my homework lesson 8 problem solving using logical reasoning answers

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McGraw Hill My Math Grade 4 Chapter 10 Lesson 8 Answer Key Problem-Solving Investigation: Extra or Missing Information

All the solutions provided in  McGraw Hill My Math Grade 4 Answer Key PDF Chapter 10 Lesson 8 Problem-Solving Investigation: Extra or Missing Information will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 4 Answer Key Chapter 10 Lesson 8 Problem-Solving Investigation: Extra or Missing Information

Learn the Strategy

2. Plan The fact that they traveled 4 days is extra information. Find \(\frac{3}{10}\) + \(\frac{27}{100}\).

Practice the Strategy

4. Check Does your answer make sense? Explain. Answer: 1. Understand What facts do you know? Charlotte walked \(\frac{6}{10}\) mile to school. After school, she walked \(\frac{24}{100}\) mile to her friend’s house. What do you need to find? The time taken for Charlotte to walk to school and to her friend’s house 2. Plan No information was given regarding to individual time taken by Charlotte to walk to her school and then to her friend’s place. The question was mentioned distance travelled by Charlotte, not time.

Apply the Strategy

Determine if there is extra or missing information to solve each problem. Then solve if possible.

Question 1. There are 100 movies at the store. \(\frac{30}{100}\) are action movies, \(\frac{50}{100}\) are comedies, and \(\frac{20}{100}\) are adventure movies. What part of the movies are action or comedies? Answer: \(\frac{80}{100}\) There is no extra or missing information. 1) Understand What facts do you know? Total movies = 100 Action movies = \(\frac{30}{100}\) Comedy movies = \(\frac{50}{100}\) Adventure movies = \(\frac{20}{100}\) What do you need to find? The part of the movies that are action or comedies 2. Plan The part of the movies that are action or comedies = \(\frac{30}{100}\) + \(\frac{50}{100}\) 3. Solve \(\frac{30}{100}\) + \(\frac{50}{100}\)= \(\frac{50 +30}{100}\) = \(\frac{80}{100}\) So, The part of the movies that are action or comedies =\(\frac{80}{100}\) 4. Check Checked and it makes sense.

Question 3. Alexia and her family went on vacation. They walked \(\frac{1}{10}\) mile to the beach and \(\frac{2}{10}\) mile to the souvenir shop. How far did they walk to the beach and to the souvenir shop? Answer: The distance they walked to the beach and to the souvenir shop = \(\frac{3}{10}\) There is no extra or missing information 1) Understand What facts do you know? Alexia and her family went on vacation. They walked \(\frac{1}{10}\) mile to the beach and \(\frac{2}{10}\) mile to the souvenir shop. What do you need to find? The distance they walked to the beach and to the souvenir shop 2. Plan \(\frac{1}{10}\) +\(\frac{2}{10}\) 3. Solve \(\frac{1}{10}\) +\(\frac{2}{10}\)  = \(\frac{1+2}{10}\)  = \(\frac{3}{10}\) Therefore, The distance they walked to the beach and to the souvenir shop = \(\frac{3}{10}\) 4. Check Checked and it makes sense.

Review the Strategies

Use any strategy to solve each problem.

• Determine extra or missing information.
• Use logical reasoning.
• Look for a pattern.
• Make a model.

Question 4. Trina is making friendship bracelets. One tenth of the bracelets are blue. Some of the bracelets are red and some are purple. How many bracelets are blue and purple? Answer: There is missing information 1) Understand What facts do you know? Trina is making friendship bracelets. One tenth of the bracelets are blue. Some of the bracelets are red and some are purple. What do you need to find? Number of bracelets that are in blue and purple 2) Plan We have information on number of blue colored bracelets. But,  we don’t have information on purple bracelets. They mentioned some are in purple in the question, but, they haven’t mentioned the accurate number. Because of missing information, this question cannot be solved.

Question 5. Mathematical PRACTICE Repeated Reasoning Find the next number in the pattern below. Explain how you found the number. \(\frac{15}{100}\), \(\frac{3}{10}\), \(\frac{45}{100}\), \(\frac{6}{10}\), \(\frac{75}{100}\),……. Answer: \(\frac{9}{10}\) latex]\frac{15}{100}[/latex], \(\frac{3}{10}\), \(\frac{45}{100}\), \(\frac{6}{10}\), \(\frac{75}{100}\),.. Represent all the number in the form of denominator of 100. Therefore, latex]\frac{15}{100}[/latex], \(\frac{30}{100}\), \(\frac{45}{100}\), \(\frac{60}{100}\), \(\frac{75}{100}\),.. If we observe the pattern above, all the numbers in the numerator are multiples of 15. So, the next number in the series is \(\frac{90}{100}\) = \(\frac{9}{10}\)

