Step 3: Each successive approximation uses the value from the previous approximation. 7.90 x 10-5 = x(0.100 + x Calculate the third approximation of x. X Step 4: Continue this process until two x valucs agree within the desired level of precision. Calculate the fourth and fifth approximations of x. X4 = Which values are the first to agree to two significant figures? O x2 and x3 Ox1 and x2 x4 and xs O xy and x4 Which values are the first to agree to three significant figures? O x2 and xy O xi and x2 Xs and x4 X4 and xs

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Chapter1: Chemical Foundations
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Consider the expression.
7.90 x 10- = x(0.100 + x)?
You can solve for x using a technique called successive approximations.
Step 1: If you assume that x is very small compared to 0.100, such that 0,100 + x 0.100, then your first approximation of x
(call it x) can be calculated as
7.90 x 10- = x| (0.100)
Calculate the first approximation of x. Express all answers to three or more significant figures.
Step 2: Now, take your first approximation of x and plug it into the full cquation.
7.90 x 10- = x (0.100 + x)
Calculate the second approximation of x.
Step 3: Each successive approximation uses the value from the previous approximation.
7.90 x 10- = x(0.100 + x2)
%3D
Calculate the third approximation of x.
Transcribed Image Text:Consider the expression. 7.90 x 10- = x(0.100 + x)? You can solve for x using a technique called successive approximations. Step 1: If you assume that x is very small compared to 0.100, such that 0,100 + x 0.100, then your first approximation of x (call it x) can be calculated as 7.90 x 10- = x| (0.100) Calculate the first approximation of x. Express all answers to three or more significant figures. Step 2: Now, take your first approximation of x and plug it into the full cquation. 7.90 x 10- = x (0.100 + x) Calculate the second approximation of x. Step 3: Each successive approximation uses the value from the previous approximation. 7.90 x 10- = x(0.100 + x2) %3D Calculate the third approximation of x.
Step 3: Each successive approximation uses the value from the previous approximation.
7.90 x 10-5 = x3(0.100 + x,
Calculate the third approximation of x.
Step 4: Continue this process until two x values agree within the desired level of precision. Calculate the fourth and fifth
approximations of x.
X4 =
Which values are the first to agree to two significant figures?
O x2 and x3
X1 and x3
x4 and xs
O xy and x4
Which values are the first to agree to three significant figures?
O x2 and xy
O xi and x2
Xy and x4
X4 and xs
Transcribed Image Text:Step 3: Each successive approximation uses the value from the previous approximation. 7.90 x 10-5 = x3(0.100 + x, Calculate the third approximation of x. Step 4: Continue this process until two x values agree within the desired level of precision. Calculate the fourth and fifth approximations of x. X4 = Which values are the first to agree to two significant figures? O x2 and x3 X1 and x3 x4 and xs O xy and x4 Which values are the first to agree to three significant figures? O x2 and xy O xi and x2 Xy and x4 X4 and xs
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