Which of the following shows the correct process of solving −30+4.5?(1 point)
Responses
−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
−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+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+4.5=1.5
Which of the following shows the correct process of solving −30+4.5?(1 point)
Responses
−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
−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+4.5=1.5
Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule? (1 point)
Responses
75.3+4⋅9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9
70+4⋅9
Start Fraction 7 over 0 End Fraction plus 4 times 9
75.30+36
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36
71+4⋅9
75.3+4⋅9
Which of the following is an equivalent expression to 12(9−70)+(−29)0? (1 point)
Responses
12(9−1)+1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis plus 1
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0
12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1
12(9−0)+0
Which of the following shows the correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule? (1 point)
Responses
−4(3+120)+150 =−4(15)+15=−60+15=−45
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 15 equals negative 60 plus 15 equals negative 45
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 4 times 5 equals negative 20
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 16 plus 1 equals negative 15
−4(3+120)+150=−4(15)+1=−60+1=−59
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 1 equals negative 60 plus 1 equals negative 59
−4(3+120)+150 =−4(15)+15=−60+15=−45
To solve the expression −30 + 4.5, you need to perform the addition operation. Let's go through the options provided to determine which one is correct.
Option 1: −30 + 4.5 = −3⋅0 + 4.5 = 0 + 4.5 = 4.5
This option involves multiplying −3 by 0 and then adding 4.5. However, the product of −3 and 0 is 0, not −30. Therefore, this option is incorrect.
Option 2: −30 + 4.5 = −1⋅30 + 4.5 = −1⋅1 + 4.5 = −1 + 4.5 = 3.5
In this option, the expression is incorrectly interpreted as −1 multiplied by 30. The correct interpretation should be −1 multiplied by −30 to get 30. Therefore, this option is also incorrect.
Option 3: −30 + 4.5 = (−3)0 + 4.5 = 1 + 4.5 = 5.5
This option multiplies −3 by 0, which results in 0, and then adds 4.5. However, the correct value for the multiplication of −3 and 0 should be −30, not 0. Therefore, this option is incorrect.
Option 4: −30 + 4.5 = −3 + 4.5 = 1.5
This option correctly adds −30 and 4.5 to get a result of 1.5. Therefore, this is the correct process for solving the expression.
So, the correct process to solve −30 + 4.5 is to add −30 and 4.5, which gives the result 1.5. Thus, the correct option is:
−30 + 4.5 = −3 + 4.5 = 1.5.