Question

Choose the correct relationship between the numbers $2.5\times {10}^6$ and 25,000,000.

• A. Cannot be determined.
• B. $2.5\times {10}^6<25,000,000$
• C. $2.5\times {10}^6>25,000,000$
• D. $2.5\times {10}^6=25,000,000$

Answer 1

The correct option is B $2.5\times {10}^6<25,000,000$

Step 1:
Write the given numbers in scientific notation.
$2.5\times {10}^6$ is already in scientific notation.
25,000,000.0 can be written in scientific notation by moving the decimal point seven places to the left.
Hence, 25,000,000 $=2.5\times {10}^7$

Step 2:
Compare the exponents of the numbers. The greater the exponent, the greater the number.
6 < 7
$\Rightarrow 2.5\times {10}^6<2.5\times {10}^7$
$\Rightarrow 2.5\times {10}^6<25,000,000$