Question

1. write the decimal number 0.375 as a fraction in simplest form.
2. compare the following number using <, >, or =.

√18 4.121451214...

Explanation:

Question 6

Step1: Write decimal as fraction

0.375 has three decimal places, so we can write it as $\frac{375}{1000}$.

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 375 and 1000. The GCD of 375 and 1000 is 125. Divide both the numerator and the denominator by 125: $\frac{375\div125}{1000\div125}=\frac{3}{8}$.

Step1: Approximate $\sqrt{18}$

We know that $\sqrt{16} = 4$ and $\sqrt{25}=5$, so $\sqrt{18}$ is between 4 and 5. Calculate the approximate value: $\sqrt{18}\approx4.2426$.

Step2: Compare the numbers

We have $\sqrt{18}\approx4.2426$ and the other number is $4.121451214...$. Since $4.2426>4.121451214...$, we use the '>' symbol.

Answer:

$\frac{3}{8}$

Question 8