Explicitly model reasoning about the size of a product in relation to the size of a whole number factor. What number is 8 less than 2 - solution with step by step explanation Below you can find the full step by step solution for you problem. Explicitly model reasoning about the size of a product in relation to the size of a whole number factor. Constant: a number that doesn't change. The context is the key to the symbols needed, not the word itself. If a 5 inch length is multiplied by , it is scaled down to 2 inches or half of its original length.
~In this case the product is actually smaller than either…. Ten is five less than a number. An expression is made up of terms. What number is 2 less than 8 - solution with step by step explanation Below you can find the full step by step solution for you problem. Include examples with decimals less than one and greater than one.
Ask the student to determine if the product will be greater than nine or less than nine by reasoning about the size of the scale factor. The smallest positive number is 1. Have the student use a number line or visual fraction model to represent products of fractions and whole numbers. We can say the same for all the products of all other positive numbers. What do you think happens to the product when you multiply a fraction less than one by another fraction less than one? Examples of Student Work at this Level The student is unable to reason about the product without attempting to determine the product.
A number is less than five. I hope you have a great day. Note: Your browser may print the answers with spaces that are not ment to be there. For example, if a 5 inch length is multiplied by two, it is scaled up to 10 inches or twice its original length. Six years ago, Sarah was three times as old as Louise. Then have the students exchange cards and determine the size of the product in relationship to the whole number by reasoning about the size of the fraction.
The product of two positive numbers is the result of multiplying them together. Expression in Words Expression in Symbols a number increased by twelve x + 12 the sum of twice a number and six 2 x + 6 eighty less than a number x — 80 twenty-eight split in half 28 ÷ 2 the product of a number and seven 7 x the quotient of a number and four x ÷ 4 five greater than three times a number 3 x + 5 a number distributed evenly among six x ÷ 6 the total of forty and a number 40 + x three times the total of a number and five 3 x + 5 Equation in Words Equation in Symbols A number is negative ten. Ten times the difference between a number and Fifty. Questions Eliciting Thinking Suppose you change to , how would your answer change? The student is only able to provide a response about the product by determining the product of the expression. Prepositional phrases break up the expressions into pieces. We hope it will be very helpful for you and it will help you to understand the solving process.
Third expression -Product of means multiply. The student incorrectly multiplies the numerator and denominator by two, explains the answer is , and says that is less than one. Instructional Implications Describe multiplication as a process of scaling. Some of our favorite terms include: 7 7 x 7 x 2 y x 6 y 11 z 2 These all count as a single term. Provide opportunities for the student to explore multiplying a whole number length such as 5 inches by fractions that are close to one, such as , , , , , , , and. Give the student a card with a fraction greater than one listed on it. Then call out a whole number to multiply by the fraction on the card.
Memorize the most common words for each operation. Answers double a number or the product of a number and two 2x 5. If you multiplied 5 by 2, would the product be less than five? Second expression -Ten times means multiply. Product is what you get when you multiply two terms together, right? The product of 9 and the total of z and 4 You can First expression -Eight less means subtract 8. Summarize the result in terms of scaling e. Provide an example of a calculator where the display only shows up to nine digits. Encourage the student to demonstrate this using an area model.
Guide the student to relate the size of the product to the size of the factor that is multiplying the whole number. Allow the student to partner with another student at the same level and ask each to write products of the form of a fraction times a whole number. Six years ago Sarah was triple Louise's age. Below, notice how the prepositional phrases, in blue, which begin with by, between, from, and than, make it easier to examine the phrase and determine where to start and what to do. A number, N, decreased by 18 Ans: N - 18 5. For example: 5 x 2 y — 3 xy + y + 5 This expression has four terms: 5 x 2 y, -3 xy, y or 1 y , and 5.
A number increased by twelve x + 12 Eighty less than a number x - 80 Five greater than three times a number 3x + 5 A number evenly distributed among 8 x ÷ 8 Five times the total of a number and ten 5 x +10 I hope this extra information will assist you with future word problems. The same is true for two variables next to each other: it means they're being multiplied. The context is the key to the symbols needed, not the word itself. Smiley faces and hearts, anyone? Variable: an unknown or changing number. If it's not what You are looking for, type integer numbers into the boxes below and see the solution. A number next to a variable means that number and variable are being multiplied.