Question

learning goal 3.1: the students will convert between fractions and decimals and convert between percentages and decimals. select all numbers that are not equivalent to 0.04. show your work. \\(\frac{2}{5}\\) 0.4% 0.40% \\(\frac{4}{100}\\)

Explanation:

Step1: Analyze $\frac{2}{5}$

To convert a fraction to a decimal, divide the numerator by the denominator. So, $\frac{2}{5} = 2\div5 = 0.4$. Since $0.4
eq0.04$, $\frac{2}{5}$ is not equivalent.

Step2: Analyze $0.4\%$

To convert a percentage to a decimal, divide by 100. So, $0.4\%=\frac{0.4}{100}=0.004$. Since $0.004
eq0.04$, $0.4\%$ is not equivalent.

Step3: Analyze $0.40\%$

Convert the percentage to a decimal: $0.40\%=\frac{0.40}{100}=0.004$. Since $0.004
eq0.04$, $0.40\%$ is not equivalent.

Step4: Analyze $\frac{4}{100}$

Convert the fraction to a decimal: $\frac{4}{100}=4\div100 = 0.04$. So, $\frac{4}{100}$ is equivalent.

Answer:

$\boldsymbol{\frac{2}{5}}$, $\boldsymbol{0.4\%}$, $\boldsymbol{0.40\%}$