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

1 answer:

7 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. hope that helped

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-13 times the difference between a number and 60 is equal to the number plus -59

kipiarov [429]

Let n represent the number.
-13×(n -60) = n +(-59)
-13n +780 = n -59
839 = 14n
839/14 = n = 59 13/14

The number is 59 13/14.

_____
Check
The difference between the number and 60 is
59 13/14 -60 = -1/14
-13 times that value is
-13*(-1/14) = 13/14
Compare that to the number plus -59
59 13/14 -59 = 13/14 . . . . . the same value, as required.

8 0

3 years ago

Marisol is painting on a canvas that has an area of 180 square inches. The length of the painting is 11/4 times the width. What

Alona [7]

Notice the picture below, see the length "l"?

well $\bf Area=l\times w\qquad 
\begin{cases}
l=\frac{11}{4}w\\
Area=180
\end{cases}\\\\
-----------------------------\\\\
thus
\\\\
180=\cfrac{11}{4}w\times w$

solve for "w", to find the width,

what's the length? well, l = 11/4 w