First, let me do the Mathematical part of that, and then I shall explain the theory behind it.
Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.
Multiply 513 with 6 first.
513
x46
--------------------------
18 (as 6*3 = 18)
60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)
Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.
Check: If we check the multiplication result by using the calculator, we would get the same result (23598).
Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
The perimeter of △CDE is 9.66 units
<h3>Perimeter of a triangle</h3>
The perimeter of a triangle is the sum of the sides of the triangle.
Given the coordinate points C(4, -1), D(4, −5), and E(2, −3)
Determine the distance CD, CE and DE using the distance formula
CD = √(-5+1)²+(4-4)²
CD = √16+0
CD = √16
CD = 4units
CE = √(-3+1)²+(2-4)²
CE = √4+4
CE = 2.83 units
DE= √(-3+5)²+(2-4)²
DE = √8
DE = 2.83 units
Take the sum
Perimeter of triangle CDE = 4 + 2.83 + 2.83
Perimeter of triangle CDE = 9.66 units
Hence the perimeter of △CDE is 9.66 units
Learn more on perimeter of triangle here: brainly.com/question/24382052
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Answer:
$39.20
Step-by-step explanation:
Since she purchased a $49 gift and uses a coupon that offers 20% off, multiply the cost by 80% (0.8)
49(0.8)=39.2
Marie will spend $39.20 on the gift after using the coupon.