Why distributive property of multiplication over addition is used repeatedly throughout algebra?

Q: Simplify : (24 * 103) / (2 * 106) (Express the answer in scientific notation).

A: Given data:     The given expression is: (24*103)/(2*106)   Evaluate the given expression.

Q: Use the definition of multiplication, as we have described it, to explain why you can solve the…

A: Given there are 4 quarts in a gallon. How many quarts does a 5 gallon bucket hold? 4quarts in 1…

Q: The statement a(b + c) = ab + ac represents the ________ property of multiplication over addition.

A: Distributive PropertyThe Distributive Property is an algebra property which is used to multiply a…

Q: Simplify. Express your answer as a single term, without a denominator. a1.a°

A: Given:   a-1.a0  We need to express answer as a single term, without denominator. We know that,…

Q: 1 - 12

A: Given               2+j34-j2=

Q: What is it called when we combine terms that have the same variable and exponen

A: to solve the given problem

Q: To write 2+5 in its simplest form, the first step is to multiply both the numerator and denominator…

A: answer first step is to multiply with conjugate  its true

Q: 2. The population of Bloomington is 2.4 x 106 while the population of Smallville is 12,000. How many…

A:

Q: How would I write 3,022 and 18,741 in Babylonian notation?? Could you please explain step by step…

A: Consider the number, 3022 To convert in Babylonian notation, 3022=50×601+22×600 So the Babylonian…

Q: When combining like terms, you will need to add or subtract coefficients and exponents. O True O…

A:

Q: The scientific notation of the number 0.0023 is 2.3×10-3 صواب خطأ

A:

Q: First, change all substractions into add the opposite, then perform the calculations. (a).   44.9 +…

A:

Q: use the associative property of multiplication to find an easy way to mentally calculate 16X25.…

A: Associative property is A×(B×C)=(A×B)×C

Q: Joaquin drove from Newark, NJ, to New Brunswick during rush hour at an average speed of 3030miles…

A:

Q: write the arthematic sequance 2 4 6 8 10... in its standard form.

A:

Q: A student used a calculator to divide a number by 3' when instead the student meant to multiply the…

A: A student used a calculator to divide a number by 1/3 when instead the student meant to multiply a…

Q: What is meant by Additive inverse property in algebra?

A:

Q: Is there a commutative property of subtraction? In other words, does order matter when subtracting?…

A: No, the commutative property does not work for subtraction  For example:  5 - 2 = 3  But , 2 - 5 =…

Q: Write the property of multiplication for each.  -12 x 1 = - 12 -5 x (9x7) = (-5x9) x 7

A:

Q: Where would radicals come in the order of operations?explain

A: Consider the expression contains the radical  Any radical can be converted into an exponent   Order…

Q: Explain the difference between the commutative property of addition and the associative property of…

A: Commutative property of addition: Commutative property of addition states that if we add numbers in…

Q: 31. Simplify 22-10x-24 16x+8x? x . 922 12- O -922 -9 8x 8x O -9x 8 9x2 8x

A: Simplify

Q: State a commutative property and give an example of how it is used to write equivalent algebraic…

A: We have the given statement as   State commutative property with example   We know that…

Q: Why is (-5)^2= -5 x -5 = 25 but -5^2 = -5 x 5 = -25. How does the parenthesis make a difference in…

A: Make it a thumb rule regarding this that if there is no parenthesis, then the negative part has to…

Q: What does it mean to say that algebra is a written language? How would I express an algebraic…

A: To explain the connection (in algebra) between the written and symbolic language

Q: if x and y are the tens digit and the units digit of the product 725,278 x 67,066 what is the value…

A: x+y=12

Q: Exponentiation can be understood as repeated multiplication. That means 37 can be interpreted as…

A: 37 can be interpreted as multiplying 3 repeatedly 7 times.

Q: Use radical notation to rewrite each expression and simplify: 3 3 а. 1000- b. 162 c. -325

A: To simplify: a)100023 100023 On simplifying further we get: 100023=(1000)23 =(103)23…

Q: Maurice had 4 dogs that he split among d familes. So, how would I write this as an expression?

A:

Q: rationalize the numerator in √r + √2 / 5

A: To rationalize the numerator we will multiply by the conjugate.  r+25=r+2r-25r-2=r2-225r-2=r-25r-2

Q: Multiply (x2-y?)(x² +y?) using the distributive property and combine like terms. Generalize the…

A: The distributive property of multiplication over addition is as follows         a x (b + c) = (a x…

Q: Why must I use a dot instead of an × for multiplication in algebra?

A:

Q: Perform the operations and, if possible, simplify. 7 15 /- /-

A: Given,        715+15-49

Q: What are opposites, or additive inverses? What happens when finding the sum of a number and its…

A: The inverse property of addition states that adding a number and it's opposite, called the additive…

Q: Example 2: Simplify using the Distributive Property. (3x – 5)(x² +2x + 1) |

A:

Q: Explain why 1 is called the identity element for multiplication

A: Identity Element- Let * be any mathematical an operation ( such as addition or multiplication) on…

Q: I need to know how to evaluate an algebra expression on the TI 30xs calculator

A: Consider the algebraic expression to be evaluated is 83.

Q: The average of two numbers is 42.25, and their product is 1647. What are the numbers? Enter them…

A: Here we have to find two numbers where average is 42.25 and product is 1647

Q: In//x2 + 1 | 1 In]x² + 1| 2

A: Concept: We can use property of logarithm : ln(m) n  =  n. ln(m)  We can convert given expression…

Q: The amounts of plastic waste generated in a region during two years were 32,400,000 tons and…

A: Amount of plastic waste generated during two year  were 32,400,000 and 20,300,000  To find total…

Q: When multiplying signed numbers count the number of negative signs.  If there are and odd number of…

A: Given : If there are an odd number of negative signs, the product is positive.

Q: 11) Simplify the expressions by performing the operations and combining like terms. (2x+ 3)(4x-2)

A:

Q: When multiplying signed numbers if there is an odd number of negative signs, the product is…

A: When multiplying signed numbers if there is an odd number of negative signs, the product is…

Q: Marita knows that written as a decimal is 0.20. 1 a. How can she find the decimal form of without…

A: Topic-simplification

Q: How do you add and subtract reational expressions?

A: Procedure to add or subtract the rational expressions with unlike fractions:In order to add or…

Q: Who invented the basic mathematical operations (addition, subtraction, multiplication, and…

A:

Q: Simplify by rationalizing the numerator of the expression. Vy 3

A: x+y3

Q: Evaluate the expression x 6 ÷ x 8 7 4 + ÷ 4 1 3 in prefix notation. -

A: The objective is to evaluate the expression un prefix notation - × 6 ÷ × 8 7 4 + ÷ 4 1 3

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.