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- (a) ≈ 2.98
- (o) = 1.68
- (e) = 1.77
Solución
Calculate the value by following steps:
- step0: Calculate:
\(-3.48+\left(7.36+1.24\right)\times 0.6\)
- step1: Add the numbers:
\(-3.48+8.6\times 0.6\)
- step2: Multiply the numbers:
\(-3.48+5.16\)
- step3: Add the numbers:
\(1.68\)
Calculate or simplify the expression \( 4.7-7.8*0.3/1.36 \).
Calculate the value by following steps:
- step0: Calculate:
\(4.7-\frac{7.8\times 0.3}{1.36}\)
- step1: Multiply the numbers:
\(4.7-\frac{2.34}{1.36}\)
- step2: Divide the terms:
\(4.7-\frac{117}{68}\)
- step3: Convert the expressions:
\(\frac{47}{10}-\frac{117}{68}\)
- step4: Reduce fractions to a common denominator:
\(\frac{47\times 34}{10\times 34}-\frac{117\times 5}{68\times 5}\)
- step5: Multiply the numbers:
\(\frac{47\times 34}{340}-\frac{117\times 5}{68\times 5}\)
- step6: Multiply the numbers:
\(\frac{47\times 34}{340}-\frac{117\times 5}{340}\)
- step7: Transform the expression:
\(\frac{47\times 34-117\times 5}{340}\)
- step8: Multiply the numbers:
\(\frac{1598-117\times 5}{340}\)
- step9: Multiply the numbers:
\(\frac{1598-585}{340}\)
- step10: Subtract the numbers:
\(\frac{1013}{340}\)
Calculate or simplify the expression \( -2.65-1.44/-1.2+3.22 \).
Calculate the value by following steps:
- step0: Calculate:
\(-2.65-\frac{1.44}{\left(-1.2\right)}+3.22\)
- step1: Remove the parentheses:
\(-2.65-\frac{1.44}{-1.2}+3.22\)
- step2: Use the rules for multiplication and division:
\(-2.65+\frac{1.44}{1.2}+3.22\)
- step3: Divide the terms:
\(-2.65+\frac{6}{5}+3.22\)
- step4: Add the numbers:
\(0.57+\frac{6}{5}\)
- step5: Convert the expressions:
\(\frac{57}{100}+\frac{6}{5}\)
- step6: Reduce fractions to a common denominator:
\(\frac{57}{100}+\frac{6\times 20}{5\times 20}\)
- step7: Multiply the numbers:
\(\frac{57}{100}+\frac{6\times 20}{100}\)
- step8: Transform the expression:
\(\frac{57+6\times 20}{100}\)
- step9: Multiply the numbers:
\(\frac{57+120}{100}\)
- step10: Add the numbers:
\(\frac{177}{100}\)
Let's solve each expression step by step.
### (a) \( 4.7 - 7.8 \times 0.3 : 1.36 \)
1. **Calculate \( 7.8 \times 0.3 \)**:
\[
7.8 \times 0.3 = 2.34
\]
2. **Now divide by \( 1.36 \)**:
\[
\frac{2.34}{1.36} \approx 1.720588
\]
3. **Finally, subtract from \( 4.7 \)**:
\[
4.7 - 1.720588 \approx 2.979412
\]
So, the result for (a) is approximately \( 2.979412 \).
### (o) \( -3.48 + (7.36 + 1.24) \times 0.6 = 1 \)
1. **Calculate \( 7.36 + 1.24 \)**:
\[
7.36 + 1.24 = 8.6
\]
2. **Now multiply by \( 0.6 \)**:
\[
8.6 \times 0.6 = 5.16
\]
3. **Finally, add to \( -3.48 \)**:
\[
-3.48 + 5.16 = 1.68
\]
So, the result for (o) is \( 1.68 \).
### (e) \( -2.65 - \frac{1.44}{-1.2} + 3.22 = 1.77 \)
1. **Calculate \( \frac{1.44}{-1.2} \)**:
\[
\frac{1.44}{-1.2} = -1.2
\]
2. **Now substitute back into the expression**:
\[
-2.65 - (-1.2) + 3.22
\]
3. **This simplifies to**:
\[
-2.65 + 1.2 + 3.22
\]
4. **Calculate step by step**:
- First, \( -2.65 + 1.2 = -1.45 \)
- Then, \( -1.45 + 3.22 = 1.77 \)
So, the result for (e) is \( 1.77 \).
### Summary of Results:
- (a) \( \approx 2.979412 \)
- (o) \( 1.68 \)
- (e) \( 1.77 \)
Respondido por UpStudy AI y revisado por un tutor profesional

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