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qwelly [4]
2 years ago
15

Describe how to model 2-digit by 2-digit multiplication using an area model ANSWER NOW FOR 20 POINTS

Mathematics
2 answers:
Afina-wow [57]2 years ago
5 0
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Properties of Multiplication and Division and Problem Solving with Units of 2–5 and 10. Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10 Multi-Digit Whole Number and Decimal Fraction Operations.
11Alexandr11 [23.1K]2 years ago
4 0

Answer:

The steps are shown below:

Step-by-step explanation:

We can draw the area model for 2-digit by 2-digit multiplication by using the following steps:

Step 1: First write the multiplicands in expanded form.

For example: 26 as 20 and 6, and 36 as 30 and 6.

Step 2: Now, Draw a 2 × 2 grid, and write the terms of one of the multiplicands on the top of the grid. One on the top of each cell.

Step 3: Write the terms of the other multiplicand on the left of grid.

Step 4: Write the product of ones and tens in respective cell.

For example: 26×36

         <u>20        6</u>

30|    600    180

6 |    120      36

Now add them: 600+180+120+36=936

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The cost of a ticket to the circus is $19.00 for
DENIUS [597]

<u>Answer:</u>

The number of tickets bought is 1000 adults tickets and 700 children were present  

<u>Explanation:</u>

Let the number of children and adults present in the circus be x and y respectively

According to question,

Then, x + y = 1700  ……………..equation (1)

And, cost of ticket to circus for children and adult be 19, 42 respectively

Total cost of ticket;

for adults = 42y; for children = 19x

19x + 42y = 55300  …………………equation (2)

Multiplying equation (1) by 19

19x + 19y = 32300  ……………… eqn (3)

Subtracting equation 1 and 3, we get

23y = 23000

y = 1000

putting this value in eq (1), we get x = 700

Therefore, 1000 adults and 700 children were present .

5 0
2 years ago
Scott invests $1000 at a bank that offers 6% compounded annually.Write an equation to model the growth of the investment
gladu [14]

Answer:

Step-by-step explanation:

Using the formula for the growth of investment:

           .....[1]

where,

A is the amount after t year

P is the Principal

r is the growth rate in decimal

As per the statement:

Scott invests $1000 at a bank that offers 6% compounded annually.

⇒P = $1000 and r = 6% = 0.06

substitute these in [1] we get;

⇒

Therefore, an equation to model the growth of the investment is,

7 0
1 year ago
The probability that a student has a Visa card (event V) is .63. The probability that a student has a MasterCard (event M) is .1
Aleksandr-060686 [28]

Answer:

a)  The probability that a student has either a Visa card or a MasterCard is 0.71.  

b) V and M are not independent.

Step-by-step explanation:

Given : The probability that a student has a Visa card (event V) is 0.63. The probability that a student has a MasterCard (event M) is 0.11. The probability that a student has both cards is 0.03.

To find :

a) The probability that a student has either a Visa card or a MasterCard ?

b)  In this problem, are V and M independent ?

Solution :

The probability that a student has a visa card(event V) is P(V)= 0.63

The probability that a student has a MasterCard (event M) is P(M)= 0.11

The probability that a student has both cards  is P(V \cap M)=0.03

a) Probability that a student has either a Visa card or a Master Card is given by,

P(V \cup M) = P(V) + P(M) - P(V\cap M)

P(V \cup M) = 0.63+ 0.11- 0.03

P(V \cup M) =0.74- 0.03

P(V \cup M) =0.71

The probability that a student has either a Visa card or a MasterCard is 0.71.

b) Two events, A and B, are independent if P(A\cap B)=P(A)P(B)

For V and M to be independent the condition is satisfied,

P(V\cap M)=P(V)P(M)

Substitute the values,

0.03=0.63\times 0.11

0.03\neq 0.0693

So, V and M are not independent.

6 0
3 years ago
Evaluate the following: 18 + 3 16 - 251 - 11
VLD [36.1K]

Answer:

18+316−251−11

=72

Step-by-step explanation:

18+316−251−11

=334−251−11

=83−11

=72

3 0
2 years ago
Find the circumference of the circle if the square has an area of 144 m. Give your answer to the nearest tenth. Use 3.14 for pie
frez [133]
Answer:

The circumference is 42.54
4 0
3 years ago
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