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2 years ago

5

Describe how to model 2 digit by 2 digit multiplication using an area model

1 answer:

gtnhenbr [62]2 years ago

7 0

Multiply<span> a whole number of up to four </span>digits<span> by a one-</span>digit<span> whole number, and </span>multiply two two-digit<span> numbers, </span>using strategies based on place value and the properties of operations. Illustrate and explain<span> the calculation by </span>using<span> equations, rectangular arrays, and/or </span>area models<span>. hope that helped</span>

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the graph shows the first five terms in a geometric sequence what is the iterative rule for the sequence

algol [13]

The iterative rule for the sequence is a_n = 8 · ( 0.5 )ⁿ ⁻ ¹

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

<u>Given:</u>

a₁ = 8

a₂ = 4

a₃ = 2

a₄ = 1

<u>Solution:</u>

<em>Firstly , we find the ratio by following formula:</em>

$r = a_2 \div a_1 = 4 \div 8 = 0.5$

$\texttt{ }$

<em>The iterative rule for the sequence:</em>

$a_n = a_1 \cdot~ r^{n-1}$

$a_n = 8 \cdot~ (0.5)^{n-1}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

6 0

2 years ago

PLEASE HELP<br> -7y = -91 <br> What does y equal

rusak2 [61]

Answer: I think i got it because -7y/-7 = -91/-7 equals 13 so y = 13

Step-by-step explanation:

4 0

2 years ago

Simplify 3x⁵y³ ÷2y² step by step

seropon [69]

Answer:

3/2 x^5 y

Step-by-step explanation:

3x^5y^3

----------------

2y^2

Simplify the y terms

y^3 / y^2 = y^(3-2) = y

3/2 x^5 y

8 0

2 years ago

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How many attemps you get everyday . what is the limit. its telling me you are out of answer for now

Katen [24]

Answer:im pretty sure its 2 then you can watch an ad for another answer

Step-by-step explanation:

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1 year ago

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Peter's dog eats 0.3 kilograms of dog food each day. How much dog food will Peter's dog eat

11111nata11111 [884]

All you have to do is multiply 0.3 by 8.

8×0.3=2.4

The dog will eat 2.4 kilograms of food in 8 days. Hope that helps!

8 0

2 years ago

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