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Chapter 0: Problem 43

Evaluate the expressions, rounding your answer to four significant digits where necessary. $$ \frac{\sqrt{4}}{5} $$

Short Answer

Expert verified
The given expression is \(\frac{\sqrt{4}}{5}\). After evaluating the square root, we get \(\frac{2}{5}\). Converting the fraction to a decimal, we get 0.4, which is the final answer.

Step by step solution

01

Evaluate the square root

The first step will be to evaluate the square root of 4 present in the numerator of the expression. Recall that the square root of a number x is the value of y, such that \(y^2 = x\). In the case of 4, \(2^2 = 4\), so the square root of 4 is 2. The updated expression is: $$ \frac{2}{5} $$
02

Simplify the fraction

In this case, the fraction is already simplified, as there are no more operations to perform: $$ \frac{2}{5} $$
03

Convert the fraction to a decimal

Next, we will convert the fraction to a decimal. To do this, divide the numerator by the denominator (divide 2 by 5): $$ \frac{2}{5} = 0.4 $$
04

Round to four significant digits

In this case, there is no need to round the result since it already has only one significant digit, which is less than four significant digits. The final answer is: $$ 0.4 $$

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Most popular questions from this chapter

Find all possible real solutions of each equation \(x^{3}-x^{2}-5 x+5=0\)

\((x+1)(x+2)+(x+1)(x+3)\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(\frac{2}{\left(\frac{3}{5}\right)}\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(2^{x^{2}}-\left(2^{2 x}\right)^{2}\)

By any method, determine all possible real solutions of each equation Check your answers by substitution. \(3 x^{2}-1=0\)
See all solutions

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