Subtracting Rational Numbers: IM 7.5.6
[url=https://im.kendallhunt.com/MS/teachers/2/5/6/preparation.html]“Subtracting Rational Numbers”[/url] from IM Grade 7 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson 7.5.6
- IM 7.5.6 Lesson: Subtracting Rational Numbers
- Practice 7.5.6
- IM 7.5.6 Practice: Subtracting Rational Numbers
IM 7.5.6 Lesson: Subtracting Rational Numbers
Solve each equation mentally. Rewrite each addition equation as a subtraction equation.
[math]247+c=458[/math]
[math]c+43.87=58.92[/math]
[math]\frac{15}{8}+c=\frac{51}{8}[/math]
A mountaineer is changing elevations. Write an expression that represents the difference between the final elevation and beginning elevation. Then write the value of the change. The first one is done for you.
Fill in the table so that every row and every column sums to 0.
Can you find another way to solve this puzzle?
Find the value of each subtraction expression.
What do you notice about the expressions in Column A compared to Column B?
What do you notice about their values?
IM 7.5.6 Practice: Subtracting Rational Numbers
Write a sentence to answer the question:
How much warmer is 82 than 40?[br]
How much warmer is 82 than -40?[br]
[size=150][size=100]What is the difference in height between 30 m up a cliff and 87 m up a cliff? What is the distance between these positions?[/size][/size]
What is the difference in height between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below the surface?
What is the distance between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below the surface right below the albatross?
A company produces screens of different sizes.
Based on the table, could there be a relationship between the number of pixels and the area of the screen? If so, write an equation representing the relationship. If not, explain your reasoning.
Find each difference.
[math]\left(-5\right)-6[/math]
[math]35-\left(-8\right)[/math]
[math]\frac{2}{5}-\frac{3}{5}[/math]
[math]-4\frac{3}{8}-\left(-1\frac{1}{4}\right)[/math]
A family goes to a restaurant. When the bill comes, this is printed at the bottom of it:
Gratuity Guide For Your Convenience:[br] 15% would be $4.89[br] 18% would be $5.87[br] 20% would be $6.52[br][br]How much was the price of the meal? Explain your reasoning.