Zero Power Rule of Exponents Quick Check
2 of 52 of 5 Items
Question
Which of the following shows the correct process of solving −30+4.5?(1 point)
Responses
−30+4.5=−3+4.5=1.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5
−30+4.5=(−3)0+4.5=1+4.5=5.5
negative 3 superscript 0 baseline plus 4.5 equals left parenthesis negative 3 right parenthesis superscript 0 baseline plus 4.5 equals 1 plus 4.5 equals 5.5
−30+4.5=−3⋅0+4.5=0+4.5=4.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5
−30+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5
negative 3 superscript 0 baseline plus 4.5 equals negative 1 times 3 superscript 0 baseline plus 4.5 equals negative 1 dot 1 plus 4.5 equals negative 1 plus 4.5 equals 3.5
The correct process of solving −30+4.5 is:
−30+4.5=−3+4.5=1.5
−30+4.5=−3+4.5=1.5
ah,no way
−30+4.5= -25.5
perhaps you mean
−3.0+4.5=−3+4.5=1.5
Apologies for the mistake in my previous response. You are correct, the correct process should be:
−30+4.5= -25.5
Alternatively, if you meant -3.0 instead of -30, then the correct process would be:
−3.0+4.5=−3+4.5=1.5.
or if you mean
-3^0 +4.5
then
1 + 4.5 = 5.5
or if you mean
-3^0 + 4^.5
then
1 + 2 = 3
Apologies for any confusion. The question did not specify the use of exponents or square roots. If the expression is interpreted as -3^0 + 4.5, then the correct process would be:
-3^0 + 4.5 = 1 + 4.5 = 5.5
Alternatively, if the expression is interpreted as -3^0 + 4^.5, then the correct process would be:
-3^0 + 4^.5 = 1 + 2 = 3
Thank you for providing the clarification.
The question title included "zero power rule of exponents".
Apologies for overlooking that detail. If the question is specifically asking about the zero power rule of exponents, then the correct process would be:
-3^0 + 4.5 = -1 + 4.5 = 3.5
Thank you for pointing that out.
Solve for x .
−12+x=48 (1 point)
Responses
x=−60
x equals negative 60
x=60
x equals 60
x=36
x equals 36
x=−36
To solve the expression −30+4.5, we need to perform the addition operation between -30 and 4.5.
Let's go through each option and see which one correctly shows the process of solving the expression:
A. −30+4.5=−3+4.5=1.5
This option is incorrect. It shows a wrong step where -30 is equated to -3, which is not correct. So, we can eliminate this option.
B. −30+4.5=(−3)0+4.5=1+4.5=5.5
This option is also incorrect. It shows an incorrect step where (-3)0 is equated to 1. It is important to note that any number raised to the power of 0 is equal to 1, but in this case, we don't have any exponent of 0. So, we can eliminate this option as well.
C. −30+4.5=−3⋅0+4.5=0+4.5=4.5
This option is incorrect. Similar to the previous option, it shows an incorrect step where -3⋅0 is equated to 0. Any number multiplied by 0 is always equal to 0, but in this case, we need to perform addition, not multiplication. So, we can eliminate this option.
D. −30+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5
This option is correct. It correctly shows the step-by-step process of solving the expression −30+4.5. It multiplies -1 by 30, adds 4.5 to the result, and finally adds -1 to that sum. The final result is 3.5.
Therefore, the correct process of solving −30+4.5 is shown in option D.