Answer:
See explanation
Step-by-step explanation:
Powers of 10 is a very useful way of writing down large or small numbers.
Instead of having lots of zeros, you show how many powers of 10 will make that many zeros.
When you work with small numbers, you should use the negative powers of 10. Just remember for negative powers of 10, move the decimal point to the left. For example,
![0.36=3.6\cdot 10^{-1}\ [\text{Move the decimal point one place to the left}]\\ \\0.036=3.6\times 10^{-2}\ [\text{Move the decimal point two places to the left}]\\ \\0.0036=3.6\times 10^{-3}\ [\text{Move the decimal point three places to the left}]\\ \\...](https://tex.z-dn.net/?f=0.36%3D3.6%5Ccdot%2010%5E%7B-1%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20one%20place%20to%20the%20left%7D%5D%5C%5C%20%5C%5C0.036%3D3.6%5Ctimes%2010%5E%7B-2%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20two%20places%20to%20the%20left%7D%5D%5C%5C%20%5C%5C0.0036%3D3.6%5Ctimes%2010%5E%7B-3%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20three%20places%20to%20the%20left%7D%5D%5C%5C%20%5C%5C...)
When comparing small numbers, write these numbers in scientific notation (only one non-xero digit must be before point) and then
- if the powers of 10 are the same in compared numbers are the same, just compare the numbers which are multiplied by these powers of 10. For example,
because powers are the same (-6) and 
- if the powers are different, then the smaller is power, the smaller is number (number with the smaller negative power has more places after decimal point). For example,
because 
Step-by-step explanation:
37x + 41y = 70 --- R¹
41x + 37y = 86 --- R²
R¹ + R² : 78x + 78y = 156
78(x + y) = 156
x + y = 2 --- R³
R¹ - R² : -4x + 4y = -16
4(y - x) = -16
y - x = -4 --- R⁴
R³ + R⁴ : 2y = -2
y = -1
R³ - R⁴ : -2x = -6
x = 3
Answer:
1.parenthesis, exponents, multiplication, division, addition, subtraction (pemdas is the Oder of operations)
2. please enjoy my dish and seafood
3.14
4. 4
5. 5
6. 7
7.25
Answer:
<4 = 126
<7 = 55
Step-by-step explanation:
Remark
There are only 2 answers to this question. <4 has one of them and <7 has the other one. <7 is acute. <2 is obtuse.
Givens
<2 = 55 degrees
Solution
<4 is the supplement of <2
Therefore <4 + <2 = 180 A straight line has an angle of 180°
<4 + 55 = 180
<4 = 180 - 55
<4 = 125
So <7 is either 55 or 125. Since <7 is acute, it is 55 degrees but we have another way of proving it.
<4 + <6 = 180 degrees Interior angles on the same side of the transversal are supplementary
125 + <6 = 180
<6 = 180 - 125
<6 = 55
<7 =<6 Vertically opposite angles are equal.
<7 = 55 degrees.
