Question

А) -0,2²×1 2/3+1/30:0,6

Answer 1

$- 0.2 {}^{2} \times 1 \frac{2}{3} + \frac{1}{30} \div 0.6 = - (\frac{1}{5} ) {}^{2} \times \frac{5}{3} + \frac{1}{30} \div \frac{3}{5} = - \frac{1 \times 5}{25 \times 3} + \frac{5}{30 \times 3} = \frac{ - 1}{5 \times 3} + \frac{1}{6 \times 3} = - \frac{1}{15} + \frac{1}{18} = \frac{ - 6 + 5}{90} = - \frac{1}{90}$

Answer 2

To solve the expression, let's break it down step by step:

Step 1: Calculate -0.2² -0.2² = (-0.2) × (-0.2) = 0.04

Step 2: Calculate 1 2/3 as a decimal 1 2/3 = 1 + 2/3 = 1 + 0.666... = 1.666...

Step 3: Calculate 1/30 ÷ 0.6 1/30 ÷ 0.6 = (1/30) / (6/10) = (1/30) × (10/6) = (1/3) × (1/6) = 1/18

Step 4: Combine the results from Step 1, Step 2, and Step 3 0.04 × 1.666... + 1/18 = 0.06664... + 1/18

Step 5: Convert the fraction 1/18 into decimal form 1/18 = 0.055555...

Step 6: Add the decimal and fraction 0.06664... + 0.055555... = 0.122195555...

Therefore, the value of the expression -0.2² × 1 2/3 + 1/30 ÷ 0.6 is approximately 0.1222.