Question21) 23)
Studdy Solution
STEP 1
What is this asking?
We're adding and subtracting integers, which are whole numbers that can be positive, negative, or zero!
Watch out!
Don't mix up the rules for adding and subtracting positive and negative numbers.
A negative sign can change everything!
STEP 2
1. Solve Problem 21
2. Solve Problem 23
STEP 3
Alright, problem 21 is .
We're starting at on the number line and then moving **47 units to the left**, because we're subtracting.
STEP 4
Think of it like this: we're already in debt (that's the ), and then we spend another .
Now, we're even *more* in debt!
STEP 5
Mathematically, we can rewrite subtracting a positive number as adding a negative number: .
STEP 6
So, we have plus .
Since both numbers are negative, we **add their absolute values**: .
Since both numbers were negative, our **final result** is also negative: .
STEP 7
Now for problem 23: .
We're starting at on the number line, and then we're adding , which means moving **29 units to the left**.
STEP 8
Imagine you have (that's the ), and then you spend (that's the adding ).
Uh oh, you've overspent!
STEP 9
Since we're adding numbers with different signs, we **subtract the smaller absolute value from the larger absolute value**: .
STEP 10
Since the number with the larger absolute value () was negative, our **final result** is also negative: .
STEP 11
21) 23)
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