Use the properties of operations and rules for multiplying and dividing to solve (8-9)×(-3-4)÷{1-9)×(-4-5)÷(3-5)
First, let's simplify the expression step by step:
(8-9)×(-3-4)÷{1-9)×(-4-5)÷(3-5)
Simplifying the parentheses first:
(-1)×(-7)÷(-8)÷(-2)
Using the properties of operations and rules for multiplying and dividing:
Multiply the first two numbers: (-1)×(-7) = 7
Divide the result by the next number: 7÷(-8) = -7/8
Now, simplify the next part of the expression:
(-4-5)÷(3-5)
Simplifying inside the parentheses:
(-4-5)÷(-2)
Using the properties of operations and rules for multiplying and dividing:
Add the two numbers inside the parentheses: -4+(-5) = -9
Divide the result by the next number: -9÷(-2) = 9/2
Now, we have:
(-7/8)÷(9/2)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-7/8) * (2/9)
Using the properties of operations and rules for multiplying and dividing:
Multiply the numerators: -7 * 2 = -14
Multiply the denominators: 8 * 9 = 72
So, the final answer is:
-14/72, which can be simplified to -7/36
Use the properties of operations and rules for multiplying and dividing to solve (-3-5)×(5-16)×(7-12)÷(-3-10)×(-5-7)
Let's simplify the expression step by step:
(-3-5)×(5-16)×(7-12)÷(-3-10)×(-5-7)
Simplifying the parentheses first:
(-8)×(-11)×(-5)÷(-13)×(-12)
Using the properties of operations and rules for multiplying and dividing:
Multiply the first three numbers: (-8)×(-11)×(-5) = 440
Divide the result by the next number: 440÷(-13) = -440/13
Now, simplify the next part of the expression:
(-3-10)×(-5-7)
Simplifying inside the parentheses:
(-13)×(-12)
Using the properties of operations and rules for multiplying and dividing:
Multiply the two numbers inside the parentheses: (-13)×(-12) = 156
Now, we have:
-440/13÷156
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
-440/13 * (1/156)
Using the properties of operations and rules for multiplying and dividing:
Multiply the numerators: (-440) * 1 = -440
Multiply the denominators: 13 * 156 = 2028
So, the final answer is:
-440/2028, which cannot be further simplified.
Let's solve the expression step by step using the properties of operations and rules for multiplying and dividing.
First, let's simplify the expression in the parentheses: (8-9) and (-3-4).
(8-9) equals -1, and (-3-4) equals -7.
Now the expression becomes (-1)×(-7)÷{1-9)×(-4-5)÷(3-5).
Next, let's simplify the expression in the curly braces: {1-9) and (-4-5).
{1-9) equals -8, and (-4-5) equals -9.
The expression now becomes (-1)×(-7)÷(-8)×(-9)÷(3-5).
Lastly, let's simplify the expression in the parentheses: (3-5).
(3-5) equals -2.
The expression now becomes (-1)×(-7)÷(-8)×(-9)÷(-2).
Using the rule for multiplying negative numbers, multiplying two negatives gives a positive result. So, (-1)×(-7) equals 7.
The expression becomes 7÷(-8)×(-9)÷(-2).
Using the rule for dividing negative numbers, dividing a positive number by a negative number gives a negative result. So, 7÷(-8) equals -7/8.
Now the expression becomes -7/8×(-9)÷(-2).
Finally, let's solve the expression using the rules for multiplying and dividing fractions. Multiplying fractions is as simple as multiplying the numerators and the denominators. Dividing fractions is done by multiplying the first fraction by the reciprocal of the second fraction.
-7/8×(-9) equals 63/8, and dividing by -2 is the same as multiplying by -1/2.
So, the final answer to the expression (8-9)×(-3-4)÷{1-9)×(-4-5)÷(3-5) is 63/8 × (-1/2) = -63/16.