Let's gain some practice applying properties of operations as strategies to add and subtract rational numbers by adding and subtracting fractions in this real world word problem.

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Learning Standards (7th Grade: The Number System):

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

CCSS.MATH.CONTENT.7.NS.A.1.A

Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.

CCSS.MATH.CONTENT.7.NS.A.1.B

Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

CCSS.MATH.CONTENT.7.NS.A.1.C

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.

CCSS.MATH.CONTENT.7.NS.A.1.D

Apply properties of operations as strategies to add and subtract rational numbers.

How do I add decimals?

How do I subtract decimals?

How do I model real world situations involving decimals?

...

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Our Mission: MashUp Math is our creative solution to reviving students' passion and interest for learning mathematics. As young educators, we know that all students learn math differently and that a one-size-fits-all approach is simply ineffective. The idea that the ability to understand mathematics is reserved for a select few did not sit well with us.

In addition to sharing free teacher resources (which are teacher created resources) in the form of teacher worksheets, we share new YouTube math videos every week that help math teachers and students to better understand mathematics and the common core. Our lessons can be aligned with the common core standards for common core math and are immensely popular with flipped learning educators and anyone experimenting with flipped classroom learning.

As educators, we know what it takes to be a super math teacher and that we can’t always do it alone. In addition to our cool math videos, we share articles, blogs, inspirational quotes, teacher math worksheets, and math worksheets. Whether you teach in the flipped classroom, operate in blended education or online blended learning, or are interested in finding cool math online, MashUp Math will have something for you!

Many students think of us as a math tutor online or as their on-demand online tutor. Others trust us for all things related to online math education—coming to use when they find themselves thinking “I don’t understand my homework assignment! and need some homework help!

It is also a part of our mission to make progressive steps in mathematics education. For one, our content is created with the goal of moving students from a fixed mindset to a growth mindset. We also aim to meet the unique needs of ESL math students and support math for girls as well.

Many of our users serve as a special education teacher and use our cool videos to support their special education students with special needs. Our free online math lessons are also high adaptable to your homeschool curriculum and should be added to your list of free homeschool resources.

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So if you could use some help with everyday math and are a student with a unique learning style or learning styles—like Visual Auditory Learning! Or if you’re tired of math games and are more interested in an easy-to-follow tutorial, check us out and learn math with us. No matter your school’s standards of learning, our YouTube Math Videos Lessons will work for you!

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