Complete the area model. Find the product of 2.3 x 1.5

The product of 2.3 × 1.5 from the area model is 3.45

The product of two numbers implies the multiplication of the two numbers. Here, the two numbers to be multiplied together are decimal numbers.

Using the long multiplication method.

     2.3

×     1.5    

   1 1 5

+ 2 3      

  3 . 4 5  

So, what we did basically is to first multiply the two numbers normally and then, decide how many decimal places are the two numbers which two.

Therefore, the product of 2.3 × 1.5 from the area model is 3.45

Learn more about product of a number here:

link

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Step-by-step explanation:

An area model is used to show a representation of multiplication or division. A rectangle is divided into columns and rows to represent the numbers. The product of two numbers is similar to finding the area of a rectangle.

Area of a rectangle=length×width

Here is a multiplication problem involving two decimal numbers.

0.3×0.4

Let’s start by thinking of a decimal using a hundreds grid to represent the hundredths of a decimal.

0.3=0.30 or 30 hundredths 0.4=0.40 or 40 hundredths

Shade 30 squares green vertically because 30 hundredths is also 30 out of 100.Shade 40 squares yellow horizontally because 40 hundredths is also 40 out of 100. Combine the two numbers on the same hundreds grid to see what it would look like to multiply these two decimals together.

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c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

a ≈ 172.05

step-by-step explanation:

the pictures.