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EXERCISE 1.3
  1. Write the following in decimal form and say what kind of decimal expansion ead multiplication
    has:

Ask by Bryant Mitchell. in Saudi Arabia
Jan 29,2025

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Answer

تمرين 1.3
السؤال 1:
  • (i) : 0.36 (منتهٍ)
  • (ii) : 0. (دوري متكرر)
  • (iii) : 4.125 (منتهٍ)
  • (iv) : 0. (دوري متكرر)
  • (v) : 0. (دوري متكرر)
  • (vi) : 0.8225 (منتهٍ)

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Mind Expander

When we convert the fractions to decimal form, we get:
(i) , a terminating decimal.
(ii) , a repeating decimal (0.09).
(iii) , also a terminating decimal.
(iv) , a repeating decimal (0.230769).
(v) , another repeating decimal (0.18).
(vi) , a terminating decimal.
Additionally, multiplication of fractions follows the commutative property, meaning that . This means you can multiply numbers in any order, making calculations a breeze and ensuring consistent results regardless of how you arrange the factors!
When dealing with decimal expansions, a common mistake is assuming all fractions will yield simple results. Remember that fractions can either be terminating, like (0.5), or repeating, like (0.333…). Recognizing these differences helps ensure you choose the right methods for further calculations!

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