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Cole D.

1.1

What are natural numbers?
Numbers used for counting (positive only, not zero.)

1.1

Whole Numbers
Counting numbers including 0 {0,1,2,3,..}

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1.1

When you write five thousand eighty-nine as 5,089, you are writing the number in
Standard form

1.1

Commas are used to separate digits in large whole number in groups of how many and what are they called?
Groups of 3.

Periods.

1.1

What is expanded form?
Instead of 2,368 it is

2,000 + 300 + 60 + 8

(can be used with words too)

1.1

Using graphing, you can put whole numbers on a
Number line

1.1

> and < are
Inequality symbols (greater or less than)

1.1

If you
Round Up

1.1

{What are these called?}

Braces

1.1

The position of a digit determines it's _____

Place Value.

1.2

Name the digits4 + 5 = 9

4=Addend

5=Addend

9=Sum/Total

1.2

The numbers being added in an equation

Addend

1.2

The solution of an addition problem
Sum

1.2

Commutive Property of Addition

The order in which whole numbers are added does not change their sum.

1.2

Associative Property of Addition

The way in which whole numbers are grouped does not change their sum.**Example:** (2+5)+4=2+(5+4)

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1.2

Front-End Rounding

Each addend is rounded to it's largest place value all digits but the first are 0. Used to estimate sums to addition.**Example:** 3,714+2,489+781=?

4,000+2,000+800=Estimate

1.2

Rise, gain, total and increase etc. are used to indicate

Addition

1.2

How do you get the dimensions of a rectangle?

Length and Width together

1.2

The distance around a rectangle or square is called _____

The Perimeter.

1.2

How to calculate perimeter for rectangle?

Square?

Length + Length +Width + Width

Side + Side + Side + Side

1.3

Label the numbers

9 - 4 = 5

9=Minued

4=Subtrahend

5=Difference

1.3

Minuend

The number from which another number is subtracted

(First number?)

1.3

Subtrahend
The number being subtracted

1.3

Difference

The answer of a subtraction problem

1.3

If the subtraction of the digits in any place-value column requires subtracting a larger digit from a smaller digit you have to _____ or _____

Borrow or regroup

1.3

Words that indicate operation of subtraction

Fall, lose, reduce, decrease etc.

1.3

Related Addition Statement

The opposite of the subtraction problem.**Example:** 9-4=5 because 4+5=9

1.3

Evaluate

Find the value of expressions written in horizontal form that involve addition and subtraction.**Example:** 27-16+5

1.3

Expressions

Numbers combined with the operations of addition, subtraction, multiplication and division (or any combination)

1.4

Label the digits with the correct terms

5 · 4 = 20

5=Factor

4=Factor

20=Product

1.4

Multiplication is _____ _____

Repeated Addition

1.4

The numbers being multiplied

Factors

1.4

The answer to a multiplication problem

Product

1.4

The order in which whole numbers are multiplied does not change their product

Commutative Property of Multiplication

1.4

The way in which whole numbers are grouped does not change their product

Associative Property of Multiplication

1.4

What is the word "quantity" used for?

To alert the reader to the () in the equation

1.4

Letters that represent numbers are called _____

Variables

1.4

Area

The amount of surface it encloses.

Written as x^{2}

1.4

How to calculate area

Length · Width

1.4

When multiplying, after carrying a number, do you add the numbers first then multiply or multiply and then add the carried number?

Add the carried number after multiplying

1.5

Quotient

Answer in a division problem

1.5

Dividend

The number being divided

1.5

Divisor

The number doing the dividing

1.5

Related Multiplication Statement

Proof of division.**Example:** 12÷4=3 is true because 3·4=12

1.5

Leftover numbers from division

Remainder. Written as xzy^{R-k}

1.5

Long Division Process
Estimate

Multiply

Subtract

Bring Down

1.5

Easy Division Cheats

2: Last digit is even

3: Sum of the digits is divisible by 3

4: Number formed by the last two digits is divisible by 4

5: Last digit is 0 or 5

6: Number is divisible by both 2 and 3

9: Sum of digits is divisible by 9

10: Last digit ends in 0

1.6

Steps to Problem Solving

1. Analyze the problem

2. Form a plan

3. Perform the calculations

4. State the conclusion

5. Check the result

1.6

Strategy

A plan of action to follow and solve the given problem

1.6

Translate

Turn the words of a problem into numbers and mathematical symbols

1.6

Other words for Addition

More than Increase Gained

Rise Total In All

Forward Altogether

1.6

Other words for Subtraction
How much more Less than Fall

Decrease Loss Fewer

Reduce Decline

1.6

Other words for Multiplication

Double Twice Triple Of

Times At this Rate Repeated Addition

Rectangular Array

1.6

Other words for Division

Distributed Equally Shared Equally

Split Equally

Per Among Goes Into

Equal-Sized Groups How many does each

1.6

Other words for Equal

Same Value Results in Are Is

Was Yields Amounts to

The same as

1.7

What does it mean to factor a whole number?

Express it as the product of other whole numbers.

1.7

Prime Number

A whole number greater than 1 that only 1 and itself are factors

1.7

Composite numbers

Whole numbers that are not prime

1.7

Is 0 and 1 prime and/or composite numbers?

Neither.

1.7

Prime Factorization

Write as the product of only prime numbers

1.7

What is the prime factored form of 90?

2·3·3·5

1.7

Fundamental Theorem of Arithmetic

Any composite number has exactly one set of prime factors

1.7

Factor Tree
28

/ \

2 14

/ \

2 7

The **prime factors of 28 are**: 2 and 7

1.7

Exponent and Base

6(base)^{3(exponent)}^{}

1.8

Multiples

The multiples of a number are the products of that number and 1,2,3...

1.8

LCM
Least Common Multiple.

The smallest common multiple of two whole numbers.

The smallest whole number that is divisible by both numbers.

1.8

How to find LCM by listing the multiples of the largest number

1. Write multiples on the largest number by multiplying it by 1,2,3,4,5 and so on.

2. Continue until you find the first multiple of the larger number that is divisible by each of the smaller numbers. That multiple is their LCM.

1.8

Finding LCM using Prime Factorization

1. Prime Factor each number

2. The LCM is a product of prime factors, where each factor is used the greatest number of times it appears in any one factorization.

1.8

GCF

Greatest Common Factor of two whole numbers is the largest common factor of the numbers.

1.8

Finding GCF using Prime Factorization

1. Prime Factor each number.

2. Identify the common prime factors.

3. The GCF is a product of all the common prime factors. If there is no common prime factors, the GCF is 1.

1.9

Order of Operations

PEMDAS

"Please excuse my dear Aunt Sally"

1.9

PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

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