(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
1. (−2) × (15) = -30
2. -30 ÷ (23) = -1.3043 (rounded to 4 decimal places)
3. -1.3043 × (-56) = 73.0435 (rounded to 4 decimal places)
4. 73.0435 ÷ 34 = 2.1501 (rounded to 4 decimal places)
Therefore, (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately equal to 2.1501.
(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
1. (-2) × (1/5) = -2/5
2. (-2/5) ÷ (2/3) = -(2/5) * (3/2) = -6/10 = -3/5
3. (-3/5) × (-5/6) = (3/5) * (5/6) = 15/30 = 1/2
4. (1/2) ÷ (3/4) = (1/2) * (4/3) = 4/6 = 2/3
Therefore, (-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4) is equal to 2/3.
Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
Responses
23
Start Fraction 2 over 3 End Fraction
16
Start Fraction 1 over 6 End Fraction
−23
negative Start Fraction 2 over 3 End Fraction
−16
To solve the expression (-2)×(15)÷(23)×(-56)÷(34), we follow the order of operations, which states that we should perform any multiplication or division operations from left to right before performing any addition or subtraction operations.
So, let's simplify step by step:
1. (-2) × (15) = -30
2. -30 ÷ (23) = -1.304347826086957
3. -1.304347826086957 × (-56) = 73.04347826086956
4. 73.04347826086956 ÷ (34) = 2.150132637
Therefore, the solution is approximately 2.150132637.
Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
(1 point)
Responses
2/3
Start Fraction 2 over 3 End Fraction
1/6
Start Fraction 1 over 6 End Fraction
−2/3
negative Start Fraction 2 over 3 End Fraction
−1/6
To solve the expression (-2)×(1/5)÷(2/3)×(-5/6)÷(3/4), we follow the order of operations, which states that we should perform any multiplication or division operations from left to right before performing any addition or subtraction operations.
So, let's simplify step by step:
1. (-2) × (1/5) = -2/5
2. -2/5 ÷ (2/3) = -2/5 * 3/2 = -6/10 = -3/5
3. -3/5 × (-5/6) = -3/5 * -5/6 = 15/30 = 1/2
4. 1/2 ÷ (3/4) = 1/2 * 4/3 = 4/6 = 2/3
Therefore, the solution is 2/3.
Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
(1 point)
Responses
−1,225/8
negative Start Fraction 1,225 over 8 End Fraction
−8
negative 8
1,225/8
Start Fraction 1,225 over 8 End Fraction
8
To solve the expression (9)÷(5/4)×(7/9)×(-5)÷(7/2), we follow the order of operations, which states that we should perform any multiplication or division operations from left to right before performing any addition or subtraction operations.
So, let's simplify step by step:
1. (9) ÷ (5/4) = 9 * 4/5 = 36/5
2. (36/5) × (7/9) = 36/5 * 7/9 = 252/45 = 14/5
3. (14/5) × (-5) = 14/5 * -5 = -70/5 = -14
4. (-14) ÷ (7/2) = -14 * 2/7 = -28/7 = -4
Therefore, the solution is -4.