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Absolute Difference Word Problems With Integers

Written by Adi Ackerman, Head Teacher

"Absolute Difference Word Problems With Integers" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.NS.A.1.C. A 6th grader who is already steady on integers can use it too, and an older student can use it as a short review.

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Absolute Difference Word Problems With Integers - Page 1
Absolute Difference Word Problems With Integers - Page 2

2 pages in this set


7th grade math worksheet: write distances as absolute differences for a submarine and a drone, tides, golf scores and divers. Answer key included. Part of our mixed integer operations integers collection. Aligned to Common Core standards.

How do I use this worksheet?

Use Integer Operation Rules Reference and Check as a review at the start. Assign Integer Operations, Two Steps before the sheets on parentheses, absolute value and powers, and finish with the running totals and word problem sheets.

What students will practice

  • Students will write each distance as the absolute value of the first value minus the second.
  • Students will use values in the order the story names them.
  • Students will find each distance and write it with its unit.


Curriculum Links

Common Core State Standards

The Number System · 7th Grade

7.NS.A.1.C

Standard: Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

View all 7.NS.A.1.C worksheets →

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FAQ

How do I use this mixed integer operations worksheet?

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Use Integer Operation Rules Reference and Check as a review at the start. Assign Integer Operations, Two Steps before the sheets on parentheses, absolute value and powers, and finish with the running totals and word problem sheets.

What does this worksheet teach?

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Write distances as absolute differences for a submarine and a drone, tides, golf scores and divers. The directions on the page read: Write each distance as an absolute value of a difference, |first value − second value|, with values in the order they are named. Show your work, then write the distance with its unit. An answer key is included.

Can I use this mixed integer operations worksheet for homeschool or classroom?

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Yes, both. We made it for 7th grade integers, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

What is the order of operations with integers?

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Work inside parentheses first, then powers, then multiply and divide from left to right, then add and subtract from left to right. Integer Operations, Two Steps practices the multiply and divide before add and subtract step.

Why do (-4) squared and negative 4 squared give different answers?

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A minus sign inside the parentheses is squared along with the 4, so (-4) squared is 16. A minus sign outside is not squared, so negative 4 squared is -16. Integer Operations With Powers and Grouping practices this.

How does absolute value work in an expression?

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Absolute value bars group like parentheses, so find the value inside first and then take its absolute value. Integer Operations With Absolute Value has problems such as |(-9) + 4| x 3.

How do you find a missing operation sign?

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Try each of plus, minus, times and divide in the circle and use the order of operations to test it. Missing Operation Signs Between Integers has exactly one correct way to fill each equation.

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Worksheet Details

Grade7th Grade
SubjectMath
TopicIntegers
Standard7.NS.A.1.C
Pages2 pages
DifficultyMedium

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