Question

А)-4*(-3,5); б)-2,25*4/9; в)-5,12/0,64; г)-4 целых 1/6:(-2 целых 1/12

Answer 1

Ответ:

А)-4*(-3,5)=14;

б)-2,25*4/9= -1

в)-5,12/0,64=-8

г)-4 целых 1/6:(-2 целых 1/12=-25/6*-(12/25)=2

Answer 2

Let's solve each of the given expressions step by step:

а) -4 * (-3.5)

To multiply two negative numbers, we follow the rule: Negative * Negative = Positive

-4 * (-3.5) = 4 * 3.5 = 14

б) -2.25 * 4 / 9

First, we perform the multiplication: -2.25 * 4 = -9

Now, we divide the result by 9: -9 / 9 = -1

в) -5.12 / 0.64

To divide two negative numbers, we follow the rule: Negative / Negative = Positive

-5.12 / 0.64 = 8

г) -4 (4/6) / (-2 (1/12))

Let's first convert the mixed numbers into improper fractions:

-4 (4/6) = -4 * (6/6) + 4/6 = -24/6 + 4/6 = -20/6

-2 (1/12) = -2 * (12/12) + 1/12 = -24/12 + 1/12 = -23/12

Now, we can rewrite the expression:

-20/6 / (-23/12)

When dividing by a fraction, we can multiply by its reciprocal:

-20/6 * (-12/23)

Now, multiply the numerators and denominators:

Numerator: -20 * -12 = 240 Denominator: 6 * 23 = 138

So, -20/6 / (-23/12) = 240/138

Now, we can simplify the fraction:

240/138 = 120/69 ≈ 1.73913043478

Rounded to two decimal places, the result is approximately 1.74.