Estimating Sums and Differences

Mathematical Equivalence

ON

Evaluate Reasonableness Hector and Veronica are going hiking. They made a trail mix that has 2/3 cup of almonds, 7/8 cup of peanuts, and 4/5 cup of raisins in it. Hector estimates that they made about 3 cups of trail mix. Is the estimate greater than or less than the actual sum? How do you know?

• The estimate is greater because each fraction is rounded up to a benchmark.

• The estimate is less because each fraction is rounded down to a benchmark.

• The estimate is greater because they really made more than 3 cups.

• The estimate is less because each fraction is rounded up to a benchmark.

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CCSS.5.NF.A.2

Multi-Step Amanda picked 3/5 pound of blueberries at her local farm yesterday. She used 3/8 pound of blueberries. Today she picked 4/5 pound of blueberries. About how many pounds of blueberries does Amanda have now?

• 1/5 lb

• 1/2 lb

• 1 lb

• 1 1/2 lbs

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

Jake added 1/8 cup of sunflower seeds and 4/5 cup of banana chips to his sundae. Which is the best estimate of the total amount of toppings Jake added to his sundae?

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CCSS.5.NF.A.2

3/8 + 4/5 =

• 1 1/2

• 1

• 0

• 2

• 1/2

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

9/10 - 3/8 =

• 1 1/2

• 1

• 0

• 2

• 1/2

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CCSS.7.NS.A.1C

5/8 + 2/5 =

• 1 1/2

• 1

• 0

• 2

• 1/2

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

6/7 + 3/5 =

• 1 1/2

• 1

• 0

• 2

• 1/2

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

3/8 - 1/6 =

(a)  

• 1 1/2

• 1

• 0

• 2

• 1/2

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

7/12 + 1/7 =

(a)  

• 1 1/2

• 1

• 0

• 2

• 1/2

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CCSS.5.NF.A.1

CCSS.5.NF.A.2