Images (space delimited)

Identifying Rational Numbers

Write each of the following rational numbers as either a terminating or repeating decimal.

https://openstax.org/

Classifying a Real Number

Classifying a Real Number

Fraction Explanation

15/5 implies having 15 pieces needed to be split amongst 5 people.

We can express the above idea as 15 divided by 5. What is that equal to?

Fraction Explanation

13/25 implies having 13 pieces needed to be split amongst 25 people.

We can express the above idea as 13 divided by 25. What is that equal to?

What is -5/7? (To the nearest hundredth)

-0.25|-0.71|0.57|-0.63

We can solve this problem by dividing -5 into 7 pieces.

Converting Fractions of a Unit into a Smaller Unit

http://tasks.illustrativemathematics.org/

Classifying a Real Number

5.MD.A.1, 5.NF.B.3

Five brothers are going to take turns watching their family's new puppy. How much time will each brother spend watching the puppy in a single day if they all watch him for an equal length of time?

Write your answer using only hours.

The day has 24 hours.

The problem can be solved by drawing a number line of length 24 and separating it into 5 equal parts.

The separation of the number line can be represented as a fraction or a decimal.

Mrs. Hinojosa had 75 feet of ribbon. If each of the 18 students in her class gets an equal length of ribbon, how long will each piece be?

Write your answer using only feet.

The problem can be solved by drawing a number line of length 75 and separating it into 18 equal parts.

The separation of the number line can be represented as a fraction or a decimal.

The process can be made easier by noticing both the length of the ribbon and the number of students are divisible by 6

https://openstax.org/

Classifying a Real Number

Classifying a Real Number

https://openstax.org/

Which of the following numbers does not belong in the set of natural number?

The natural numbers consist of the numbers used for counting.

Counting generally starts form the number 1.

Which of the following numbers belongs to the set of whole numbers?

The set of whole numbers is the set of natural numbers plus zero.

What does any fraction of the form 0/x simplify to? (where x is nonzero)

In which of the following sets can you find π?

Set of Irrational Numbers

Set of Rational Numbers|Set of Integers|Set of Natural Numbers|Set of Irrational Numbers

Set of Rational Numbers

The set of rational numbers includes fractions written as m/n where m and n are itnegers, and n does not equal 0.

Set of Irrational Numbers

The set of irrational numbers is the set of numbers that are not rational, are nonrepeating, and are nonterminating

π is not rational, nonrepeating, and nonterminating

Properties of Real Numbers

https://www.oercommons.org/

Classifying a Real Number

The Closure Property

If a and b are both real numbers, then the sum a+b is always a

Natural Number|Whole Number|Real Number|Rational Number

The closure proeprty states that if a and b are real numbers, then a+b is a unique real number, and a⋅b is a unique real number.

Commutative Property

If a and b are both real numbers and a*b = c, then what is b*a?

Commutative Property of Addition

The commutative proeprty of addition states that if a and b are real numbers, then a+b=b+a

Commutative Property of Multiplication

The commutative proeprty of addition states that if a and b are real numbers, then a*b=b*a

Using the Order of Operations

Use the order of operations to evaluate each of the following expressions.

https://openstax.org/

Performing Calculations Using the Order of Operations

Performing Calculations Using the Order of Operations

https://openstax.org/

What is (3*2)**2-4(6+2)?

The first step is to simplify the parentheses.

The next step is to simplify any exponents.

The next step is to simplify multiplication and division.

The final step is to simplify addition and subtraction.

What is 7(5*3)-2((6-3)-4**2)+1

The first step is to simplify the parentheses.

The next step is to simplify multiplication and division.

What is (-2)*(-13)?

The final step is to simplify addition and subtraction.

What is 105+26+1?

Distributive Property

https://openstax.org/

Performing Calculations Using the Order of Operations

Performing Calculations Using the Order of Operations

https://openstax.org/

What is 4(12+(-7))?

Distributive Property

The distributive property states that the product of a factor times a sum is the sum of the factor times each term in the sum. a⋅(b+c)=a⋅b+a⋅c

What is 48+(-28)?

What is  100(0.75+(-2.38))?

-149|-163|-313|-326

Distributive Property

The distributive property states that the product of a factor times a sum is the sum of the factor times each term in the sum. a⋅(b+c)=a⋅b+a⋅c

What is 100*0.75?

What is 100*(-2.38)?

What is 75+(-238)?

Combining Properties of Real Numbers

https://openstax.org/

Classifying a Real Number

Classifying a Real Number

https://openstax.org/

What is  (4/7)((2/3)(7/4))?

Commutative Property of Multiplication

The commutative proeprty of addition states that if a and b are real numbers, then a*b=b*a

What is (4/7)(7/4)?

What is  (5+8)+(-8)?

Commutative Property of Addition

The commutative proeprty of addition states that if a and b are real numbers, then a+b=b+a

Evaluating an Algebraic Expression at Different Values

Evaluate the expression 2x-7 for each value for x.

https://openstax.org/

Evaluating Algebraic Expressions

Evaluating Algebraic Expressions

https://openstax.org/

Plug in 0 in place of x. You then get the equation 2(0)-7.

Plug in 1/2 in place of x. You then get the equation 2(1/2)-7.

Plug in 0 in place of x. You then get the equation 2(-4)-7.

Evaluating Algebraic Expressions At Specific Values

Evaluate each expression for the given values.

https://openstax.org/

Evaluating Algebraic Expressions

Evaluating Algebraic Expressions

https://openstax.org/

Solve x+5 for x=−5.

Plug in -5 in place of x. You then get the equation -5+5.

Solve t/(2t−1) for t=10

10/19|10/21|10/20|10/22

Plug in 10 for t. You get the equation 10/(2(10)-1)

What is 10/(2(10)-1)?