unit 2.3  using models to Divide integers
what we need to know
 Number lines and how they can be used
 Understand how to use algebra tiles to multiply integers
 The sign rules for multiplication
 The meaning of "dividing"
 The relationship between multiplication and division
 Understand how to use algebra tiles to multiply integers
 The sign rules for multiplication
 The meaning of "dividing"
 The relationship between multiplication and division
class notes
more information
let's review the concept of division
the rule of signs for division
AS it turns out, the rules of signs for division are exactly like those for multiplication!
dividing integers using number lines
To use number lines, make sure you take the following into account:
 The dividend represents "where we want to go", and the divisor is the "amount of steps".
Example: (+24) / (+6) > we want to get to 24, taking groups of 6 steps
 Always start at zero!
 The dividend tells you WHICH WAY YOU'D BE FACING. That is, if you have to get to a negative number, you'd be facing towards the negative side of the number line. If you have to get to a positive number, you'd be facing the positive side of the number line.
 If the divisor is POSITIVE, it means you'd we walking FORWARD. But if it is negative, it means you'd be walking BACKWARDS.
Let's do some examples:
 The dividend represents "where we want to go", and the divisor is the "amount of steps".
Example: (+24) / (+6) > we want to get to 24, taking groups of 6 steps
 Always start at zero!
 The dividend tells you WHICH WAY YOU'D BE FACING. That is, if you have to get to a negative number, you'd be facing towards the negative side of the number line. If you have to get to a positive number, you'd be facing the positive side of the number line.
 If the divisor is POSITIVE, it means you'd we walking FORWARD. But if it is negative, it means you'd be walking BACKWARDS.
Let's do some examples:
In here:
(+10) is where we want to get to.
To get to (+10) you walk forward. because you need to take 2 steps. That is, the divisor is positive.
You walk forward, and because you are getting to +10, you face the (+) side.
 This means that your answer is (+).
 We took 5 steps, so our answer is (+5).
(+10) is where we want to get to.
To get to (+10) you walk forward. because you need to take 2 steps. That is, the divisor is positive.
You walk forward, and because you are getting to +10, you face the (+) side.
 This means that your answer is (+).
 We took 5 steps, so our answer is (+5).
In here:
 (12) is where we want to get to.
 Because the divisor is negative, it means that we have to walk backwards.
 We count by 6, walking backwards. But when we walk backwards we face the (+) side. This means our answer is (+).
 We took 2 steps, so our answer is (+2).
 (12) is where we want to get to.
 Because the divisor is negative, it means that we have to walk backwards.
 We count by 6, walking backwards. But when we walk backwards we face the (+) side. This means our answer is (+).
 We took 2 steps, so our answer is (+2).
In here:
 (8) is where we want to get to.
 Because the divisor is positive, it means that we have to walk forward.
 We count by 4, walking forward. As we walk forward, we face the () side. This means our answer is ().
 We took 2 steps, so our answer is (2).
 (8) is where we want to get to.
 Because the divisor is positive, it means that we have to walk forward.
 We count by 4, walking forward. As we walk forward, we face the () side. This means our answer is ().
 We took 2 steps, so our answer is (2).
In here:
 (+6) is where we want to get to.
 Because the divisor is negative, it means that we have to walk backwards.
 We count by 2, walking backwards. But this time, when we walk backwards we face the () side. This means our answer is ().
 We took 3 steps, so our answer is (3).
 (+6) is where we want to get to.
 Because the divisor is negative, it means that we have to walk backwards.
 We count by 2, walking backwards. But this time, when we walk backwards we face the () side. This means our answer is ().
 We took 3 steps, so our answer is (3).
dividing integers using counters or tiles
Division with positive integers
Division with negative integers
another way to see it
videos that may help
worksheets






review  workbook
math_8__workbook__unit_2.3.pdf  
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