Mathematics for Elementary Teachers with Activities (5th Edition)
Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Chapter 6.3, Problem 25P

When you divide whole numbers using an ordinary calculator, the answer is displayed as a decimal. But what if you want the answer as a whole number with a remainder? Here's a method to determine the remainder with an ordinary calculator, illustrated with the example of 236 ÷ 7 .
Use the calculator to divide the whole numbers:
   236 ÷ 7 = 33.71428...
Subtract the whole number part of the answer:
   33.71428... 33 = 0.71428...
Multiply the resulting decimal by the divisor (which was 7):
   0.71428... 7 = 4.99999 ( o r   5 )
Round the resulting number to the nearest whole number. This is your remainder. In this example the remainder is 5. So 236 ÷ 7 = 33 , remainder 5.

  1. Using a calculator, solve at least two more division problems with whole numbers, and use the preceding method to find the answer as a whole number with a remainder. Check that your answers are correct.
  2. Now solve the same division problems you did in part (a), except this time give your answers as mixed numbers instead of as decimals.
  3. Use the mixed number version to help you explain why the calculator method for determining the remainder works.

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Chapter 6 Solutions

Mathematics for Elementary Teachers with Activities (5th Edition)

Ch. 6.2 - a. Explain why 115=.11using...Ch. 6.2 - Describe how to get the mixed number answer to 235...Ch. 6.2 - a. Write a simple how-many-units-in-1 -group word...Ch. 6.2 - Write and solve four different word problems for...Ch. 6.2 - For each of the problems that follow, write the...Ch. 6.2 - Explain how to solve the next problems with...Ch. 6.2 - In your own words, describe a procedure for...Ch. 6.2 - * Halloween (October 31) of 2014 was on a Friday,...Ch. 6.2 - Must there be at least one Friday the 13th in...Ch. 6.2 - Presidents' Day is the third Monday in February....Ch. 6.2 - I'm thinking of a number. When you divide it by 2,...Ch. 6.2 - I'm thinking of a number. When you divide it by...Ch. 6.2 - Three robbers have just acquired a large pile of...Ch. 6.2 - A year that is not a leap year has 365 days. (Leap...Ch. 6.3 - a. Calculate 42156 and 62,63532 in two ways: with...Ch. 6.3 - a. Use the scaffold method to calculate 7934. b....Ch. 6.3 - a. Use the common method for implementing the...Ch. 6.3 - a. Use the common method for implementing the...Ch. 6.3 - Tamarin calculates 83425 in the following way: I...Ch. 6.3 - Felicia is working on the following problem: There...Ch. 6.3 - Rodrigo calculates 65015 in the following way: 150...Ch. 6.3 - Meili calculates 120045 in the following way:...Ch. 6.3 - Calculate 6238 without using a calculator or any...Ch. 6.3 - Calculate 200075 without using a calculator or any...Ch. 6.3 - Use some or all of the multiplication facts...Ch. 6.3 - Use the two multiplication facts, 3012=360 and...Ch. 6.3 - how the whole-number-with-remainder and the...Ch. 6.3 - Show how to use division to determine the decimal...Ch. 6.3 - Describe how to use either dimes and pennies or a...Ch. 6.3 - Describe how to use either dimes and pennies or a...Ch. 6.3 - a. Use the standard division algorithm to...Ch. 6.3 - Describe how to use either dimes and pennies or a...Ch. 6.3 - a. Use division to determine the decimal...Ch. 6.3 - Jessica calculates that 73=2, remainder 1. When...Ch. 6.3 - a. Write and solve a simple word problem for...Ch. 6.3 - a. Suppose you want to estimate 45938 By rounding...Ch. 6.3 - Bob wants to estimate 1893275. He decides to round...Ch. 6.3 - * A student calculates 69987 as follows, and...Ch. 6.3 - When you divide whole numbers using an ordinary...Ch. 6.4 - Explain how to use the math drawings of Figures...Ch. 6.4 - A Bread Problem: If 1 loaf of bread requires 114...Ch. 6.4 - A Measuring Problem: You are making a recipe that...Ch. 6.4 - wWrite a how-many-groups word problem for 423=?...Ch. 6.4 - Write a how-many-groups word problem for 514134=?...Ch. 6.4 - Jose and Mark are making cookies for a bake sale....Ch. 6.4 - Marvin has 11 yards of cloth to make costumes for...Ch. 6.4 - A Laundry Problem: You need 34 cup of laundry...Ch. 6.4 - Write a how-many-groups word problem for 234=? and...Ch. 6.4 - Write a how-many-groups word problem for 1314=?...Ch. 6.4 - Write a how-many-groups word problem for 1223=?...Ch. 6.4 - Write a simple how-many-groups word problem for...Ch. 6.4 - a. By rewriting the division problem 1833911=? as...Ch. 6.4 - Use the fact that we can rewrite the division...Ch. 6.4 - a. Tyrone says that 125 doesn't make sense because...Ch. 6.4 - * Fraction division word problems involve the...Ch. 6.5 - Explain how to use the math drawings of Figures...Ch. 6.5 - Write a how-many-units-in-1-group word problem for...Ch. 6.5 - Write a how-many-units-in-1-group word problem for...Ch. 6.5 - Write a how-many-units-in-1-group word problem for...Ch. 6.5 - Write a how-many-units-in-I-group word problem for...Ch. 6.5 - If 112 cups of a cereal weigh 2 pounds, how much...Ch. 6.5 - It took a mule 23 of an hour to go 45 of a mile....Ch. 6.5 - It took 113 cans of paint to paint 25 of a room....Ch. 6.5 - Write a word problem for 3412=? and another word...Ch. 6.5 - For each of the following problems, determine if...Ch. 6.5 - Sam picked 12 gallon of blueberries. He poured the...Ch. 6.5 - A road crew is building a road. So far, 23 of the...Ch. 6.5 - Will has mowed 23 of his lawn, and so far it has...Ch. 6.5 - Grandma's favorite muffin recipe uses 134 cups of...Ch. 6.5 - Tran write following word problem for 13412?:...Ch. 6.6 - Sue needs to cut a piece of wood 0.4 of an inch...Ch. 6.6 - a. Write a how-many-groups word problem for...Ch. 6.6 - a. Calculate 28.30.07to the hundredths place...Ch. 6.6 - a. Calculate 16.80.35to the hundredths place...Ch. 6.6 - Ramin must calculate 8.423.6 longhand, but he...Ch. 6.6 - a. Make a math drawing like Figure 6.30, and use...Ch. 6.6 - A federal debt problem: If the federal debt is $11...Ch. 6.6 - A tax cut problem: If a 1.3 trillion dollar tax...Ch. 6.6 - Light travels at about 300,000 kilometers per...Ch. 6.6 - A newly discovered star is about 75 trillion...Ch. 6.6 - Light travels at a speed of about 300,000...Ch. 6.6 - Susan has a 5-pound bag of flour and an old recipe...Ch. 6.6 - In ordinary language, the term divide means...Ch. 6.6 - When Mary converted a recipe from metric...Ch. 6.6 - * Suppose you need to know how many...Ch. 6.6 - Sarah is building a carefully crafted cabinet and...

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