Let's break down the question and solve it step-by-step to determine whether the statement is true or false.
1. Calculate the tax rate:
Convert the percentage to a decimal. To convert [tex]\(4 \frac{1}{5} \%\)[/tex] to a decimal:
[tex]\[
4 \frac{1}{5} \% = 4.2 \%
\][/tex]
As a decimal:
[tex]\[
4.2\% = \frac{4.2}{100} = 0.042
\][/tex]
2. Original price:
The price given is [tex]\( \$ 63.78 \)[/tex].
3. Calculate the tax:
To find the tax, multiply the price by the tax rate:
[tex]\[
\text{Tax} = 0.042 \times 63.78 = 2.67876
\][/tex]
Therefore, the tax is [tex]\( \$ 2.67876 \)[/tex].
4. Multiply 4.2 times 63.78:
According to the statement, we need to multiply 4.2 by 63.78 to check for consistency:
[tex]\[
4.2 \times 63.78 = 267.876
\][/tex]
Given the numerical results:
- The calculated tax is [tex]\( \$ 2.67876 \)[/tex].
- The product of multiplying 4.2 times 63.78 is 267.876.
Since the statement "To calculate [tex]\( 4 \frac{1}{5} \% \)[/tex] tax on [tex]\( \$ 63.78 \)[/tex], multiply 4.2 times 63.78" suggests multiplying the percentage (4.2) directly by the price (63.78) instead of taking the correct percentage of the price, it is false.
The correct procedure to calculate the tax involves converting the percentage to a decimal and then multiplying by the price, which yields a different result.
Therefore, the answer is:
False
