Fill in each blank with an integer: (a) 5 - (-2) = 5 + ___; (b) 2 - 6 = ___ + (-6)
Understand the Problem
The question is asking to fill in the blanks with integers to complete the equations provided. Specifically, it's looking for integers that make the equations true based on the given mathematical operations.
Answer
(a) 2; (b) 2
Answer for screen readers
(a) 2; (b) 2
Steps to Solve
- Solve equation (a)
Calculate the left side of the equation ( 5 - (-2) ).
This simplifies to:
$$ 5 + 2 = 7 $$
So, the equation becomes:
$$ 7 = 5 + _ $$
To find the blank, subtract 5 from both sides:
$$ _ = 7 - 5 = 2 $$
- Solve equation (b)
Calculate the left side of the equation ( 2 - 6 ).
This simplifies to:
$$ 2 - 6 = -4 $$
So, the equation becomes:
$$ -4 = _ + (-6) $$
To find the blank, add 6 to both sides:
$$ _ = -4 + 6 = 2 $$
(a) 2; (b) 2
More Information
Both blanks are filled with the integer 2, making the equations true. This involves understanding how to handle negative numbers and perform basic arithmetic operations.
Tips
- Misunderstanding the operation of subtracting a negative number, which can lead to incorrect simplifications.
- Confusion when dealing with negative numbers can result in extra mistakes in calculations.
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