Question

(a) write 24.35% as a decimal.
(b) write 7.1 as a percentage.
(a) 24.35% =
(b) 7.1 = %

Explanation:

Part (a)

Step 1: Recall percentage to decimal conversion

To convert a percentage to a decimal, we divide by 100 (which is equivalent to moving the decimal point two places to the left).
\[ 24.35\%=\frac{24.35}{100} \]

Step 2: Perform the division

Dividing 24.35 by 100 gives:
\[ \frac{24.35}{100} = 0.2435 \]

Step 1: Recall decimal to percentage conversion

To convert a decimal to a percentage, we multiply by 100 (which is equivalent to moving the decimal point two places to the right).
\[ 7.1\times100 \]

Step 2: Perform the multiplication

Multiplying 7.1 by 100 gives:
\[ 7.1\times100 = 710 \]
So, \( 7.1 = 710\% \)

Answer:

\( 0.2435 \)

Part (b)