## Unit 7: Exponents and Negative Numbers

Unit 7 Family Letter

## Required Study Links
7.1 - 7.10
7.11 is not required, but it is a whole unit review and I highly recommend it! |
Here are some websites for Unit 7... Learn-2-Learn Unit 7 EM Resources: Unit 7 E-Lab: Order of Operations Fun Brain: Order of Operations Order of Operations: Mystery Picture Basket Math Tutorial on Positive and Negative Numbers Math Memory AAA Math: Adding Positive and Negative Integers AAA Math: Adding Positive and Negative Integers (part 2) AAA Math Subtracting Positive and Negative Numbers |

## 7.1: Exponential Notation

## 7.2: Exponential Notation for Powers of 10

## 7.3: Scientific Notation

## 7.4: Parentheses in Number Sentences

## 7.5: Order of Operations

## 7.7: Using Negative Numbers

## 7.8 Addition of Positive and Negative Numbers

Rules:

"Both addends have the same sign (both pos.+ or both neg.-), add the Absolute Values, and write the sign of the addends in front of the sum."

-6 + (-3) = ?

1. Add the Absolute Value: 6 + 3 = 9

2. Write the sign of the addends in front of the sum: -6 + (-3) = -9

"When Addends have unlike signs (one + and one -), subtract the smaller from the larger Absolute Value, and write the sign of the addend with the larger Absolute Value in front of the answer."

-8 + 6 = ?

1. Subtract the smaller from the larger Absolute Value: 8 - 6 = 2

2. Write the sign with the larger number part in front of the answer: -8 + 6 = -2

"Both addends have the same sign (both pos.+ or both neg.-), add the Absolute Values, and write the sign of the addends in front of the sum."

-6 + (-3) = ?

1. Add the Absolute Value: 6 + 3 = 9

2. Write the sign of the addends in front of the sum: -6 + (-3) = -9

"When Addends have unlike signs (one + and one -), subtract the smaller from the larger Absolute Value, and write the sign of the addend with the larger Absolute Value in front of the answer."

-8 + 6 = ?

1. Subtract the smaller from the larger Absolute Value: 8 - 6 = 2

2. Write the sign with the larger number part in front of the answer: -8 + 6 = -2

## 7.9: Subtraction of Positive and Negative Number

Rule - Subtracting a negative, ex. 4 - (-1) = 5, is the same as adding a positive, ex. 4 + 1 = 5.

* Don't forget the sports analogy.

Here is a Khan Academy video on adding and subtracting negative numbers. Click on the links on the links on the left for examples and more videos on this.

Adding and Subtracting Negative and Positive Numbers

* Don't forget the sports analogy.

Here is a Khan Academy video on adding and subtracting negative numbers. Click on the links on the links on the left for examples and more videos on this.

Adding and Subtracting Negative and Positive Numbers

## 7.11: Calculator Practice: Working With Negative Numbers

## Unit 7 Review

Here is the Unit 7 Study Guide.

Printer-friendly version: Unit 7 Study Guide

Try these extra practice problems.

__Unit 7 Vocabulary__

account balance

ambiguous

axis

base

change-sign key (+/-)

debt

expanded notation

exponent

exponential notation

expression

holder

in the black

in the red

line graph

negative number

nested parentheses

number-and-word notation

opposite

order of operations

power of 10

power of a number

scientific notation

slide rule

slider

standard notation

trend

Venn diagram

ambiguous

axis

base

change-sign key (+/-)

debt

expanded notation

exponent

exponential notation

expression

holder

in the black

in the red

line graph

negative number

nested parentheses

number-and-word notation

opposite

order of operations

power of 10

power of a number

scientific notation

slide rule

slider

standard notation

trend

Venn diagram