Free Printable WorksheetMathGrade 5Math Curriculum5.12

5.12 Apply Whole Number and Decimal Operations in Real World Problems Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.12 Apply Whole Number and Decimal Operations in Real World Problems. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the correct equation and final answer for a multi-step word problem involving whole-number and decimal operations, and identify the best estimate to check reasonableness. Choose the statement that best justifies the answer using place-value language and an estimation check. Corresponding standards: CCSS 5.NBT.B.5; CCSS 5.NBT.B.6; CCSS 5.NBT.B.7; CCSS MP1.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 5

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 5.12 Apply Whole Number and Decimal Operations in Real World Problems skill assessments:

Problem 1Difficulty: Mastery

A lab has 21 beakers that each hold 0.75 L. They fill each beaker to 0.75 of its capacity. Then they pour all the liquid equally into 7 bottles. How many liters are in each bottle? Choose the option with the correct equation, final answer, and a reasonable estimate check.

A(21 × 0.75 × 0.75)/7 = 1.69 L. Place value: multiply the capacity by the fill fraction, then divide equally and round to the nearest hundredth.

B(21 × 0.75 × 0.75)*7 = 82.69 L. Mistake: splitting into bottles means divide by the number of bottles, not multiply.

C(21 × 0.75)/(0.75 × 7) = 3.00 L. Mistake: dividing by the fill fraction makes the amount too large.

D(21 × 0.75+0.75)/7 = 2.36 L. Mistake: you must multiply by the fill fraction, not add it.

Solution & Explanation:Liters in each beaker: 0.75 × 0.75 = 0.5625 L. Total liters: 21 × 0.5625 = 11.8125 L. Divide equally: 11.8125 ÷ 7 = 1.6875, which rounds to 1.69 L per bottle.

Problem 2Difficulty: Mastery

A lab has 35 beakers that each hold 0.80 L. They fill each beaker to 0.60 of its capacity. Then they pour all the liquid equally into 9 bottles. How many liters are in each bottle? Choose the option with the correct equation, final answer, and a reasonable estimate check.

A(35 × 0.80 × 0.60)*9 = 151.20 L. Mistake: splitting into bottles means divide by the number of bottles, not multiply.

B(35 × 0.80+0.60)/9 = 3.18 L. Mistake: you must multiply by the fill fraction, not add it.

C(35*(0.80 × 0.60))/9 = 1.87 L. Place value: 0.60 is hundredths; multiplying decimals changes place value (hundredths×hundredths = ten-thousandths, then round). Estimate: 35*(about 0.8 × 0.6)≈16.80 L total; ÷9≈1.87 L.

D(35 × 0.80)/(0.60 × 9) = 5.19 L. Mistake: dividing by the fill fraction makes the amount larger, which doesn’t fit the situation.

Solution & Explanation:Liters in each beaker: 0.80 × 0.60 = 0.48 L. Total liters: 35 × 0.48 = 16.80 L. Divide equally: 16.80 ÷ 9 = 1.87 L per bottle. Place value check: multiplying decimals uses place value (hundredths×hundredths gives smaller units), then round. Estimate with rounded decimals to check the result.

Problem 3Difficulty: Mastery

A community center prints 10375 flyers. They bundle them into packs of 25 flyers. Each pack costs $0.60 to wrap and $0.10 for a label. What is the total packaging cost? Choose the option with the correct equation, final answer, and a reasonable estimate check.

A(10375/25)*(0.60+0.10) = $290.50. Place value: 0.60 and 0.10 are in hundredths; add per-pack costs, then multiply by packs. Estimate: about 415 packs and about $290.50 total.

B(10375/25)*(0.60-0.10) = $207.50. Mistake: both costs add because you pay for wrapping AND a label.

C10375 × 25*(0.60+0.10) = $181562.50. Mistake: number of packs is found by dividing, not multiplying.

D(10375/25)/(0.60+0.10) = $592.86. Mistake: dividing by the per-pack cost does not give total cost.

Solution & Explanation:Number of packs: 10375 ÷ 25 = 415. Cost per pack: $0.60 + $0.10 = $0.70. Total cost: 415*$0.70 = $290.50. Place value check: wrapping and labels are hundredths of a dollar, so the sum is too. Estimate packs and per-pack cost to confirm reasonableness.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 5 Math students. It aligns with educational standard 5.12 (Apply Whole Number and Decimal Operations in Real-World Problems).