Determine which of the following statements is/are true:
#1: 3⋅20=4(6+9)
#2: 4×12=6×(8×2)12+6⋅64−−√=2⋅4⋅8
#3: 4⋅18−4⋅6=42+4⋅8
Responses
1 and 3
1
2 and 3
1 and 2
The statement "1 and 2" is true.
To determine which of the statements are true, let's analyze each statement separately:
#1: 3⋅20=4(6+9)
On the left-hand side, we have 3 multiplied by 20, which equals 60. On the right-hand side, we have 4 multiplied by the sum of 6 and 9, which equals 60 as well. Therefore, statement #1 is true.
#2: 4×12=6×(8×2)12+6⋅64−−√=2⋅4⋅8
This statement appears to be incomplete or has a formatting issue, making it difficult to interpret. Without further information or clarification, it's not possible to determine if statement #2 is true or false.
#3: 4⋅18−4⋅6=42+4⋅8
On the left-hand side, we have 4 multiplied by 18 and 4 multiplied by 6, which equals 72 and 24, respectively. Their difference is 72 - 24 = 48. On the right-hand side, we have 42 plus 4 multiplied by 8, which also equals 48. Therefore, statement #3 is true.
Based on the analysis, the correct response is: 1 and 3