Question 6. The fourth grade classes voted on their favorite flavor of ice cream. Three tenths of the students voted for strawberry, \(\frac{21}{100}\) of the students voted for vanilla, and \(\frac{4}{10}\) of the students voted for chocolate. How many students voted for vanilla or chocolate? Answer: Total No. of students who voted for vanilla or chocolate = \(\frac{61}{100}\) 1. Understand What facts do you know? No. of students who voted for strawberry = three tenths = \(\frac{3}{10}\) No. of students who voted for vanilla = \(\frac{21}{100}\) No. of students who voted for chocolate = \(\frac{4}{10}\) What do you need to find? Total No. of students who voted for vanilla or chocolate 2. Plan No. of students who voted for strawberry are extra information here. Total No. of students who voted for vanilla or chocolate = \(\frac{21}{100}\) + \(\frac{4}{10}\) 3. Solve \(\frac{21}{100}\) + \(\frac{4}{10}\) = \(\frac{21}{100}\) + \(\frac{40}{100}\) = \(\frac{21 +40}{100}\) = \(\frac{61}{100}\) Therefore, Total No. of students who voted for vanilla or chocolate = \(\frac{61}{100}\) 4. Check Checked and it makes sense.

Question 7. Harper and his mom are making trail mix for a party. Two tenths of the trail mix is pretzels and \(\frac{32}{100}\) of the trail mix is cereal. The party starts at 1:00 P.M. How much of the trail mix is pretzels or cereal? Answer: The amount of trail mix which is pretzels or cereal = \(\frac{52}{100}\) There is an extra information here. 1. Understand What facts do you know? Two tenths, which is \(\frac{2}{10}\) of the trail mix is pretzels and \(\frac{32}{100}\) of the trail mix is cereal. The party starts at 1:00 P.M. What do you need to find? The amount of trail mix which is pretzels or cereal 2. Plan The party starts at 1:00 P.M is the extra information here. The amount of trail mix which is pretzels or cereal = \(\frac{2}{10}\) + \(\frac{32}{100}\) 3. Solve \(\frac{2}{10}\) + \(\frac{32}{100}\) = \(\frac{20}{100}\) + \(\frac{32}{100}\) = \(\frac{20 + 32}{100}\) = \(\frac{52}{100}\) Therefore, The amount of trail mix which is pretzels or cereal = \(\frac{52}{100}\) 4. Check Checked and it makes sense.

McGraw Hill My Math Grade 4 Chapter 10 Lesson 8 My Homework Answer Key

Question 2. Mathematical PRACTICE Make a Plan There are 100 books in the library. There are non-fiction and fiction books. Write the fraction of the books that are fiction. Answer:  There is missing information here 1. Understand What facts do you know? Make a Plan There are 100 books in the library. There are non-fiction and fiction books. What do you need to find? The fraction of the books that are fiction 2. Plan There is no proper information regarding number of fiction and non-fiction books. So, there is missing information here, there hence we cannot calculate the fraction of the books that are fiction.

Question 3. Sean has a collection of coins. One tenth of the coins are from Europe. Thirty-two hundredths are from Asia. The rest are from Africa. Write a decimal to show the total part of the coins that are from Europe or Asia. Answer: The decimal number to show the total part of the coins that are from Europe or Asia = 0.42 There is an extra information here. 1. Understand What facts do you know? One tenth of the coins are from Europe. Thirty-two hundredths are from Asia. The rest are from Africa. What do you need to find? The decimal number to show the total part of the coins that are from Europe or Asia. 2. Plan One tenth of the coins are from Europe, which is \(\frac{1}{10}\) Thirty-two hundredths are from Asia, which is \(\frac{32}{100}\) the total part of the coins that are from Europe or Asia = \(\frac{1}{10}\) + \(\frac{32}{100}\) 3. Solve \(\frac{1}{10}\) + \(\frac{32}{100}\) = \(\frac{10}{100}\) + \(\frac{32}{100}\)  = \(\frac{10 + 32}{100}\) = \(\frac{42}{100}\) Therefore, The total part of the coins that are from Europe or Asia = \(\frac{42}{100}\) = 0.42 in decimal 4. Check Checked and it makes sense.

