Question

A jar contains 0.65 liter of lime juice and 0.40 liter of orange juice. Meg poured 0.35 liter of cranberry juice into the jar. She then drank 0.10 liter of the mixture.
Part A: Write an expression to represent the total amount of juice left in the jar. (5 points)
Part B: Simplify the expression and identify which property is used in each step. (5 points)

Answer 1

SOLUTION

GIVEN

A jar contains 0.65 liter of lime juice and 0.40 liter of orange juice. Meg poured 0.35 liter of cranberry juice into the jar. She then drank 0.10 liter of the mixture.

TO DETERMINE

Part A : Write an expression to represent the total amount of juice left in the jar.

Part B: Simplify the expression and identify which property is used in each step.

EVALUATION

Here it is given that jar contains 0.65 liter of lime juice and 0.40 liter of orange juice. Meg poured 0.35 liter of cranberry juice into the jar.

Total amount of juice

= 0.65 + 0.40 + 0.35

She then drank 0.10 liter of the mixture.

The total amount of juice left in the jar

= ( 0.65 + 0.40 + 0.35 ) - 0.10

Part A : The expression to represent the total amount of juice left in the jar

= ( 0.65 + 0.40 + 0.35 ) - 0.10

Part B : We Simplify the expression step by step mentioning property is used

Step : 1

The given expression

= ( 0.65 + 0.40 + 0.35 ) - 0.10

Step : 2

Apply commutative property of addition

( 0.65 + 0.40 + 0.35 ) - 0.10

= ( 0.65 + 0.35 + 0.40 ) - 0.10

Step : 3

Add like terms

( 0.65 + 0.35 + 0.40 ) - 0.10

= 1.00 + 0.30

Step : 4

Add like terms

1.00 + 0.30

= 1.30

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