Simplify (10−6)2 + 8 − 2'2
To simplify the expression (10−6)2 + 8 − 2'2, let's first evaluate the parentheses:
(10−6)2 = 4² = 16
Now let's simplify the remaining expression:
16 + 8 − 2'2
Next, let's evaluate the exponent:
2'2 = 2 × 2 = 4
Now we can substitute the values back into the expression:
16 + 8 - 4
Finally, let's perform the addition and subtraction:
= 24 - 4
= 20
Therefore, the simplified expression is 20.
Simplify: 12
(16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8)
To simplify the expression (16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8), let's work through the calculations step by step:
First, perform the division inside the parentheses:
(16 ÷ 4 = 4 + 4) ÷ (6 × 4 ÷ 8)
= (4 + 4) ÷ (6 × 4 ÷ 8)
= 8 ÷ (6 × 4 ÷ 8)
Next, perform the multiplication inside the parentheses:
8 ÷ (6 × 4 ÷ 8)
= 8 ÷ (24 ÷ 8)
= 8 ÷ 3
Finally, perform the division:
8 ÷ 3 = 2.6667 (rounded to 4 decimal places)
Therefore, the simplified expression is approximately 2.6667.
Simplify: 1/2
(16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8)
To simplify the expression (16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8), let's work through the calculations step by step:
First, perform the division inside the parentheses:
(16 ÷ 4 = 4 + 4) ÷ (6 × 4 ÷ 8)
= (4 + 4) ÷ (6 × 4 ÷ 8)
= 8 ÷ (6 × 4 ÷ 8)
Next, perform the multiplication inside the parentheses:
8 ÷ (6 × 4 ÷ 8)
= 8 ÷ (24 ÷ 8)
= 8 ÷ 3
Finally, perform the division:
8 ÷ 3 = 2.6667 (rounded to 4 decimal places)
Therefore, the simplified expression is approximately 2.6667.
However, please note that the original expression does not involve a fraction or the number 1/2. If there was an error in formatting the expression, please provide the correct expression for further simplification.
Simplify: 1/2 (16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8)
To simplify the expression 1/2 (16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8), let's work through the calculations step by step:
First, perform the division inside the parentheses:
16 ÷ 4 = 4 + 4
= 8
Next, apply the multiplication and division outside the parentheses:
1/2 (8) ÷ (6 × 4 ÷ 8)
= 1/2 × 8 ÷ (6 × 4 ÷ 8)
= 4 ÷ (6 × 4 ÷ 8)
Now, perform the division:
4 ÷ (6 × 4 ÷ 8)
= 4 ÷ (24 ÷ 8)
= 4 ÷ 3
Finally, perform the division:
4 ÷ 3 = 1.3333 (rounded to 4 decimal places)
Therefore, the simplified expression is approximately 1.3333.
Simplify: 1/2 (16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8)
Responses
A 1/2
B 1
C 4/3
D 3
To simplify the expression 1/2 (16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8), let's work through the calculations step by step:
First, perform the division inside the parentheses:
16 ÷ 4 = 4 + 4
= 8
Next, apply the multiplication and division outside the parentheses:
1/2 (8) ÷ (6 × 4 ÷ 8)
= 1/2 × 8 ÷ (6 × 4 ÷ 8)
= 4 ÷ (6 × 4 ÷ 8)
Now, perform the multiplication and division:
4 ÷ (6 × 4 ÷ 8)
= 4 ÷ (24 ÷ 8)
= 4 ÷ 3
Finally, perform the division:
4 ÷ 3 = 1.3333 (rounded to 4 decimal places)
Therefore, the simplified expression is approximately 1.3333.
So the correct answer choice is C) 4/3.
Which expression is equivalent to 1/3
+ (3/4
+ 2/3
)?
Responses
A (13
+ 34
) + 23
( 1 3 + 3 4 ) + 2 3
B 13
(34
+ 23
)1 3 ( 3 4 + 2 3 )
C 13
− 23
+ 34
1 3 − 2 3 + 3 4
D 34
− 23
+ 13