Question

1. $- 0.5(- 0.7) =$
2. $\frac{-1}{2} \bullet - 6 \bullet 5 =$
3. $\frac{2}{5} div - \frac{1}{2} =$
4. $\frac{-1}{2} - \frac{7}{8} =$

Explanation:

Problem 11: $- 0.5(- 0.7) =$

Step1: Recall sign rule for multiplication

When multiplying two negative numbers, the result is positive. So we calculate the product of their absolute values.
$0.5\times0.7$

Step2: Multiply the decimals

$0.5\times0.7 = 0.35$

Step1: Multiply the first two numbers

First, multiply $\frac{-1}{2}$ and $-6$. The product of two negative numbers is positive, so $\frac{-1}{2}\times(-6)=\frac{6}{2}=3$

Step2: Multiply the result by 5

Now multiply 3 by 5: $3\times5 = 15$

Step1: Recall division rule for fractions

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{2}{5}\div(-\frac{1}{2})=\frac{2}{5}\times(-2)$

Step2: Multiply the fractions

Multiply the numerators and denominators: $\frac{2\times(-2)}{5\times1}=\frac{-4}{5}$

Answer:

$0.35$

Problem 12: $\frac{-1}{2}\cdot - 6\cdot 5 =$