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Home > PC > Chapter 8 > Lesson 8.2.3 > Problem 8-108

8-108.

No Calculator icon Lance forgot his calculator and needed to find the exact value of 1.14. He decided to use the binomial expansion by rewriting the expression as (1 + 0.1)4. Use the binomial formula to expand (1 + 0.1)4. Use your result to find the exact value of 1.14. (Recall that 0.12 = 0.01, 0.13 = 0.001) Homework Help ✎

= (1 + 0.1)4 = 14 + 4(1)3(0.1) + 6(12)(0.12) + (4)(1)(0.13) + 0.14
= 1 + (4)(0.1) + (6)(0.01) + (4)(0.001) + 0.0001
= 1 + 0.4 + 0.06 + 0.004 + 0.0001
= 1.4641