Free Printable WorksheetMathGrade 6Math Curriculum6.56

6.56 Use Benchmarks and Reasonableness to Check Solutions in Rational Number Problems Worksheet

Download our free printable Grade 6 Math worksheet on 6.56 Use Benchmarks and Reasonableness to Check Solutions in Rational Number Problems. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.56 Use Benchmarks and Reasonableness to Check Solutions in Rational Number Problems. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice is the most reasonable estimate or best check for the given computation? (CCSS Standards for Mathematical Practice 1 and 6; TX 19 TAC §111.26(b)(1)(C); VA 6.CE.1d; FL MTR.1.1)

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 6

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 6.56 Use Benchmarks and Reasonableness to Check Solutions in Rational Number Problems skill assessments:

Problem 1Difficulty: Mastery
A student says 360 divided by 0.45 = 80. Which statement best checks the reasonableness?
AReasonable, because dividing by 0.45 makes the answer smaller.
BReasonable, because 360 divided by 45 is 8.
CNot reasonable, because 0.45 is close to 45.
DNot reasonable, because 0.45 is less than 1, so the quotient should be greater than 360.
Solution & Explanation:Dividing by a number less than 1 increases the result. Since 0.45 < 1, 360 divided by 0.45 must be greater than 360 (it is 800), so 80 is not reasonable.
Problem 2Difficulty: Mastery
Which is the most reasonable estimate for (1.2) multiplied by (0.25) multiplied by (0.4)?
Aabout 1.2
Babout 0.48
Cabout 0.12
Dabout 12
Solution & Explanation:0.25 is one quarter, so 1.2 multiplied by 0.25 = 0.3. Then 0.3 multiplied by 0.4 = 0.12.
Problem 3Difficulty: Mastery
Which is the best estimate for 0.048 divided by 0.006?
Aabout 0.08
Babout 8
Cabout 80
Dabout 0.8
Solution & Explanation:Use compatible numbers: 48 thousandths divided by 6 thousandths = 48 divided by 6 = 8.

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Frequently Asked Questions

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QIs this 6.56 Use Benchmarks and Reasonableness to Check Solutions in Rational Number Problems worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 6.56 (Use Benchmarks and Reasonableness to Check Solutions in Rational-Number Problems).

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