The Real Number System
There are five (5) different categories of numbers in the Real Number system. Name two of them.
What are. . . (any of: Counting, Whole, Integers, Rational, or Irrational). . . numbers?
1/8 as a decimal is _______
What is "0.125"?
2 1/2 cups of flour, 1 1/4 cups of sugar, and 1/2 cup of brown sugar are mixed in a bowl. How many cups of ingredients are there total?
What is "4 1/4"?
Some of the earliest counting systems developed by humans depended on the counting of __________ and ___________.
What is "fingers and toes"?
One of Mr. Knaus and Ms. Ondersma's favorite sayings about math is: "___________ are proof you are trying."
What is "mistakes"?
The difference between Counting numbers and Whole numbers is that Whole numbers include the number _______
What is "zero"?
In order to add and subtract fractions, you need a _________ __________
What is a "common denominator"?
If a car is traveling at a consistent rate and travels 325 miles in 5 hours, its rate of travel (or unit rate) is ____________ (note: answer must include units)
What is "65 miles per hour"
The Chinese tool created for counting large numbers was called the __________.
What is the "abacus".
One of the most important qualities of a good mathematician is ___________, or the ability to "stick with" a problem even when the answer is not easily apparent.
What is "perseverance"?
Integers are made up of all Whole Numbers and their _________ _________
What are "negative opposites"?
You can turn a whole number into a fraction by placing it over _______.
What is "one"?
A small bag of coffee weighs 7/12 of a kilogram. A larger bag weighs 4/5 of a kilogram. How much larger is the large bag than the small bag?
What is "13/60 kilograms"?
The Incan tool for counting large numbers (The Quipu) consisted of counting _________ and _________
What are "knots and chords"
One of the steps in using the CUBES method for solving word problems is ________. (Hint: What do the letters of the acronym CUBES stand for)
What are (any answer may apply):Circle key numbers, Underline the question, Box math clue words, Evaluate and Eliminate, and Solve and Show your work?
________ numbers consist of fractions, and repeating and terminating decimals
What are "Rational numbers"?
All fraction problems are __________ problems
What is "division"?
When calculating rates, the numerator is always the ___________ variable and the denominator is always the ___________ variable.
What is "dependent and independent"?
The number system we use today is called the ________ _________ number system. Also acceptable: Name the countries or regions of the world where the modern numbers we use today were created.
What is the "Hindu-Arabic" numeral system? Or, what is Arabia (the Middle East), or India?
A rule for subtraction and division that does not apply to addition and multiplication is that ________ matters
What is "order"?
__________ numbers can not be written as a ratio (or fraction) of two integers, including non-repeating/non-terminating decimals. An example of one of these numbers is ____________.
What is "Irrational numbers"?
Example: (answers may vary) pi, any non-repeating/non-terminating decimal.
What is "multiply then add"
Student A has a collection of baseball cards. Student A gives 2/5 of their collection to Student B. Student B ends up with 14 cards. How many cards did Student A have to begin with?
What is "35 cards"?
The Sumerian and Babylonian number system were based off a base _______ system (hint: think of the modern clock)
What is "Base 60"?
The method we use for long division or multiplication is known as an _____________. (hint: a repeated pattern of steps)
What is an "algorithm"?