Consider the expression – 2 – 9
a. Write the expression as an unknown addend equation.
h. What must be added to 9 to get a sum of 22
c. What is the value of the subtraction expression – 2 – 9 Explain how you know,
The correct answer and explanation is:
The expression given is -2 – 9.
a. Write the expression as an unknown addend equation:
To write the subtraction as an unknown addend equation, we first need to recognize that subtraction is the same as adding a negative. In this case, -2 – 9 is the same as -2 + (-9).
Now, the unknown addend equation can be written as:
-2 + x = -9
This equation represents the process of adding an unknown number to -2 to reach -9. Here, x is -9.
b. What must be added to 9 to get a sum of 22:
To find what must be added to 9 to get a sum of 22, we can set up an equation:
9 + x = 22
Solving for x:
x = 22 – 9
x = 13
So, 13 must be added to 9 to get 22.
c. What is the value of the subtraction expression -2 – 9?
The subtraction expression -2 – 9 can be solved by recognizing that it’s equivalent to adding -9 to -2:
-2 + (-9) = -11
So, the value of -2 – 9 is -11.
Explanation:
In the given expression, subtraction is essentially adding a negative number. The result of subtracting 9 from -2 can be seen as a movement further to the left on the number line from -2 by 9 units. Starting at -2 and counting nine units to the left brings you to -11. This is how we arrive at the final answer.