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.
He should start cooking at 15:00
First find how much you've had. Make the fractions with similar denominaters: 1/3(2)=2/6, 1/2(3)=3/6, 5/6(1)=5/6. Now add the fractions: 2/6+3/6+5/6=10/6 or 1 4/6 or 1 2/3. Then add the whole numbers: 10+15+20+1=46. So you've had 46 2/3 oz now subtract that from how much you need: 64-46 2/3= 63 3/3-46 2/3=17 1/3. You still need 17 1/3 water :)
Answer:
The correct option is four.
Step-by-step explanation:
The associative property implies that the values are added however we want, i.e. the numbers can be grouped in any way and the answer would still be the same.
The associative property of addition is:

The expression provided is:
(13 + 15 + 20) + (20 + 47 + 18)
The answer provided by four students are:
Jeremy : (20 + 13 + 15) + (20 + 47 + 18)
Layla : (20 + 47 + 18) + (13 + 15 + 20)
Keith : (13 + 20) + (20 + 47 + 18) + 15
Melinda : (13 + 15 + 20 + 20) + (47 + 18)
So, all the four students correctly applied only the associative property to rewrite the expression.
The correct option is four.
Answer:
The product results in:
, which agrees with answer A of the given choices.
Step-by-step explanation:
We need to apply distributive property for the product of two expressions each consisting of two terms, and also use the properties of products of radicals of the same root:

and now, we extract as many factors we can from the roots to reduce them:
