What is an example of a division word problem?
A division word problem is a type of mathematical problem that involves the concept of division. It usually presents a situation or scenario and requires the solver to divide a certain quantity or set of items into equal groups or parts.
For instance, consider the following example:
Emily has 24 cookies that she wants to share equally among her 4 friends. How many cookies will each friend receive?
In this problem, we are given that Emily has a total of 24 cookies and she wants to divide them equally among her 4 friends. The question asks how many cookies each friend will receive. To solve this problem, we need to perform the division operation.
Using the division operation, we can calculate that each friend will receive 6 cookies. Therefore, the solution to this problem is that each friend will receive 6 cookies.
Another example of a division word problem could be:
Rachel bought a pack of 36 pencils. She wants to distribute them equally among 12 students in her class. How many pencils will each student get?
In this scenario, we have Rachel who has bought a pack of 36 pencils. She wants to divide them equally among her 12 students. The problem asks how many pencils each student will get. Again, we need to use the division operation to find the solution.
By performing the division operation, we can determine that each student will receive 3 pencils. Hence, the answer to this division word problem is that each student will get 3 pencils.
Division word problems are commonly found in mathematical exercises and are designed to help students practice their division skills. They require critical thinking and problem-solving abilities to find the correct answer.
What is an example of a division problem?
Division is an arithmetic operation that involves separating a whole quantity into equal parts. It is the process of finding out how many times one number can be divided by another number.
For example, let's consider the division problem: 20 divided by 5. In this problem, 20 is the dividend (the number being divided) and 5 is the divisor (the number by which we divide).
To solve this division problem, we need to find out how many times 5 can be divided into 20. By dividing 20 by 5, we find that it can be divided 4 times without any remainder. Therefore, the quotient (the result of the division) is 4.
So, 20 divided by 5 equals 4.
Division problems can also result in a remainder. Let's consider another example: 15 divided by 4.
In this case, when we divide 15 by 4, we find that 4 can go into 15, 3 times, with a remainder of 3. The quotient is 3 and the remainder is also 3. So, 15 divided by 4 equals 3 with a remainder of 3.
These are just a few examples of division problems. Division is an essential operation in mathematics and is used in various real-life situations, such as splitting a group of objects equally among people, calculating rates and proportions, and solving more complex mathematical problems.
What is an example of word division?
In the English language, word division refers to the practice of separating words in a written text to improve readability and assist in pronunciation. It involves breaking a word at a meaningful point that maintains its integrity. One example of word division is "unbelievable".
When dividing the word "unbelievable", it could be split into two parts: "un-" and "believable". This division allows readers to easily identify the prefix "un-" which indicates the negation of the root word "believable". This visual separation helps readers comprehend the meaning of the word more effectively.
To indicate word division in written text, a hyphen (-) is commonly used. In the case of "unbelievable", it would be written as "un- believable". This visual cue provides a clear indication of the word's structure and helps with pronunciation.
Word division is particularly crucial when it comes to compound words, where separate individual words are combined to create a new word. For example, the compound word "butterfly" can be divided into "butter" and "fly". By separating these components, the reader can understand that a butterfly is a type of insect, combining the concepts of butter and fly.
In conclusion, word division plays a significant role in maintaining readability and aiding in pronunciation. Whether it is dividing prefixes from root words or separating compound words, proper word division enhances comprehension and ensures accurate communication.
How do you know if a word problem is division?
Word problems can be tricky to solve, especially if you're not sure which mathematical operation to apply. One common question that comes up is how to tell if a word problem involves division. Here are a few key indicators to look out for:
- Sharing or dividing: If the problem involves sharing or dividing something equally among a group of people or objects, it is likely a division problem. For example, "Sarah has 15 candies and wants to share them equally among her 3 friends. How many candies will each friend get?" This problem involves dividing the total number of candies (15) by the number of friends (3) to find out the equal share.
- Finding the quotient: If the problem asks you to find the quotient or the result of dividing two values, it is a clear indication that division is involved. For instance, "Emily has 24 cookies and wants to divide them into 8 equal bags. How many cookies will be in each bag?" In this case, you need to divide the total number of cookies (24) by the number of bags (8) to determine the number of cookies in each bag.
- Repeated subtraction or equal groups: Sometimes, a word problem might involve repeated subtraction or finding the number of equal groups. These scenarios typically point towards division. For example, "A box contains 35 pens, and each pencil case can hold 7 pens. How many pencil cases will be filled?" To solve this, you divide the total number of pens (35) by the number of pens each pencil case can hold (7) to determine the number of filled pencil cases.
- Fractional parts or partitive division: Word problems that deal with finding a fractional part of a whole or involve partitive division are also division problems. For instance, "Tom ate 1/4 of the pizza. If the pizza had 8 slices, how many slices did he eat?" In this case, you divide the total number of pizza slices (8) by the fractional part Tom ate (1/4) to find out the number of slices he consumed.
Remember, these indicators aren't set in stone, and some word problems may require a combination of operations. It's essential to analyze the problem carefully and determine which mathematical operation is needed to find the solution.
What are 3 keywords for identifying division in a word problem?
In a word problem, there are three keywords that can help identify division. These keywords are share, distribute, and divide.
When a word problem involves the idea of sharing something equally among a certain number of people or objects, division is likely involved. For example, "Sarah had 12 candies and she shared them equally among her 4 friends. How many candies did each friend receive?" The keyword shared indicates that division is required to solve the problem.
Similarly, when a word problem requires distributing quantities equally among a group or allocating items in equal parts, division is typically required. For instance, "There are 30 pencils to be distributed equally among 6 children. How many pencils will each child receive?" The keyword distributed indicates that division is necessary to find the solution.
Lastly, the keyword divide itself often signals the presence of division in a word problem. When a problem states something like "John divided 24 cookies into 6 equal parts. How many cookies are in each part?" or "A pizza was cut into 8 equal slices. How much pizza does each slice represent?" the keyword divide highlights that division is involved in finding the answer.
Identifying these three keywords, share, distribute, and divide, can make it easier to spot division in word problems and guide the problem-solving process using appropriate mathematical operations.