Question

the international border between the united states and mexico is approximately 1.951×10³ miles in length. what is this distance in standard form?

a. 195,100 miles

b. 195.1 miles

c. 1,951 miles

d. 19,510 miles

Explanation:

Step1: Recall scientific - notation rule

To convert a number in scientific notation \(a\times10^{n}\) to standard form, if \(n> 0\), we move the decimal point \(n\) places to the right. Here \(a = 1.951\) and \(n = 3\).

Step2: Move the decimal point

Starting with \(1.951\), moving the decimal point 3 places to the right gives \(1951\). Then \(1.951\times10^{3}=1951\).

Answer:

C. 1,951 miles