10 is greater than 2 (-6)
The expression 10 is greater than 2 multiplied by -6 can be written as:
10 > 2(-6)
Which simplifies to:
10 > -12
Therefore, 10 is indeed greater than 2 multiplied by -6.
To compare the numbers 10 and 2 (-6), we need to understand the concept of negative numbers and their values.
In mathematics, negative numbers are represented with a minus sign (-) placed before the number. They represent values that are less than zero.
In this case, 2 (-6) means that the number 2 is being multiplied by the negative value of 6. When multiplying a positive number by a negative number, the result is negative.
So, 2 (-6) is equal to -12.
Now, comparing 10 and -12, we can see that 10 is greater than -12.
To determine whether 10 is greater than 2 multiplied by -6, we need to follow the order of operations. The order of operations is as follows:
1. Parentheses: Simplify any expressions within parentheses first.
2. Exponents: Evaluate any exponentiation.
3. Multiplication and Division: Perform multiplication and division operations from left to right.
4. Addition and Subtraction: Perform addition and subtraction operations from left to right.
In this case, we have 2 multiplied by -6 within parentheses.
Multiplying 2 and -6 gives us -12.
So the expression becomes 10 > -12.
Comparing these two numbers, we can see that 10 is indeed greater than -12.
Therefore, the statement "10 is greater than 2 multiplied by -6" is true.