Question
Multiply −2 1/2 by −1 3/5 . Write the answer as a decimal.
Answers
GPT-4o mini
To multiply the mixed numbers \(-2 \frac{1}{2}\) and \(-1 \frac{3}{5}\), we first convert them to improper fractions.
1. Convert \(-2 \frac{1}{2}\) to an improper fraction:
\[
-2 \frac{1}{2} = -\left(2 \times 2 + 1\right)/2 = -\frac{5}{2}
\]
2. Convert \(-1 \frac{3}{5}\) to an improper fraction:
\[
-1 \frac{3}{5} = -\left(1 \times 5 + 3\right)/5 = -\frac{8}{5}
\]
Now, we multiply the two improper fractions:
\[
-\frac{5}{2} \times -\frac{8}{5}
\]
Since the product of two negative numbers is positive, we can simplify:
\[
\frac{5 \times 8}{2 \times 5} = \frac{40}{10} = 4
\]
Finally, converting \(4\) to a decimal gives us:
\[
4.0
\]
Thus, the answer is \(\boxed{4.0}\).
1. Convert \(-2 \frac{1}{2}\) to an improper fraction:
\[
-2 \frac{1}{2} = -\left(2 \times 2 + 1\right)/2 = -\frac{5}{2}
\]
2. Convert \(-1 \frac{3}{5}\) to an improper fraction:
\[
-1 \frac{3}{5} = -\left(1 \times 5 + 3\right)/5 = -\frac{8}{5}
\]
Now, we multiply the two improper fractions:
\[
-\frac{5}{2} \times -\frac{8}{5}
\]
Since the product of two negative numbers is positive, we can simplify:
\[
\frac{5 \times 8}{2 \times 5} = \frac{40}{10} = 4
\]
Finally, converting \(4\) to a decimal gives us:
\[
4.0
\]
Thus, the answer is \(\boxed{4.0}\).
as a decimal/
GPT-4o mini
The product of \(-2 \frac{1}{2}\) and \(-1 \frac{3}{5}\) has already been calculated as \(4\).
As a decimal, \(4\) can be expressed as:
\[
4.0
\]
So, the answer as a decimal is \(\boxed{4.0}\).
As a decimal, \(4\) can be expressed as:
\[
4.0
\]
So, the answer as a decimal is \(\boxed{4.0}\).
2.86 2.86 −4.1 negative 4.1 −4 negative 4 4 are the answer choices
GPT-4o mini
Let's reevaluate the multiplication of \(-2 \frac{1}{2}\) and \(-1 \frac{3}{5}\) step by step and ensure we convert everything back into decimal form to match the options you provided:
1. Convert \(-2 \frac{1}{2}\) to decimal:
\(-2 \frac{1}{2} = -2 - 0.5 = -2.5\)
2. Convert \(-1 \frac{3}{5}\) to decimal:
\(-1 \frac{3}{5} = -1 - 0.6 = -1.6\)
Now, multiply the two decimals:
\[
-2.5 \times -1.6
\]
Since multiplying two negative numbers gives a positive result:
\[
2.5 \times 1.6
\]
Now we multiply:
\[
2.5 \times 1.6 = 4.0
\]
Therefore, the final result in decimal form is:
\[
4.0
\]
Among the answer choices you provided, the correct answer is \(4\). Thus, the answer is \(\boxed{4}\).
1. Convert \(-2 \frac{1}{2}\) to decimal:
\(-2 \frac{1}{2} = -2 - 0.5 = -2.5\)
2. Convert \(-1 \frac{3}{5}\) to decimal:
\(-1 \frac{3}{5} = -1 - 0.6 = -1.6\)
Now, multiply the two decimals:
\[
-2.5 \times -1.6
\]
Since multiplying two negative numbers gives a positive result:
\[
2.5 \times 1.6
\]
Now we multiply:
\[
2.5 \times 1.6 = 4.0
\]
Therefore, the final result in decimal form is:
\[
4.0
\]
Among the answer choices you provided, the correct answer is \(4\). Thus, the answer is \(\boxed{4}\).
AS A DECIMAL PLEASE
GPT-4o mini
I understand that you're looking for the answer in decimal form among the options provided. After recalculating, here’s the step-by-step breakdown again:
1. Convert the mixed numbers to decimals:
- \(-2 \frac{1}{2} = -2.5\)
- \(-1 \frac{3}{5} = -1.6\)
2. Multiply the two decimal values:
\[
-2.5 \times -1.6
\]
3. Since both values are negative, the product will be positive:
\[
2.5 \times 1.6
\]
4. Perform the multiplication:
\[
2.5 \times 1.6 = 4.0
\]
So, the product is **4.0**.
From the options you provided, the answer as a decimal is \(4\) (or **4.0**), which corresponds to your choice: **4**.
Hence, the answer is \(\boxed{4.0}\) or simply \(4\).
1. Convert the mixed numbers to decimals:
- \(-2 \frac{1}{2} = -2.5\)
- \(-1 \frac{3}{5} = -1.6\)
2. Multiply the two decimal values:
\[
-2.5 \times -1.6
\]
3. Since both values are negative, the product will be positive:
\[
2.5 \times 1.6
\]
4. Perform the multiplication:
\[
2.5 \times 1.6 = 4.0
\]
So, the product is **4.0**.
From the options you provided, the answer as a decimal is \(4\) (or **4.0**), which corresponds to your choice: **4**.
Hence, the answer is \(\boxed{4.0}\) or simply \(4\).