Question

Решите, очень подробно рассписывая 1)-12•5; -9•(24); 26•(12); -48•(-1); -57•0; -39•1 2) 72:(-24); -96:(-8); -49:7; -97:1; 0:(-42); -54:(-1) 3)41•(-3); -37:(-37); -25•(-5); -39: 39 4) 172:(-422:211•43); -432:(-9):(-24)

Answer 1

1)-12•5=60; -9•(24)=216; 26•(12)=312; -48•(-1)=48; -57•0=0; -39•1=-39
2) 72:(-24)=-3; -96:(-8)=12; -49:7=-7; -97:1=-97; 0:(-42)=0; -54:(-1)=54
3)41•(-3)=-723; -37:(-37)=1; -25•(-5)=125; -39: 39=-1
4) 172:(-422:211•43)=-2; -432:(-9):(-24)=-2

а что бы понять почему получились такие знаки повторите и выучите действия с отрицательными числами!

Answer 2

1) Let's solve each of the expressions step by step:

1) -12 • 5: To multiply a number by a negative number, we multiply the absolute values and then assign the negative sign to the result. So, -12 • 5 = -60.

2) -9 • (24): We need to perform the multiplication inside the parentheses first. -9 • 24 = -216.

3) 26 • (12): Similar to the previous expression, we multiply the number inside the parentheses first. 26 • 12 = 312.

4) -48 • (-1): When we multiply two negative numbers, the result is positive. -48 • (-1) = 48.

5) -57 • 0: Any number multiplied by 0 is always 0. So, -57 • 0 = 0.

6) -39 • 1: Multiplying any number by 1 does not change its value. So, -39 • 1 = -39.

2) Now let's solve the second set of expressions:

1) 72 : (-24): To divide by a negative number, we need to change the division sign to multiplication and the negative sign to positive. So, 72 : (-24) is equivalent to 72 * (-1/24). Evaluating this expression gives us -3.

2) -96 : (-8): Similar to the previous expression, we change the division sign to multiplication and the negative sign to positive. -96 : (-8) is equivalent to -96 * (-1/8). Evaluating this expression gives us 12.

3) -49 : 7: Dividing a negative number by a positive number gives a negative result. -49 : 7 = -7.

4) -97 : 1: Dividing any number by 1 does not change its value. So, -97 : 1 = -97.

5) 0 : (-42): Dividing 0 by any number is always 0. So, 0 : (-42) = 0.

6) -54 : (-1): Dividing a negative number by a negative number gives a positive result. -54 : (-1) = 54.

3) Let's solve the third set of expressions:

1) 41 • (-3): When multiplying a positive number by a negative number, the result is negative. 41 • (-3) = -123.

2) -37 : (-37): Dividing a negative number by itself gives a positive result. -37 : (-37) = 1.

3) -25 • (-5): Multiplying two negative numbers gives a positive result. -25 • (-5) = 125.

4) -39 : 39: Dividing a negative number by a positive number gives a negative result. -39 : 39 = -1.

4) Finally, let's solve the last expression:

1) 172 : (-4 * 22 : 211 • 43): To solve this expression, we need to follow the order of operations (also known as PEMDAS). First, we evaluate the multiplication inside the parentheses: -4 * 22 = -88. Then, we divide -88 by 211 • 43. Let's calculate that:

172 : (-88 : (211 • 43))

Next, we evaluate the multiplication inside the parentheses: 211 • 43 = 9093. Now, we can rewrite the expression as:

172 : (-88 : 9093)

Finally, we can evaluate the division:

172 : (-88 : 9093) = 172 : (-0.009679) ≈ -17757.68

2) -432 : (-9) : (-24): Similar to the previous expression, we need to follow the order of operations. First, we evaluate the division inside the parentheses: -432 : (-9) = 48. Then, we divide 48 by -24:

48 : (-24) = -2

So, the final results are:

1) -17757.68 2) -2

I hope this explanation helps! Let me know if you have any further questions.