Question 4. Kenley has 100 songs on her digital music player. Of the songs, seventeen-hundredths are country songs, two-tenths are musicals, and four-tenths are classical music songs. What part of the songs are either country or musicals? Write as a decimal. Answer: The part of the songs are either country or musicals  = \(\frac{37}{100}\) = 0.37 in decimal There is an extra information here 1. Understand What facts do you know? Kenley has 100 songs on her digital music player. Of the songs, seventeen-hundredths are country songs, two-tenths are musicals, and four-tenths are classical music songs. What do you need to find? The part of the songs are either country or musicals 2. Plan seventeen-hundredths are country songs, which is \(\frac{17}{100}\) two-tenths are musicals, which is \(\frac{2}{10}\) The information regarding classical music songs are extra information here. The part of the songs are either country or musicals  = \(\frac{17}{100}\) + \(\frac{2}{10}\) 3. Solve \(\frac{17}{100}\) + \(\frac{2}{10}\) = \(\frac{17}{100}\) + \(\frac{20}{100}\) = \(\frac{17 + 20}{100}\) =  \(\frac{37}{100}\) therefore, The part of the songs are either country or musicals  = \(\frac{37}{100}\) = 0.37 in decimal

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Chapter 11, Lesson 4: Problem-Solving Investigation: Use Logical Reasoning

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Course: LSAT   >   Unit 1

Getting started with logical reasoning.

• Introduction to arguments
• Catalog of question types
• Types of conclusions
• Types of evidence
• Types of flaws
• Identify the conclusion | Quick guide
• Identify the conclusion | Learn more
• Identify the conclusion | Examples
• Identify an entailment | Quick guide
• Identify an entailment | Learn more
• Strongly supported inferences | Quick guide
• Strongly supported inferences | Learn more
• Disputes | Quick guide
• Disputes | Learn more
• Identify the technique | Quick guide
• Identify the technique | Learn more
• Identify the role | Quick guide
• Identify the role | learn more
• Identify the principle | Quick guide
• Identify the principle | Learn more
• Match structure | Quick guide
• Match structure | Learn more
• Match principles | Quick guide
• Match principles | Learn more
• Identify a flaw | Quick guide
• Identify a flaw | Learn more
• Match a flaw | Quick guide
• Match a flaw | Learn more
• Necessary assumptions | Quick guide
• Necessary assumptions | Learn more
• Sufficient assumptions | Quick guide
• Sufficient assumptions | Learn more
• Strengthen and weaken | Quick guide
• Strengthen and weaken | Learn more
• Helpful to know | Quick guide
• Helpful to know | learn more
• Explain or resolve | Quick guide
• Explain or resolve | Learn more

Logical Reasoning overview

• Two scored sections with 24-26 questions each
• Logical Reasoning makes up roughly half of your total points .

Anatomy of a Logical Reasoning question

• Passage/stimulus: This text is where we’ll find the argument or the information that forms the basis for answering the question. Sometimes there will be two arguments, if two people are presented as speakers.
• Question/task: This text, found beneath the stimulus, poses a question. For example, it may ask what assumption is necessary to the argument, or what must be true based on the statements above.
• Choices: You’ll be presented with five choices, of which you may select only one. You’ll see us refer to the correct choice as the “answer” throughout Khan Academy’s LSAT practice.

What can I do to tackle the Logical Reasoning section most effectively?

Dos and don’ts.

• Don’t panic: You’re not obligated to do the questions in any order, or even to do a given question at all. Many students find success maximizing their score by skipping a select handful of questions entirely, either because they know a question will take too long to solve, or because they just don’t know how to solve it.
• Don’t be influenced by your own views, knowledge, or experience about an issue or topic: The LSAT doesn’t require any outside expertise. All of the information that you need will be presented in the passage. When you add your own unwarranted assumptions, you’re moving away from the precision of the test’s language and toward more errors. This is one of the most common mistakes that students make on the LSAT!
• Don’t time yourself too early on: When learning a new skill, it’s good policy to avoid introducing time considerations until you’re ready. If you were learning piano, you wouldn’t play a piece at full-speed before you’d practiced the passages very slowly, and then less slowly, and then less slowly still. Give yourself time and room to build your skill and confidence. Only when you’re feeling good about the mechanics of your approach should you introduce a stopwatch.
• Do read with your pencil: Active reading strategies can help you better understand logical reasoning arguments and prevent you from “zoning out” while you read. Active readers like to underline or bracket an argument’s conclusion when they find it. They also like to circle keywords, such as “however”, “therefore”, “likely”, “all”, and many others that you’ll learn throughout your studies with us. If you’re reading with your pencil, you’re much less likely to wonder what you just read in the last minute.
• Do learn all of the question types: An effective approach to a necessary assumption question is very different from an effective approach to an explain question, even though the passage will look very similar in both. In fact, the same argument passage could theoretically be used to ask you a question about the conclusion, its assumptions or vulnerabilities to criticism, its technique, the role of one of its statements, a principle it displays, or what new info might strengthen or weaken it!
• Do spend time on the fundamentals: The temptation to churn through a high volume of questions can be strong, but strong LSAT-takers carefully and patiently learn the basics. For example, you’ll need to be able to identify a conclusion quickly and accurately before you’ll be able to progress with assumptions or flaws (identifying gaps in arguments). Similarly, a firm understanding of basic conditional reasoning will be invaluable as you approach many challenging questions. Be patient with yourself!

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8th Grade Logic and Problem Solving

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