Answer :
Sure, let's solve each expression step-by-step:
### Expression 4: [tex]\( 7 + 3 \)[/tex]
1. Identify the numbers: [tex]\( 7 \)[/tex] and [tex]\( 3 \)[/tex].
2. Both numbers are positive.
3. Add the numbers: [tex]\( 7 + 3 = 10 \)[/tex].
So, [tex]\( 7 + 3 = 10 \)[/tex].
### Expression 5: [tex]\( 8 + (-5) \)[/tex]
1. Identify the numbers: [tex]\( 8 \)[/tex] and [tex]\(-5\)[/tex].
2. The number [tex]\( 8 \)[/tex] is positive and [tex]\(-5\)[/tex] is negative.
3. When you add a positive number and a negative number, it is equivalent to subtracting the smaller absolute value from the larger absolute value. Here, we subtract [tex]\( 5 \)[/tex] from [tex]\( 8 \)[/tex].
4. Subtract: [tex]\( 8 - 5 = 3 \)[/tex].
So, [tex]\( 8 + (-5) = 3 \)[/tex].
### Expression 6: [tex]\( -27 + (-9) \)[/tex]
1. Identify the numbers: [tex]\(-27\)[/tex] and [tex]\(-9\)[/tex].
2. Both numbers are negative.
3. When adding two negative numbers, you add their absolute values and keep the negative sign.
4. Add the absolute values: [tex]\( 27 + 9 = 36 \)[/tex], and then apply the negative sign.
So, [tex]\( -27 + (-9) = -36 \)[/tex].
In summary, the results of the given expressions are:
1. [tex]\( 7 + 3 = 10 \)[/tex]
2. [tex]\( 8 + (-5) = 3 \)[/tex]
3. [tex]\( -27 + (-9) = -36 \)[/tex]
### Expression 4: [tex]\( 7 + 3 \)[/tex]
1. Identify the numbers: [tex]\( 7 \)[/tex] and [tex]\( 3 \)[/tex].
2. Both numbers are positive.
3. Add the numbers: [tex]\( 7 + 3 = 10 \)[/tex].
So, [tex]\( 7 + 3 = 10 \)[/tex].
### Expression 5: [tex]\( 8 + (-5) \)[/tex]
1. Identify the numbers: [tex]\( 8 \)[/tex] and [tex]\(-5\)[/tex].
2. The number [tex]\( 8 \)[/tex] is positive and [tex]\(-5\)[/tex] is negative.
3. When you add a positive number and a negative number, it is equivalent to subtracting the smaller absolute value from the larger absolute value. Here, we subtract [tex]\( 5 \)[/tex] from [tex]\( 8 \)[/tex].
4. Subtract: [tex]\( 8 - 5 = 3 \)[/tex].
So, [tex]\( 8 + (-5) = 3 \)[/tex].
### Expression 6: [tex]\( -27 + (-9) \)[/tex]
1. Identify the numbers: [tex]\(-27\)[/tex] and [tex]\(-9\)[/tex].
2. Both numbers are negative.
3. When adding two negative numbers, you add their absolute values and keep the negative sign.
4. Add the absolute values: [tex]\( 27 + 9 = 36 \)[/tex], and then apply the negative sign.
So, [tex]\( -27 + (-9) = -36 \)[/tex].
In summary, the results of the given expressions are:
1. [tex]\( 7 + 3 = 10 \)[/tex]
2. [tex]\( 8 + (-5) = 3 \)[/tex]
3. [tex]\( -27 + (-9) = -36 \)[/tex]
