1. Add : -1.5 + 3.5 + 2
2. Add : 5 + (-3) + 7
3. Tina spent $5.25 on craft supplies to make friendship bracelets. She made $6.75 and spent an additional $3.25 for supplies on Monday. On Tuesday, she sold an additional $4.50 worth of bracelets. What was Tina’s overall profit or loss ?
1. Answer :
Step 1 :
According to the associative property of addition, we can add any two numbers among the given three numbers.
Then, we have
(-1.5) + 3.5 + 2 = (-1.5 + 3.5) + 2 ------(1)
Step 2 :
In (-1.5 + 3.5), the two numbers have different signs.
So, find the absolute difference of them without the actual signs.
|1.5 - 3.5| = |-2| = 2
Step 3 :
In the two numbers 1.5 and 3.5, the sign of the bigger number is positive. So, we have to take positive sign to the result.
(1) -----> -1.5 + 3.5 + 2 = (+2) + 2
-1.5 + 3.5 + 2 = 4
2. Answer :
Step 1 :
According to the associative property of addition, we can add any two numbers among the given three numbers.
Then, we have
5 + (-3) + 7 = [(5 + (-3)] + 2 ------(1)
Step 2 :
In [(5 + (-3)], the two numbers have different signs.
So, find the absolute difference of them without the actual signs.
|5 - 3| = |2| = 2
Step 3 :
In the two numbers 5 and 3, the sign of the bigger number is positive. So, we have to take positive sign to the result.
(1) -----> 5 + (-3) + 7 = [+2] + 2
5 + (-3) + 7 = 4
3. Answer :
Step 1 :
Use negative numbers to represent the amount Tina spent and positive numbers to represent the money Tina earned.
Step 2 :
Find -5.25 + 6.75 + (-3.25) + 4.50.
Step 3 :
Group numbers with the same sign.
-5.25 + (-3.25) + 6.75 + 4.50 ----> Commutative property
(-5.25 + (-3.25)) + (6.75 + 4.50) ----> Associative property
Step 4 :
Add the numbers inside the parentheses.
-8.50 + 11.25
Find the difference of the absolute values :
|11.25 - 8.50| = |2.75| = 2.75
In 8.50 and 11.25, the sign of the greater number is positive. So, the result also must be positive and it is 2.75.
Hence, Tina earned a profit of $2.75.
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