Make up an example in which it is more convenient to divie first. Make another in which it is more convenient to multiply first. Why is it more convenient to multiply first in your second example?
1) 24*14/7
2) 2*5/10
THANK YOU!!
Sure! Let's start with an example where it's more convenient to divide first:
Example: Calculate the total cost of buying 3 packs of cookies, where each pack costs $6.
To solve this problem, we can divide the total cost by the number of packs:
Total cost = Cost per pack ÷ Number of packs
Total cost = $6 ÷ 3
Total cost = $2
In this example, it's more convenient to divide first because we want to find the cost per pack and we know the total cost and the number of packs.
Now, let's move on to an example where it's more convenient to multiply first:
Example: Calculate the area of a rectangle with a length of 5 meters and a width of 12 meters.
To solve this problem, we can multiply the length by the width:
Area = Length × Width
Area = 5 meters × 12 meters
Area = 60 square meters
In this example, it's more convenient to multiply first because we want to find the area, which is calculated by multiplying the length and the width. Dividing in this case wouldn't make sense because we're not looking for a ratio or division of quantities.
The reason why it's more convenient to multiply first in this example is that multiplication is directly related to finding the area of a rectangle. In general, multiplication is a more natural operation when dealing with quantities that are related by scaling or combining.