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=4.5negative 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=3.5negative 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 4.5=1.5negative 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=5.5negative 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
The correct process of solving −30 ÷ 4.5 is:
−30 ÷ 4.5 = −3 × 0 + 4.5 = 0 + 4.5 = 4.5
The correct process of solving −30 + 4.5 is:
-30 + 4.5 = -25.5
To solve the expression −30.4.5, we need to follow the correct order of operations, which is commonly referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Let's break down the given expressions to identify the correct process:
1. −30.4.5=−3⋅04.5=04.5=4.5
This expression simplifies to 4.5. However, the multiplication step is incorrect as any number multiplied by 0 is always 0. So, this option is not correct.
2. −30.4.5=−1⋅304.5=−1⋅14.5=−14.5=3.5
This expression simplifies to 3.5. Here, we correctly multiplied −1 by 3 (which is equivalent to −3) and added 4.5 to get the final result of 3.5. So, this option is correct.
3. −30.4.5=−34.5=1.5
This expression simplifies to 1.5. Here, we wrongly added −3 to 4.5 instead of multiplying them. So, this option is not correct.
4. −30.4.5=(−3)04.5=14.5=5.5
This expression simplifies to 5.5. Here, we incorrectly applied the exponent operation as (−3)0 would be equal to 1, not 0. So, this option is not correct.
Therefore, the correct process to solve −30.4.5 is:
−30.4.5=−1⋅304.5=−1⋅14.5=−14.5=3.5