Question

11. Сравните выражения. a) 8-(-18)-3-(-4) c) 6-(-7) -8- (-28) b)-12-726-(-22) d) 24-(-3) -10- (-1)

Answer 1

Ответ:

-12-726-(-22) < 24-(-3)-10-(-1) < 8-(-18)-3-(-4) < 6-(-7)-8-(-28)

Пошаговое объяснение:

Вычислим значение выражений:

a) 8-(-18)-3-(-4) = 8+18-3+4 = 8+15+4 = 27;

c) 6-(-7)-8-(-28) = 6+7-8+28 = 13-8+28 = 5+28 = 33;

b) -12-726-(-22) = -738+22 = -716;

d) 24-(-3)-10-(-1) = 24+3-10+1 = 27-10+1 = 17+1 = 18.

Сравним значения:

-716 < 18 < 27 < 33.

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Answer 2

a) 8 - (-18) - 3 - (-4): To simplify the expression, we can apply the rules of addition and subtraction with negative numbers.

8 - (-18) can be rewritten as 8 + 18, which equals 26. Similarly, -3 - (-4) can be rewritten as -3 + 4, which equals 1.

Now we have: 26 - 1

Subtracting 1 from 26 gives us the final result: 26 - 1 = 25

b) -12 - 726 - (-22): Again, we can simplify the expression by applying the rules of addition and subtraction with negative numbers.

-12 - 726 can be rewritten as -12 + (-726), which equals -738. Similarly, -(-22) can be rewritten as 22.

Now we have: -738 - 22

Subtracting 22 from -738 gives us the final result: -738 - 22 = -760

c) 6 - (-7) - 8 - (-28): Following the same process as before:

6 - (-7) can be rewritten as 6 + 7, which equals 13. Similarly, -8 - (-28) can be rewritten as -8 + 28, which equals 20.

Now we have: 13 - 20

Subtracting 20 from 13 gives us the final result: 13 - 20 = -7

d) 24 - (-3) - 10 - (-1): Applying the rules of addition and subtraction:

24 - (-3) can be rewritten as 24 + 3, which equals 27. Similarly, -10 - (-1) can be rewritten as -10 + 1, which equals -9.

Now we have: 27 - (-9)

Subtracting -9 from 27 gives us the final result: 27 - (-9) = 27 + 9 = 36

To summarize: a) 8 - (-18) - 3 - (-4) = 25 b) -12 - 726 - (-22) = -760 c) 6 - (-7) - 8 - (-28) = -7 d) 24 - (-3) - 10 - (-1) = 36