Solve the expression 2(1.60+7)−4.9^0
To solve the expression, we follow the order of operations (PEMDAS/BODMAS) which states that we solve the parentheses/brackets first, then any exponents, then any multiplication or division (from left to right), and finally any addition or subtraction (from left to right).
First, we solve what's inside the parentheses:
1.60 + 7 = 8.60
Next, we solve the exponent:
4.9^0 = 1 (any number raised to the power of 0 equals 1).
Now, we substitute the values back into the expression:
2(8.60) - 1
Next, we perform the multiplication:
2(8.60) = 17.20
Finally, we perform the subtraction:
17.20 - 1 = 16.20
Therefore, the value of the expression 2(1.60+7) - 4.9^0 is 16.20.
Solve the expression 2(1.6^0+7)−4.9^0
To solve this expression, we will again follow the order of operations (PEMDAS/BODMAS).
First, let's solve the exponents:
1.6^0 = 1 (any non-zero number raised to the power of 0 is 1)
4.9^0 = 1
Next, we substitute the values back into the expression:
2(1 + 7) - 1
We simplify inside the parentheses:
2(8) - 1
Next, we perform the multiplication:
2(8) = 16
Finally, we perform the subtraction:
16 - 1 = 15
Therefore, the value of the expression 2(1.6^0 + 7) - 4.9^0 is 15.
Question
Which of the following shows the correct process of solving −30+4.5? (1 point)
Responses
A.−3^0+4.5=−1⋅3^0+4.5=−1⋅1+4.5=−1+4.5=3.5
B.−3^0+4.5=(−3)^0+4.5=1+4.5=5.5
C.−3^0+4.5=−3+4.5=1.5
D.−3^0+4.5=−3⋅^0+4.5=0+4.5=4.5
The correct process of solving −30 + 4.5 is C. −30 + 4.5 = -25.5. None of the given options show the correct process for solving the expression.
Which of the following shows the correct process of solving −3^0+4.5? (1 point)
Responses
A.−3^0+4.5=−1⋅3^0+4.5=−1⋅1+4.5=−1+4.5=3.5
B.−3^0+4.5=(−3)^0+4.5=1+4.5=5.5
C.−3^0+4.5=−3+4.5=1.5
D.−3^0+4.5=−3⋅^0+4.5=0+4.5=4.5
The correct process of solving −3^0+4.5 is A.
Let's break it down step by step:
−3^0+4.5 = −1⋅3^0+4.5
Next, we solve the exponent:
−1⋅3^0+4.5 = −1⋅1+4.5
Now, we perform the multiplication:
−1⋅1+4.5 = -1 + 4.5
Finally, we perform the addition:
-1 + 4.5 = 3.5
Therefore, the correct process is A. −3^0+4.5 = 3.5