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Place Value

By Esme
What is Place Value?


Place value is the value or amount of a single
digit of a number. This includes Integers,
Percentages, Decimals, Fractions, Ones, Tens,
Thousands etc.
What is an Integer?



An integer is a whole number, not a Decimal,
Fraction or Percentage. Usually it just means a
negative or positive number.
What is a Positive Number
 or a Negative Number?
Positive Numbers

A positive number is a number above zero on the
number line.

Negative Numbers

A negative number is a number below zero on
the number line. If there is a - sign in front it is a
negative number (-9).
What is Absolute Value?



The amount or value from the number 0,
ignoring the integer signs (- or +). So -9 and +9
have the same absolute value which is 9!
Adding and
Subtracting Integer
  Explanations
Adding Integers 1
How to add positive and a
negative?
 If you have a problem like 8 + -9
 you subtract instead or add, so
 change the symbol from adding to
 subtracting. Also change the
 negative into a positive. So 8 + -9
 would be 8 - 9. Than just subtract
 normally. If the If the number after
 - is bigger than the first number
 than the sum is a negative
 number.
Adding Integers 2
   How to add
   Negative and a
   Positive?
Adding a negative and a positive
looks like -9 + 8. If the second
number is bigger than the first
number the sum is a positive, if the
second number is smaller than the
sum is a negative. So -9 + 8 =
negative. To solve the problem you
go the amount of the second number
to the right on the number line (If
you have -9 + 8, you go 8 numbers
to the right). Than what number you
end up is the answer!!! So -9 + 8 = -1
Adding Integers 3

How to add 2
negatives?
Example: -8 + -9
Remember this, negative
plus negative equals
negative. First change the
negatives into positives.
Then just add normally,
after you have the sum put
a negative sign in front, so
-8 + -9 = -17
Subtracting Integers 1

How to subtract positive
with a negative?
 If you have a problem like 8 -
 -9 you actually add instead of
 subtracting. So change the
 subtract (-) symbol into a
 adding sign(+). Then you
 change the negative into a
 positive. The problem should
 end up looking like this (8 +
 9). Then just add normally!
Subtracting Integers 2

How to subtract a
negative and a positive?
 If you have a problem like -9 - 8,
 this is how you do it. First you
 need to know that the answer is
 always a negative. First change
 the negative into a positive, also
 don’t subtract you should add.
 Then add normally, when you
 have the sum change it to a
 negative. (Example if the cum is
 17, change to -17) So -9 - 8 = -17
Subtracting Integers 3

How to subtract 2
negatives?
 A problem like -2 - -2 equals either
 a negative or a positive. First
 change the second number into a
 positive. Also don’t subtract, you
 add. Then add, -2 + 2 = 0. Hint go
 to the right when using the
 number line.
Thank You!

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Esme's Place Value Study Guide

  • 2. What is Place Value? Place value is the value or amount of a single digit of a number. This includes Integers, Percentages, Decimals, Fractions, Ones, Tens, Thousands etc.
  • 3. What is an Integer? An integer is a whole number, not a Decimal, Fraction or Percentage. Usually it just means a negative or positive number.
  • 4. What is a Positive Number or a Negative Number? Positive Numbers A positive number is a number above zero on the number line. Negative Numbers A negative number is a number below zero on the number line. If there is a - sign in front it is a negative number (-9).
  • 5. What is Absolute Value? The amount or value from the number 0, ignoring the integer signs (- or +). So -9 and +9 have the same absolute value which is 9!
  • 7. Adding Integers 1 How to add positive and a negative? If you have a problem like 8 + -9 you subtract instead or add, so change the symbol from adding to subtracting. Also change the negative into a positive. So 8 + -9 would be 8 - 9. Than just subtract normally. If the If the number after - is bigger than the first number than the sum is a negative number.
  • 8. Adding Integers 2 How to add Negative and a Positive? Adding a negative and a positive looks like -9 + 8. If the second number is bigger than the first number the sum is a positive, if the second number is smaller than the sum is a negative. So -9 + 8 = negative. To solve the problem you go the amount of the second number to the right on the number line (If you have -9 + 8, you go 8 numbers to the right). Than what number you end up is the answer!!! So -9 + 8 = -1
  • 9. Adding Integers 3 How to add 2 negatives? Example: -8 + -9 Remember this, negative plus negative equals negative. First change the negatives into positives. Then just add normally, after you have the sum put a negative sign in front, so -8 + -9 = -17
  • 10. Subtracting Integers 1 How to subtract positive with a negative? If you have a problem like 8 - -9 you actually add instead of subtracting. So change the subtract (-) symbol into a adding sign(+). Then you change the negative into a positive. The problem should end up looking like this (8 + 9). Then just add normally!
  • 11. Subtracting Integers 2 How to subtract a negative and a positive? If you have a problem like -9 - 8, this is how you do it. First you need to know that the answer is always a negative. First change the negative into a positive, also don’t subtract you should add. Then add normally, when you have the sum change it to a negative. (Example if the cum is 17, change to -17) So -9 - 8 = -17
  • 12. Subtracting Integers 3 How to subtract 2 negatives? A problem like -2 - -2 equals either a negative or a positive. First change the second number into a positive. Also don’t subtract, you add. Then add, -2 + 2 = 0. Hint go to the right when using the number line.

Editor's Notes