Question

write the following ractional numbers in their decimal form and also state which are terminating and which are non terminating and repeating decimals 1. 229/400​

Answer 1

Answer:

Step-by-step explanation:

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

A rational number can also be represented in decimal form and the resulting decimal is a repeating decimal. (I see the decimal 0.25 as repeating since it can be written 0.25000...) Also any decimal number that is repeating can be written in the form a/b with b not equal to zero so it is a rational number. Let me illustrate with an example.

Consider the repeating decimal n = 2.135135135... The repeating part (135) is 3 digits long so I am going to multiply n by 103 to get 103 n = 2135.135.135... Now I subtract

subtraction

Thus n = 2133/999 and since 9 divided both the numerator and denominator this can be written

n = 237/11.

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