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Simplify: 36−2⋅6+7⋅4 .

11 answers

To simplify the given expression, we follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, we solve the multiplication within the expression:
2⋅6 = 12
7⋅4 = 28

Now, the expression becomes:
36 - 12 + 28

Next, we perform the subtraction and addition left to right:
36 - 12 = 24
24 + 28 = 52

Therefore, the simplified expression is 52.
Evaluate: a+b4 where a=2 , b=3 .
To evaluate the expression a + b^4 when a = 2 and b = 3, we substitute the given values into the expression:

a + b^4 becomes 2 + 3^4

Next, we perform the exponentiation:

2 + 3^4 is equal to 2 + 81

Finally, we add the numbers together:

2 + 81 equals 83.

Therefore, when a = 2 and b = 3, the value of the expression a + b^4 is 83.
Simplify (24÷8+10)−7 .
To simplify the expression (24 ÷ 8 + 10) - 7, we start by solving the division and addition inside the parentheses.

First, we perform the division:
24 ÷ 8 = 3

Next, we add the result of the division to 10:
3 + 10 = 13

Finally, we subtract 7 from the sum:
13 - 7 = 6

Therefore, the simplified expression is 6.
Simplify (2 with the power of 4÷8+10)−7
To simplify the expression (2^4 ÷ 8 + 10) - 7, we start by solving the exponentiation:

2^4 = 2 * 2 * 2 * 2 = 16

Next, we perform the division:
16 ÷ 8 = 2

Then, we add the result of the division to 10:
2 + 10 = 12

Finally, we subtract 7 from the sum:
12 - 7 = 5

Therefore, the simplified expression is 5.
What number would replace x to show that the Associative Property of Addition is being applied (3+2)+4=x+(2+4) ?
In order to find the number that would replace x to show that the Associative Property of Addition is being applied, we need to simplify both sides of the equation.

On the left side, we have (3 + 2) + 4:
(3 + 2) + 4 = 5 + 4 = 9

On the right side, we have x + (2 + 4):
x + (2 + 4) = x + 6

To apply the Associative Property of Addition, the sum on both sides should be equal. So, we set 9 equal to x + 6:

9 = x + 6

To solve for x, we subtract 6 from both sides:

9 - 6 = x + 6 - 6
3 = x

Therefore, the number that would replace x to show that the Associative Property of Addition is being applied is 3.
What number can replace x
to show the Distributive Property 7(2+4)=14+x
?
To find the number that can replace x and show the Distributive Property, we can start by simplifying the expression on the left side of the equation.

7(2 + 4) can be simplified using the Distributive Property as follows:

7 * 2 + 7 * 4 = 14 + 28 = 42

Now, we have:

42 = 14 + x

To isolate x, we need to subtract 14 from both sides:

42 - 14 = 14 + x - 14

Simplifying further:

28 = x

Therefore, the number that can replace x and show the Distributive Property is 28.