Question

(a) Convert 112,000 to scientific notation.

(b) Convert $5.25\times {10}^{-4}$to decimal form.

Short answer

The resultant values are-

(a) $1.12\times {10}^5$$1.2\times {10}^5$

(b) $0.000525$

Step-by-step solution

Part (a) Step 1. Given Information

The given number is 112,000.

Part (a) Step 2. Use Scientific Notation Rule

• To write 112,000 in scientific notation, place the decimal after first digit of the number and then multiply with the required exponent of 10.

$112,000=1.12\times {10}^5$

• So, the scientific form of the number is$1.12\times {10}^5$.

Part (b) Step 1. Given Information

The given number in scientific form is $5.25\times {10}^{-4}$.

Part (b) Step 2. Use Scientific Notation Rule:

• To write the number in decimal form, remove the exponent of 10 from the expression.

$\begin{array}{rcl}5.25\times {10}^{-4}& =& 5.25\times \frac{1}{10000}\\ & =& 0.000525\end{array}$

• So, the decimal form of the number is$0.000525$.