pegflans314
21.10.2020 •
Mathematics
Activity
An atom consists of electrons, protons, and neutrons. Each electron has a charge of -1, each proton has a charge of +1, and each neutron has no charge. If 3 electrons are removed from each of 4 atoms, what is the combined net change to the charge of the 4 atoms? Complete the steps below to solve this problem and others like it.
Part A
Three electrons are removed from each of 4 atoms. Write an expression to represent the net change on the charge for the group of atoms.
Part B
Simplify the expression obtained in part A and explain what the answer represents.
Part C
Here’s a similar problem. Write an expression for the net change in charge if two electrons are added to each of six atoms in a group. Also, write an expression that represents removing two protons each from a group of six atoms.
Part D
Simplify the two expressions in part C.
Part E
How are the two products in part D related?
Part F
Think about multiplying any two rational numbers. Based on this activity and your previous work, write a set of rules for finding the sign of the product based on the sign of the two numbers being multiplied.
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Ответ:
Step-by-step explanation:
A: The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).
B: (-3)(-4) = (-1)(3)(-1)(4) = (-1)(-1)(3)(4) = 12
The net change in the charge for the group of atoms is 12 (or +12); that is, the charge of the atoms increases by 12.
C: Adding two electrons to each of six atoms results in a net change in charge of (-2)(6). Removing two protons from each of six atoms results in a net change in charge of (2)(-6).
D: (-2)(6) = (-1)(2)(6) = (-1)(12) = -12
(2)(-6) = (2)(6)(-1) = (12)(-1) = -12
E: The products are the same: -12.
F: If the signs of the numbers are the same, the product is positive. If the signs of the numbers are different, the product is negative.
Ответ:
A)
The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).
B)
(-3)(-4) = (-1)(3)(-1)(4) = (-1)(-1)(3)(4) = 12
The net change in the charge for the group of atoms is 12 (or +12); that is, the charge of the atoms increases by 12.
C)
Adding two electrons to each of six atoms results in a net change in charge of (-2)(6). Removing two protons from each of six atoms results in a net change in charge of (2)(-6).
D)
(-2)(6) = (-1)(2)(6) = (-1)(12) = -12
(2)(-6) = (2)(6)(-1) = (12)(-1) = -12
E)
The products are the same: -12.
F)
If the signs of the numbers are the same, the product is positive. If the signs of the numbers are different, the product is negative.
solved it on edmentum <3
Ответ:
The measure of angle x° = 34°.
Step-by-step explanation:
It is given that a
We know that side of the triangle below has been extended to form an exterior angle of 146°.
It is clear that x° and 146° are adjacent angles.It is clear that x° and 146° lie on a straight line.We know that a straight line makes a straight angle of 180°.
Thus,
The sum of x° and 146° must be 180°.
x° + 146° = 180°
subtract 146° from both sides
x° + 146° - 146° = 180° - 146°
x° = 34°
Therefore, the measure of angle x° = 34°.