874\) (because the hundred - thousands digit of California is 1 and of Texas is 2)

Then compare Texas (\(266,874\)) with Alaska (\(587,878\)): Since \(266,874<587,878\) (because the hundred - thousands digit of Texas is 2 and of Alaska is 5)

Answer:

Nevada (\(110,567\) square miles), Arizona (\(114,007\) square miles), Montana (\(147,047\) square miles), California (\(158,648\) square miles), Texas (\(266,874\) square miles), Alaska (\(587,878\) square miles)