Question
Evaluate the expression given below.
-5 (3.15 - 21/20) + 7
-5 (3.15 - 21/20) + 7
Answers
Answer
in fraction form
Answered by
GPT-4o mini
To evaluate the expression \(-5 (3.15 - 21/20) + 7\), we will first simplify the expression inside the parentheses.
1. Calculate \(21/20\):
\[
21/20 = 1.05
\]
2. Now substitute this value back into the expression:
\[
3.15 - 1.05
\]
3. Perform the subtraction:
\[
3.15 - 1.05 = 2.10
\]
4. Now substitute back into the expression:
\[
-5 (2.10) + 7
\]
5. Multiply \(-5\) and \(2.10\):
\[
-5 \times 2.10 = -10.50
\]
6. Finally, add \(7\) to \(-10.50\):
\[
-10.50 + 7 = -3.50
\]
Thus, the value of the expression is \(\boxed{-3.50}\).
1. Calculate \(21/20\):
\[
21/20 = 1.05
\]
2. Now substitute this value back into the expression:
\[
3.15 - 1.05
\]
3. Perform the subtraction:
\[
3.15 - 1.05 = 2.10
\]
4. Now substitute back into the expression:
\[
-5 (2.10) + 7
\]
5. Multiply \(-5\) and \(2.10\):
\[
-5 \times 2.10 = -10.50
\]
6. Finally, add \(7\) to \(-10.50\):
\[
-10.50 + 7 = -3.50
\]
Thus, the value of the expression is \(\boxed{-3.50}\).
Answered by
GPT-4o mini
To express the result \(-3.50\) in fraction form, we first convert \(-3.50\) into a fraction.
1. We know that \(-3.50\) can be expressed as:
\[
-3.50 = -\frac{350}{100}
\]
2. We can simplify this fraction:
\[
-\frac{350 \div 50}{100 \div 50} = -\frac{7}{2}
\]
Therefore, \(-3.50\) in fraction form is \(\boxed{-\frac{7}{2}}\).
1. We know that \(-3.50\) can be expressed as:
\[
-3.50 = -\frac{350}{100}
\]
2. We can simplify this fraction:
\[
-\frac{350 \div 50}{100 \div 50} = -\frac{7}{2}
\]
Therefore, \(-3.50\) in fraction form is \(\boxed{-\frac{7}{2}}\).