sum of two rational numbers with same denominator (Activity-1)
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To find the sum of two rational numbers with the same denominator, a grid is made with the common denominator. The numerators are written in the grid with their associated signs. Any numerators with opposing signs that are next to each other are enclosed together. The remaining unenclosed numerators are then counted and written over the common denominator to obtain the final sum. For example, to add 4/7 and -2/7, a 7x7 grid is made and 4/7 is written as a + sign and -2/7 as a - sign. The opposing signs are enclosed, leaving two unenclosed + signs. Therefore, 4/7 + -2/7 = 2/7.
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Pride Month Slides 2024 David Douglas School District
sum of two rational numbers with same denominator (Activity-1)
- 1. Activity-1 Objective: To find the sum of two rational numbers with same denominator. Eg: 4 7 + (− 2 7 )
- 4. Like this… We make a 7 X 7 grid because the denominator in both the given rational numbers is 7.
- 5. This “+” sign is to represent 4 7
- 6. This “-” sign is to represent −2 7
- 7. Enclose one “+” sign with one “-” sign (Fig. 4) Now, count the unenclosed signs in Fig 4 They are 14 in all
- 8. Result: The rational number represented by unenclosed signs is 14 49 = 2 7 . So, 4 7 − 2 7 = 2 7