Let’s carefully examine the problem to determine whether Marcus’s calculation is correct.
1. Understanding percentages:
When we calculate a percentage of a number, we are essentially finding the proportion of that number.
2. Convert percentage to a decimal:
To convert 190% to a decimal:
[tex]\[
190\% = \frac{190}{100} = 1.90
\][/tex]
3. Calculate 190% of 20:
Next, we multiply 1.90 (the decimal form of 190%) by 20:
[tex]\[
1.90 \times 20
\][/tex]
4. Perform the multiplication:
Let's perform the multiplication step-by-step:
[tex]\[
1.90 \times 20 = 1.90 \times (2 \times 10)
\][/tex]
First, multiply 1.90 by 2:
[tex]\[
1.90 \times 2 = 3.80
\][/tex]
Then, multiply the result by 10:
[tex]\[
3.80 \times 10 = 38.0
\][/tex]
So, 190% of 20 is 38.0.
5. Verify Marcus's result:
Marcus initially calculated 1900% of 20, which gives on the table that looks similar to:
[tex]\[
1900 \% = 19.0 \quad \times 20 = 380.0
\][/tex]
But in this case, the problem statement should only cover 190%.
Marcus's calculation seems to mix up the positions, multiplying inaccurately meaning that he got 380 by mistakenly calculating 1900% instead of 190%.
Therefore, Marcus’s calculated answer of 380 is incorrect. The correct result for 190% of 20 is indeed 38.0.
