sanuluy

2020-11-23

1. Explain with numerical examples what Real Numbers and Algebraic Expressions are.
2. Explain with numerical examples Factoring and finding LCMs (least common multiples). Explain factoring of a larger number.
3. Explain with numerical examples arithmetical operations (addition, subtraction, multiplication, division) with fractions
4, Explain with numerical examples arithmetical operations (addition, subtraction, multiplication, division) with percentages
5. Explain with numerical examples exponential notation
6. Explain with numerical examples order (precedence) of arithmetic operations
7. Explain with numerical examples the concept and how to find perimeter, area, volume, and circumference (use related formulas)

2k1enyvp

Skilled2020-11-24Added 94 answers

Step 1
(As per bartleby guidelines, for multiple questions asked, only one question is to be solved. Please upload other parts separately.)
1.
REAL NUMBERS
It is defined as the set of all numbers which can be plotted on a real number line.
Its counterpart is referred as imaginary numbers.
Examples: Whether it is a whole number like $4,\text{}\text{a negative integer like}\text{}-2,\text{}\text{a rational number like}\text{}32,\text{}\text{a negative rational number like}\text{}-43,\text{}\text{or an irrational number like}\text{}5\text{}-\text{}\sqrt{},$ all can be easily plotted on a number line, therefore these all fall under the category of real numbers.
Step 2
ALGEBRAIC EXPRESSIONS
An Algebraic expression is defined as a mathematical term consisting of variables, constants, and arithmetic operators such as addition, subtraction, multiplication, division, exponents, etc.
The unknowns used in the expression are called as variables.
Examples: It can be as simple as $2\text{}x\text{}+\text{}3\text{}y\text{}+\text{}5,\text{}x\text{}-\text{}1,\text{}\frac{1}{x},\text{and it can be a bit complex as}\text{}\sqrt[3]{(2x\text{}+\text{}1{)}^{10}\text{}-\text{}\mathrm{log}(x)\text{}+\text{}\mathrm{sin}({x}^{3})}$
Consider the expression $5{x}^{3}\text{}+\text{}4y\text{}+\text{}2$
Here, x and y are the variables.
$5,\text{}3,\text{}4,\text{}2,\text{}\text{are the constanr which have a difinite value.}$

$5\text{}\text{is called the coefficient of}\text{}{x}^{3},\text{}and\text{}4\text{}\text{is the coefficient of y.}$

$3,\text{}\text{even after being a constant, is the exponent of x.}$

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

Which operation could we perform in order to find the number of milliseconds in a year??

$60\cdot 60\cdot 24\cdot 7\cdot 365$ $1000\cdot 60\cdot 60\cdot 24\cdot 365$ $24\cdot 60\cdot 100\cdot 7\cdot 52$ $1000\cdot 60\cdot 24\cdot 7\cdot 52?$ Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas

Is the number 7356 divisible by 12? Also find the remainder.

A) No

B) 0

C) Yes

D) 6What is a positive integer?

Determine the value of k if the remainder is 3 given $({x}^{3}+k{x}^{2}+x+5)\xf7(x+2)$

Is $41$ a prime number?

What is the square root of $98$?

Is the sum of two prime numbers is always even?

149600000000 is equal to

A)$1.496\times {10}^{11}$

B)$1.496\times {10}^{10}$

C)$1.496\times {10}^{12}$

D)$1.496\times {10}^{8}$Find the value of$\mathrm{log}1$ to the base $3$ ?

What is the square root of 3 divided by 2 .

write $\sqrt[5]{{\left(7x\right)}^{4}}$ as an equivalent expression using a fractional exponent.

simplify $\sqrt{125n}$

What is the square root of $\frac{144}{169}$