Use scientific notation to determine which of these numbers is greater. 34,835,760 or 43,835,760. Write your answer in scientific notation expressed to the exact decimal place.

Answer 1

To compare the two numbers 34,835,760 and 43,835,760 using scientific notation, we first convert both numbers into scientific notation.

1. Convert 34,835,760 to scientific notation: \[ 34,835,760 = 3.4835760 \times 10^7 \] (We moved the decimal point 7 places to the left.)

2. Convert 43,835,760 to scientific notation: \[ 43,835,760 = 4.3835760 \times 10^7 \] (We also moved the decimal point 7 places to the left here.)

Now we can compare the numbers in scientific notation:

• \(3.4835760 \times 10^7\)
• \(4.3835760 \times 10^7\)

Since both numbers have the same exponent of \(10^7\), we only need to compare the coefficients (the numbers in front):

• \(3.4835760\) versus \(4.3835760\)

Clearly, \(4.3835760\) is greater than \(3.4835760\). Therefore,

\[ 43,835,760 > 34,835,760 \]

In scientific notation, the greater number is \(4.3835760 \times 10^7\).