Operations and Integers Mrs. Bryand. Fraction Fun.
-
Upload
magdalen-park -
Category
Documents
-
view
218 -
download
0
Transcript of Operations and Integers Mrs. Bryand. Fraction Fun.
![Page 1: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/1.jpg)
Operations and Integers
Mrs. Bryand
![Page 2: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/2.jpg)
Fraction Fun
![Page 3: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/3.jpg)
Were here to show you the rules!
Adding Fractions
Subtracting Fractions
Multiplying Fractions
Dividing Fractions
![Page 4: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/4.jpg)
Multiplying Fractions
Multiplying fractions is easyStraight Across!
![Page 5: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/5.jpg)
Try some. Multiply the following:
4 29 3
1 53 8
2 43 5
5 58 8
![Page 6: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/6.jpg)
Answers
4 2 89 3 27
1 5 53 8 24
2 4 83 5 15
5 5 258 8 64
![Page 7: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/7.jpg)
Dividing Fractions
Dividing fractions requires one more step
Keep It, Change It, Flip It
Called the reciprocal
![Page 8: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/8.jpg)
Examples: 5 ÷ 1 8 2
1 ÷ 3 4
![Page 9: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/9.jpg)
Adding Fractions
Adding fractions requires a common denominator
![Page 10: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/10.jpg)
Examples:
1 + 2 5 3
2 + ¼ ½
![Page 11: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/11.jpg)
Subtracting Fractions
Subtracting fractions requires a common denominator
![Page 12: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/12.jpg)
Examples:
2 – 1/5
¼ - 2/3
![Page 13: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/13.jpg)
To add or subtract with decimals you LINE up the decimals!
Ex: 2.345 + 17.4
Ex: 62.34 - 5
![Page 14: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/14.jpg)
To multiply or divide with decimals you place the decimal in the answer based on the number of digits behind the decimal in each term. The decimals in the problem do NOT have to line up.
Ex: 1.234 x 56.7
Ex: 4.2 ÷ 3
![Page 15: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/15.jpg)
Interesting Integers!
![Page 16: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/16.jpg)
Definition
Positive number – a number greater than zero.
0 1 2 3 4 5 6
![Page 17: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/17.jpg)
Definition
Negative number – a number less than zero.
0 1 2 3 4 5 6-1-2-3-4-5-6
![Page 18: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/18.jpg)
Definition Integers – Integers are all the
whole numbers and all of their opposites on the negative number line including zero.
7 opposite -7
![Page 19: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/19.jpg)
Definition Absolute Value – The size of
a number with or without the negative sign.
The absolute value of 9 or of –9 is 9.
![Page 20: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/20.jpg)
Negative Numbers Are Used to Measure Temperature
![Page 21: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/21.jpg)
Negative Numbers Are Used to Measure Under Sea Level
0102030
-10-20-30-40-50
![Page 22: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/22.jpg)
Negative Numbers Are Used to Show Debt
Let’s say your parents bought a car buthad to get a loan from the bank for $5,000.When counting all their money they add in -$5.000 to show they still owe the bank.
![Page 23: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/23.jpg)
Hint
If you don’t see a negative or positive sign in front of a number it is positive.
9+
![Page 24: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/24.jpg)
Integer Rules
Rule #1 – If the signs are the same, Add and Keep the sign
9 + 5 = 14-9 + -5 = -14
![Page 25: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/25.jpg)
Solve the Problems -3 + -5 = 4 + 7 = (+3) + (+4) = -6 + -7 = 5 + 9 = -9 + -9 =
-8
-18
14-13
7
11
![Page 26: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/26.jpg)
Integer Rules Rule #2 – If the signs are different…
“Opposites Subtract” and keep the sign of the bigger number!
-9 + +5 =9 - 5 = 4
Larger abs. value
Answer = - 4
![Page 27: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/27.jpg)
Solve These Problems
3 + -5 = -4 + 7 = (+3) + (-4) = -6 + 7 = 5 + -9 = -9 + 9 =
-25 – 3 = 2
0 -4
1-1
3
9 – 9 = 0
9 – 5 = 4
7 – 6 = 14 – 3 = 1
7 – 4 = 3
![Page 28: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/28.jpg)
Multiplying or Dividing IntegersIf the signs are the same the answer is
+If the signs are different the answer is –
Examples:(24)(3)(-108)(-4)(24)(-3)(-108)(4)
![Page 29: Operations and Integers Mrs. Bryand. Fraction Fun.](https://reader034.fdocuments.in/reader034/viewer/2022051621/5697bfa81a28abf838c99123/html5/thumbnails/29.jpg)
Aren’t integersinteresting?