Find the sum 28 29 42 Property of Addition 23 36 77 Pr

Find the sum. 28 + 29 + 42 = Property of Addition 23 + 36 + 77 = Property of Addition 25 + 48 + 125 = Property of Addition 34 + 22 + 46 + 48 = Property of Addition 21 + 55 + 39 + 45 = Property of Addition 62 + 27 + 48 = Property of Addition The Smoothie Stop sold 35 banana smoothies, 48 strawberry smoothies, and 25 orange smoothies. How many smoothies were sold in all? Max spent 28 minutes on math homework, 27 minutes on science homework, and 22 minutes on English homework. How much time did he spend on homework?

Solution

There are four mathematical properties which involve addition. The properties are the commutative, associative, additive identity and distributive properties.

Commutative property: When two numbers are added, the sum is the same regardless of the order of the addends.

For example 4 + 2 = 2 + 4

Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends.

For example (2 + 3) + 4 = 2 + (3 + 4)

Additive Identity Property: The sum of any number and zero is the original number.

For example 5 + 0 = 5.

Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example 4 * (6 + 3) = 4*6 + 4*3

1) 28+29+42 = 99

28+(29+42) = (28+29)+42               (Associative Property)

28+71 = 57+42

99        =      99

2) 23+36+77 =

23+(36+77) = (23+36)+77               (Associative Property)

23+113 = 59+77

136 = 136

3) 25+48+125 =

25+(48+125) = (25+48)+125          (Associative Property)

25+173 = 73+125

198 = 198

4) 34+22+46+48 =

34+(22+46+48) = (34+22+46)+48

34+((22+46)+48)) = ((34+(22+46))+48         (Associative Property)

34+(68+48) = (34+68)+48

34+116 = 102+48

150 = 150

5) 21+55+39+45 =

21+(55+39+45) = (21+55+39)+45

21+(55+(39+45)) = ((21+(55+39))+45       (Associative Property)

21+(55+84) = (21+94)+45

21+139 = 115+45

160 = 160

6) 62+27+48 =

62+(27+48) = (62+27)+48                            (Associative Property)

62+75 = 89+48

137 = 137

7) Banana sold          = 35

Strawberry sold    = 48

Oranges sold        = 25

So total = 35+48+25 = 108

Total 108 smoothies were sold

8) Time spent on math work = 28 min

Time spent on science work = 27min

Time spent of English work = 22 min

Total time spent on home work = 28min+27min+22min

                                                            = 77 min