QUESTION IMAGE
Question
name
read the problem below. then answer the questions to identify the steps for solving the problem.
mario has been at bat 22 times this baseball season. of those times at bat, he has hit the ball 15 times. what is the decimal equivalent of the fraction that relates the number of times mario has been at bat to the number of times he has hit the ball?
- underline the information you think might be important to solve this problem.
- circle the word that tells what form your answer should be in.
- choose the statement that will best help you solve this problem. explain your choice.
□ all fractions can be written with an equivalent fraction.
□ all rational numbers have a decimal equivalent that either terminates or repeats.
□ rational numbers can be positive or negative.
- complete the table to help you organize the information in this problem.
| number of hits | number of at - bats | ratio of hits to at - bats | related division expression |
|---|
Step1: Identify key - values
Number of hits = 15, number of at - bats = 22
Step2: Write the ratio
The ratio of hits to at - bats is $\frac{15}{22}$
Step3: Convert to decimal
$15\div22 = 0.68181\cdots$ (repeating decimal), written as $0.6\overline{81}$
For question 1: Underline "22 times this baseball season", "15 times", "decimal equivalent", "number of times Mario has been at bat", "number of times he has hit the ball"
For question 2: Circle "decimal"
For question 3:
- The correct statement is "All rational numbers have a decimal equivalent that either terminates or repeats."
- Explanation: We are finding the decimal equivalent of a fraction $\frac{15}{22}$ which is a rational number. This statement helps us understand that we can find a decimal form for this rational - fraction.
For question 4:
| Number of Hits | Number of At - Bats | Ratio of Hits to At - Bats | Related Division Expression |
|---|
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The decimal equivalent of the fraction $\frac{15}{22}$ is $0.6\overline{81}$; Underlined information as described above; Circled word "decimal"; Chosen statement "All rational numbers have a decimal equivalent that either terminates or repeats."; Table filled as shown above.