1. Boot Camp a quick review of previously learned math skills

3. Boot Camp Schedule Review Place Value and Conversions Concept Check
Review Rounding/Estimation and Simplifying Fractions
Review Coordinate Plane
Review Exponents and Integers

4. Place Value noun: place value; plural noun: place values
the numerical value that a digit has by virtue of its position in a number.
For example: In the number 352, the “5” is in the tens place which means the “5” has a value of 50

5. Place Value

6. Answer these questions in your Interactive Student Notebook (ISN).
What is the place value of the digit 7 in the number 6,789?
Which digit is in the thousands place in the number 68,521?
What is the place value of the digit 5 in the number ?
Which digit is in the tenths place in the number ?
What is the place value of the digit 8 in the number 13, ?
Which digit is in the ones place in the number ?

7. Conversions
noun: a conversion is defined as an exchange from one unit of measure to another.
An example of conversion is exchanging dollars for euros.
An example of conversion is figuring out how many cups are in a liter.

8. Conversions
verb: to convert is to change, to cause someone or something to change, or to alter your beliefs.
An example of convert is when you buy a single family house and break it up into apartments.
An example of convert is when you exchange dollars into Euros.

9. Conversions: Fractions, Decimals, Percents

12. Rounding What is Rounding? Rounding whole numbers to the nearest ten
Numbers that look nice in our mind are numbers that usually end with a zero such as 10, 30, and 200.
When rounding numbers, it usually means that you are going to try to put zero(s) at the end.
Numbers can be rounded to the nearest ten, hundred, thousand, ten-thousand, etc...
Rounded numbers are only approximates; they never give exact answers.
Rounding whole numbers to the nearest ten
When rounding to the nearest ten, if the last digit ends with 1, 2, 3, or 4, round to the next number that is smaller than the number given and ending with a zero.
For instance, round 43 to the nearest ten. The last digit is 3, so the next number smaller than 43 with an ending of zero is 40.
On the other hand, If the last digit is 5, 6, 7, 8, or 9, round to the next number bigger than the given number and ending with zero.
For instance, round 45 to the nearest ten. The last digit is 5, so the next number bigger than 45 and ending with zero is 50.

13. Examples:
Round these numbers to the nearest ten. 23 36 55 99

14. Rounding to the nearest 100
When rounding to the nearest hundred, you will need to look at the last two digits. If the last two digits is 49 or less round to the next number that is smaller than the number given and ending with two zeros.
For instance, round 549 to the nearest hundred. The last two digits is 49, so the next number smaller than 549 with an ending of two zeros is 500.
On the other hand, if the last two digits is 50 or more, round to the next number bigger than the given number and ending with two zeros.
For instance, round 865 to the nearest hundred. The last two digits is 65 and 65 is bigger than 50, so the next number bigger than 865 and ending with two zeros is 900.
Rounding whole numbers to the nearest ten
When rounding to the nearest ten, if the last digit ends with 1, 2, 3, or 4, round to the next number that is smaller than the number given and ending with a zero.
For instance, round 43 to the nearest ten. The last digit is 3, so the next number smaller than 43 with an ending of zero is 40.
On the other hand, If the last digit is 5, 6, 7, 8, or 9, round to the next number bigger than the given number and ending with zero.
For instance, round 45 to the nearest ten. The last digit is 5, so the next number bigger than 45 and ending with zero is 50.

15. Examples:
Round these numbers to the nearest hundred.
121
351
648
950

16. Rounding Decimals Step #1: Example #1: Round 2.1582 to hundredths.
Find the place you are rounding to. Is it the tenths, the hundredths, or the thousandths?
Step #2:
If the digit to the right of the place you are rounding to is 5 or more, add 1 to the place you are rounding to. If it is less than 5, add nothing.
Step #3: drop all the digits to the right of the place you are rounding to.
Example #1: Round to hundredths.
Step #1: The place you are rounding to is the place the number 5 holds:
Step #2: The digit to the right of 5 is 8 and it is at least 5.
Therefore, we can add 1 to 5 to make it 6
Step #3: Drop 82 (all digits to the right of 5)
The answer is 2.16

17. Rounding Decimals Examples: Round 5.18 to tenths
Example #2: Round to tenths
Step #1: The place you are rounding to is the place the number 2 holds: 4.241
Step #2: The digit to the right of 2 is 4 and it is less than 5.
Therefore, we add nothing to 2.
Step #3: Drop 41 (all digits to the right of 2)
The answer is 4.2
Examples:
Round 5.18 to tenths
Round to hundredths
Round 0.04 to tenths

18. Estimation
noun: an approximate or rough calculation often based on rounding
An example would be: Jack makes $4, per month. How much does he make in a year?
$ x 12 = $48,000.00

19. Estimate
verb: to estimate (to make) an approximate or rough calculation often based on rounding
An example would be: Jack makes $4, per month. How much does he make in a year?
$ x 12 = $48,000.00

20. Simplifying Fractions

21. Complete the attached problems by simplifying the
Examples
Complete the attached problems by simplifying the
fractions.

22. Coordinate Plane

23. Watch This!

24. Exponents

25. Exponents
Exponents are shorthand for repeated multiplication of the same thing by itself. For instance, the shorthand for multiplying the number 5 three times is shown on the right-hand side of the "equals" sign in (5)(5)(5) = 53. The "exponent", being 3 in this example, stands for however many times the value is being multiplied. The thing that's being multiplied, being 5 in this example, is called the "base".
This process of using exponents is called "raising to a power", where the exponent is the "power". The expression "53" is pronounced as "five, raised to the third power" or "five to the third".
There are two specially-named powers: "to the second power" is generally pronounced as "squared", and "to the third power" is generally pronounced as "cubed". So "53" is commonly pronounced as "five cubed".

26. Exponential vs. Expanded Forms
Exponential Form Expanded Form
 5  5  5  5
 4  4
Now, it’s your turn…

27. Answer these questions in your Interactive Student Notebook (ISN).
Write these in exponential form.
6  6  6  6  6  6 = _______
3  3  3 = _______
4  4  5  5  5  4 = _______

28. Answer these questions in your Interactive Student Notebook (ISN).
Write these in expanded form.
123 = _______
77 = _______
32  54 = _______

29. Integers Integers are the set of whole numbers and their opposites.
Whole numbers greater than zero are called positive integers.
Whole numbers less than zero are called negative integers.
The integer zero is neither positive nor negative, and has no sign.
Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line.
Positive integers can be written with or without a sign.

30. Integers

31. YOU HAVE SURVIVED BOOTCAMP
CONGRATULATIONS!
YOU HAVE SURVIVED BOOTCAMP
(FOR THE FIRST SEMESTER)