Count from: a. two tenths to four tenths. b. one twentieth to nine twentieths. c. four fifteenths to ten fifteenths. d. one hundredth to eight hundredths e. ten fiftieths to twelve fiftieths. Complete the number lines: a.

Sure, let's go through each part step-by-step and complete the number line for part **a**. --- ### **Counting From** #### **a. Two Tenths to Four Tenths** **Fractions:** - \( \frac{2}{10} \) - \( \frac{3}{10} \) - \( \frac{4}{10} \) **Number Line:** Here’s a simple number line from 0 to 1, focusing on the range from \( \frac{2}{10} \) to \( \frac{4}{10} \): ``` 0 1/10 2/10 3/10 4/10 5/10 |---------|---------|---------|---------|---------| ``` **Highlighted Section:** ``` 2/10 ---- 3/10 ---- 4/10 ``` *Each interval represents one-tenth.* --- #### **b. One Twentieth to Nine Twentieths** **Fractions:** - \( \frac{1}{20} \) - \( \frac{2}{20} \) - \( \frac{3}{20} \) - \( \frac{4}{20} \) - \( \frac{5}{20} \) - \( \frac{6}{20} \) - \( \frac{7}{20} \) - \( \frac{8}{20} \) - \( \frac{9}{20} \) *Counting increases by one-twentieth each step.* --- #### **c. Four Fifteenths to Ten Fifteenths** **Fractions:** - \( \frac{4}{15} \) - \( \frac{5}{15} \) - \( \frac{6}{15} \) - \( \frac{7}{15} \) - \( \frac{8}{15} \) - \( \frac{9}{15} \) - \( \frac{10}{15} \) *Counting increases by one-fifteenth each step.* --- #### **d. One Hundredth to Eight Hundredths** **Fractions:** - \( \frac{1}{100} \) - \( \frac{2}{100} \) - \( \frac{3}{100} \) - \( \frac{4}{100} \) - \( \frac{5}{100} \) - \( \frac{6}{100} \) - \( \frac{7}{100} \) - \( \frac{8}{100} \) *Counting increases by one-hundredth each step.* --- #### **e. Ten Fiftieths to Twelve Fiftieths** **Fractions:** - \( \frac{10}{50} \) - \( \frac{11}{50} \) - \( \frac{12}{50} \) *Counting increases by one-fiftieth each step.* --- ### **Complete the Number Line** #### **a. Number Line from Two Tenths to Four Tenths** Below is a more detailed number line from \( \frac{0}{10} \) (0) to \( \frac{5}{10} \) (1/2), highlighting the range from \( \frac{2}{10} \) to \( \frac{4}{10} \). ``` 0 1/10 2/10 3/10 4/10 5/10 |--------|--------|--------|--------|--------| ``` **Completed Number Line with Highlights:** ``` 0 1/10 [2/10----3/10----4/10] 5/10 |--------|--------|--------|--------|--------| ``` *The brackets [ ] highlight the section from two tenths to four tenths.* **Explanation:** - Start at \( \frac{2}{10} \). - Move to \( \frac{3}{10} \) by adding \( \frac{1}{10} \). - Move to \( \frac{4}{10} \) by adding another \( \frac{1}{10} \). --- Feel free to reach out if you need further assistance with the other number lines or any additional problems!