Question

80+0,4(-10)² и 45(1/9)²-14*1/9 Найдите значение этих выражений .

Answer 1

1. 45•(1/9)^2=45•1/81=45/812.14•1/9=14/93. 45/81-14/9=45/81-126/81 (привели к общему знаменателю,который равен 81,умножив второе выражение на 9)4.45/81-126/81=-81/81=-1.Ответ:-1.

Answer 2

To find the value of the given expressions, let's evaluate each of them step by step:

1. 80 + 0.4(-10)²: First, we'll calculate the value inside the parentheses: (-10)² = (-10) × (-10) = 100. Next, we'll multiply 100 by 0.4: 100 × 0.4 = 40. Finally, we'll add 80 to 40: 80 + 40 = 120.

So, 80 + 0.4(-10)² = 120.

2. 45(1/9)² - 14 * 1/9: First, let's calculate the value inside the parentheses: (1/9)² = (1/9) × (1/9) = 1/81. Next, we'll multiply 45 by (1/81): 45 × (1/81) = 45/81. Now, let's evaluate the second part: 14 * 1/9 = 14/9.

Now, we'll subtract the second part from the first: (45/81) - (14/9).

To subtract fractions, we need a common denominator. The least common multiple of 81 and 9 is 81.

Converting the fractions to have a common denominator: (45/81) - (14/9) = (45/81) - (14/9) * (9/9) = (45/81) - (126/81) = (45 - 126)/81 = -81/81 = -1.

So, 45(1/9)² - 14 * 1/9 = -1.

The values of the given expressions are:

1. 80 + 0.4(-10)² = 120
2. 45(1/9)² - 14 * 1/9 = -1.