This is a place for the community of learners in Room 8-17 to learn and enjoy math. It is an extension of the classroom making it accessible 24 hours a day, 7 days a week.
QUOTATIVE DIVISION or Sharing Your Total with Groups
(-6) / (-3) = 2
How many groups of (-3) are in -6
Only partative will work.
6 / 3 = 2
2 x 3 = 6
3 x 2 = 6
(-6) / (-3) = 2
2 x (-3) = -6
(-3) x (2) = -6
If you have no negative or an even number of negative signs in a division question, the quotient is positive.
-6 / 3 = - 2
Share (-6) with 3 groups
QUOTATIVE DIVISION
-6 / (+3) = (-2)
(-2) x (+3) = -6
(+3) x (-2) = -6
6 / (-3) = -2
When you have an odd number of ( - ) signs in a division question, the quotient is negative.
You'll see something like:
ORDER OF OPERATIONS WITH INTEGERS
When solving integer problems, you need to know or decide what operation to perform.
The order of operations for integers is the same as for whole numbers and decimals.
You should always solve an integer expression or equation by:
1. Brackets. (IF there's a square bracket, do that first then the round bracket)
2. Multiply and divide in order, from left to right.
3. Add and subtract in order, from left to right.
To solve the equation :
(+5) x (-3) + (-6) ÷ (+3),
You have to follow the rules I listed up top. But as you see, the brackets used in that expression was only used as a guide, so you don't have to do something about that. So first, multiply (+5) to (-3) and you'll get (-15). Now, divide (-6) and (+3) and you'll get (-2). Lastly, add (-15) and (-2) and you'll get (-17) as your final answer.
Still having a hard time solving this? Check out this links to help you with the Order of Operations.
2. A right rectangular prism has six faces. Why might you have to find the area of only three of the faces to be able to find the surface area? Use pictures and words to explain your thinking. 4. Find the surface area of this CD case.
6. Cheese is sometimes packaged in a triangular box. How much cardboard would you need to cover this piece of cheese if you do not include overlapping? Calculate your answer to the nearest tenth of a square centimeter.
8. Paco builds a glass greenhouse.
a) How many glass faces does the greenhouse have?
b) How much glass does Paco need to buy?
ANSWERS:
2.) I only need to find 3 faces instead of 6 to be able to find the surface area because rectangular prisms share sides. 2 tops, 2 sides, and 2 fronts.
4.) First, you have to find the length and width of each views. For the top view, it's 1cm x 12.3cm, there's 2 top views so it would be 1cm x 12.3 on the other side too. Front view is 14 cm x 12.3 cm, same as the other side. Side view is 14 cm x 1 cm, same as the other side.
6.) A triangular prism has 2 triangles and 3 rectangles.First, we have to find the length and width of the triangles,or rectangles (which ever way you want to start it).We have to use the formula.For rectangle, the formula is b x h =n.The formula for the triangle is b x h divided by 2=n.
8.) Do the steps shown in number 6.
a.) There are 4 glass faces that a greenhouse have. b.) Paco needs 6.36 m2.
PERCENT- means out of 100 -can be expressed as fraction (n/100) and as a decimal (o.1) 4.1 Representing Percents:
- One completely shaded grid represents 100%
- If you need to shade more than 100, you can useanother grid.
- To show a fractional percent between 0% and 1%, shade part of one square - To represent a fractional percent more than 1%, shade squares from a hundred grid to show the whole number and part of one square from the grid to show the fraction.
EXAMPLE:
4.2 Fractions,Decimals, and Percents -Fractions, decimals, and percents can be used to show numbers in different situations. -Percents can be written as fractions and as decimals.
EXAMPLE:
4.3 Percent of a Number -We can use mental math techniques such as halving, doubling, and dividing by 10 to find the percents of some numbers. - To calculate the percent of a number, write the percent as a decimal and then multiply by the number.
EXAMPLE: 12 1/2 % of 50 = 0.275 x 50 = 13.75
4.4 Combining Percents -Percents can be put together by adding to solve problems. eg. 5% + 7% = 12% ( We always use 12% as tax in our case) - You can add the combined percent amount to the original number. eg. 15 % of 100 = 0.15 x 100 = 15 100 + 15 = 115 - You can multiply the original number by a single percent greater than 100. eg. 155% of 100 = 1.15 x 100 = 115 - Percents of percents can be used to figure out amounts that result from consecutive percent increases or decreases
