Question

day 1
1 an electric eel has a length of 0.95 meters. what fraction is equivalent to the length of this electric eel in meters? dont forget to simplify!
2 order the integers from greatest to least 42, -38, -56, 85, -23
3 what is 14% as a fraction in simplest form?
solve each problem.
4 -4 - 2 =
5 6 - 9 =
6 -12(-8) =
7 -4 + -7 =
8 -2 - -3 =
9 10(-3) =
10 -66 ÷ -11 =
11 30 ÷ -5 =

Explanation:

Question 1

Step1: Convert decimal to fraction

\(0.95=\frac{95}{100}\)

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 95 and 100. The factors of 95 are 1, 5, 19, 95. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The GCD of 95 and 100 is 5. Divide numerator and denominator by 5: \(\frac{95\div5}{100\div5}=\frac{19}{20}\)

Step1: Compare positive integers

Among 42 and 85, \(85>42\)

Step2: Compare negative integers

For negative integers \(-38\), \(-56\), \(-23\), we know that when comparing two negative numbers \(-a\) and \(-b\) (\(a,b>0\)), if \(a < b\), then \(-a> -b\). Since \(23<38<56\), we have \(- 23>-38>-56\)

Step1: Write percentage as fraction

\(14\%=\frac{14}{100}\)

Step2: Simplify the fraction

The GCD of 14 and 100 is 2. Divide numerator and denominator by 2: \(\frac{14\div2}{100\div2}=\frac{7}{50}\)

Answer:

\(\frac{19}{20}\)

Question 2