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Common Core Standard:7.NS.1 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.
Adding and Subtracting Rational
Numbers
1. add and subtract rational numbers.
2. compare and order rational numbers.
ObjectiveThe student will be able to:
Find the sum.1) -2.304 + (-0.26)Line up the decimals and add (same signs).
-2.564
2) Get a common denominator and subtract.
1
8
Find the difference.
3)5 3
9 5
3
5
5
9
2
45
Change subtraction to adding the opposite.
Get a common denominator.
Subtract and keep sign of the larger number.
Find the difference.
4)
61
2 7
5
14
Get a common denominator and subtract.
Change subtraction to adding the opposite.
A rational number is a number
that can be written as a fraction.How can these be written as a fraction?
3 =
Inequality Symbols
Symbol Meaning < is less than > is greater than ≠ is not equal to ≤ is less than or equal to ≥ is greater than or equal to = is equal to
Ordering Rational Numbers
2 ways to order from least to greatest
1. Get a common denominator
2. Change the fractions to decimals (numerator demoninator)
Which rational number is bigger?
1) Get a common denominator.
2) or convert the fraction to a decimal.0.363 < 0.375
4
11<
3
8
Which rational number is bigger?
1) Get a common denominator
2) or convert to a decimal1.75 < 1.83
7
4or
11
6
42
24< 44
24