Question

Which of the following numbers represents $60$ million?

• A. $60\times {10}^5$
• B. $600\times {10}^6$
• C. $6\times {10}^7$
• D. $6\times {10}^6$

Answer 1

The correct option is C $6\times {10}^7$

Let's first find out the simplified value of $60$ million:

$60\text{million}$
$=60\times 1,000,000$
$=60,000,000$

$\underset{–}{\text{Option (a.)}:60\times {10}^5=60.0\times {10}^5}$

We know that multiplying $60.0$ by ${10}^5$ is responsible to move the decimal point $5$ units to the right, i.e.,

$60.0\times {10}^5$
$=6,000,000.0$
$=6,000,000\left(6\text{million}\right)$

$\underset{–}{\text{Option (b.)}:600\times {10}^6=600.0\times {10}^6}$

We know that multiplying $600.0$ by ${10}^6$ is responsible to move the decimal point $6$ units to the right, i.e.,

$600.0\times {10}^6$
$=600,000,000.0$
$=600,000,000\left(600\text{million}\right)$

$\underset{–}{\text{Option (c.)}:6\times {10}^7=6.0\times {10}^7}$

We know that multiplying $6.0$ by ${10}^7$ is responsible to move the decimal point $7$ units to the right, i.e.,

$6.0\times {10}^7$
$=60,000,000.0$
$=\underset{–}{60,000,000\left(60\text{million}\right)}$

$\underset{–}{\text{Option (d.)}:6\times {10}^6=6.0\times {10}^6}$

We know that multiplying $6.0$ by ${10}^6$ is responsible to move the decimal point $6$ units to the right, i.e.,

$6.0\times {10}^6$
$=6,000,000.0$
$=6,000,000\left(6\text{million}\right)$

As $6\times {10}^7$ is equal to $60\text{million}$, option (c.) is the correct one.