Question

Missouri: 1, point, 8, 1, times, 10, to the power 51.81×10 5 square kilometers new hampshire: 2, point, 4, 2, times, 10, to the power 42.42×10 4 square kilometers. How many times larger is missouri than new hampshire? Write your answer in standard notation, rounding to the nearest tenth.

Answer 1

Missouri is approximately 24 times larger than New Hampshire when comparing their areas in standard notation.

Step-by-step explanation:

To determine how many times larger Missouri is than New Hampshire, we need to divide the area of Missouri by the area of New Hampshire. Missouri's area is given as 5.81×105 square kilometers, and New Hampshire's area is 2.42×104 square kilometers. To compare them, we express these numbers in standard notation.

Missouri's area in standard notation is 581,000 sq km (since 5.81 x 105 equals 581,000). New Hampshire's area is 24,200 sq km (2.42 x 104 equals 24,200).

Dividing Missouri's area by New Hampshire's area gives us: 581,000 ÷ 24,200 = approximately 24. Therefore, Missouri is approximately 24 times larger than New Hampshire.

To round to the nearest tenth, the factor does not have any digits beyond the decimal point, so it remains 24.0.