- Jul 2022
-
math.libretexts.org math.libretexts.org
-
4−|19−3(6−2)|24−|19−3(6−2)|\mathrm{24−|19−3(6−2)|}.
all three examples are exactly the same, just with numbers changed. We should probably restructure them a bit to get some variety.
-
hen we use the order of operations
Where did we talk about order of operations?
-
|−5|__−|−5||−5|__−|−5|\mathrm{|-5|}\_\_\mathrm{-|-5|} 8__−|−8|8__−|−8|\text{8__−|−8|} −9__−|−9|−9__−|−9|\text{−9__−|−9|} −(−16)__|−16|−(−16)__|−16|\text{−(−16)__|−16|}.
The underlines are somewhat visually confusing with the negatives. Any chance we could do boxes instead?
Also, we should probably do a couple of warm up problems where they compute the absolute values of a few things
-
on the number line, the negative numbers are a mirror image of the positive numbers, with zero in the middle. Because the numbers 222 and −2−2−2 are the same distance from zero, each one is called the opposite of the other. The opposite of 222 is −2−2−2, and the opposite of −2−2−2 is 222.
Do we want to discuss this earlier?
-
next section
could add hyperlink to "next section"
-
Say you have one slice of pizza and eat friend eats 2 slices. How many friends can you feed? You can feed half of a friend. In math this would look like this 1212\frac{1}{2}.
I like this a lot
-
For multiplication and division of two signed numbers: Same signs Result • Two positives Positive • Two negatives Positive If the signs are the same, the result is positive. Different signs Result • Positive and negative Negative • Negative and positive Negative If the signs are different, the result is negative.
could create punnett square style table using LaTeX; it'd be more succinct
-
2÷2=2÷2=2\div 2= 30÷6=30÷6=30\div 6= −27÷9=−27÷9=-27\div 9= −16÷−8=−16÷−8=-16\div -8= 648÷54=
word based problems?
-
How many of your friends can you feed with that pizza? This question is asking to divide 8 (slices of pizza) by 2 (the amount of slices each friend will eat). So 8÷2=48÷2=48\div 2=4, you will be able to feed 4 friends with 1 pizza. We call the result of division, the "quotient". For example, the quotient of 8 by 2 is 4.
we can definitely add some illustrations throughout these paragraphs to avoid the "text walls"
-
1⋅21⋅21\cdot 2 5⋅65⋅65\cdot 6 3⋅93⋅93\cdot 9 12⋅54
include some word problems like "find the product of 3 and 5"?
-
e see that the action of adding 2 to 1 to get 3 can be "undone" by subtracting 2 from
maybe throw in a comment that operations that "undo" each other are called "inverses"?
-
On a number line,
Describe how negative numbers appear on the number line; mention that smaller numbers are always on the left, and larger numbers are always on the right
-
integers, ZZ\mathbb{Z}, by
Do we want to include the "math" notation? Also might be worth adding a description in words here, such as "the integers include the negative and positive versions of the natural numbers"
Also, formatting, should italicize words we are defining
-