The solution to the expressions are
- The additive inverse of -42 is 42
- The solution to 107 - (-25) is 132
- The value of 14 - a^2 is 5
- The equation that represents the statement given as fifteen more than r is 61 is r + 15 = 61
- The value of 4^2 - 2(3 * 5 + 1) is -16
- The symbol to use is <
- The value of 7(10 - 2^3) + 8 + 2 is 24
- The set of integers from least to greatest is -3, 2, 7, |-10|
The additive inverse of -42
Consider a number x
The additive inverse of x is - x
This means that the additive inverse of -42 is 42
The solution to 107 - (-25)
The expression is given as:
107 - (-25)
Remove the bracket
107 - (-25) = 107 + 25
Evaluate the sum
107 - (-25) = 132
Hence, the solution to 107 - (-25) is 132
The value of 14 - a^2
The expression is given as:
14 - a^2
Where a = -3
So, we have
14 - a^2 = 14 - (-3)^2
Evaluate the square
14 - a^2 = 14 - 9
Evaluate the difference
14 - a^2 = 5
Hence, the value of 14 - a^2 is 5
The equation that represents the statement
The statement is given as:
fifteen more than r is 61
This is an addition equation.
So, we have:
r + 15 = 61
Hence, the equation that represents the statement given as fifteen more than r is 61 is r + 15 = 61
The value of 4^2 - 2(3 * 5 + 1)
The expression is given as:
4^2 - 2(3 * 5 + 1)
So, we have
4^2 - 2(3 * 5 + 1)= 4^2 - 32
Evaluate the square
4^2 - 2(3 * 5 + 1)= 16 - 32
Evaluate the difference
4^2 - 2(3 * 5 + 1)= -16
Hence, the value of 4^2 - 2(3 * 5 + 1) is -16
The symbol to use
The expression is given as:
-2 ? |-3|
Evaluate the absolute value
-2 ? 3
-2 is less than 3.
So, we have:
-2 < 3
Hence, the symbol to use is <
The value of 7(10 - 2^3) + 8 + 2
The expression is given as:
7(10 - 2^3) + 8 + 2
So, we have
7(10 - 2^3) + 8 + 2 = 14 + 8 + 2
Evaluate the sum
7(10 - 2^3) + 8 + 2 = 24
Hence, the value of 7(10 - 2^3) + 8 + 2 is 24
The set of integers from least to greatest
|-10| = 10
So, we have
The set of integers from least to greatest is -3, 2, 7, |-10|
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