Kendra has 5.5 pounds of popcorn and wants to package it equally in 50 bags. How can she use place-value reasoning to find the amount of popcorn to put in each bag?
So, she has 5.5 pounds and wants to split it into 50 bags.
This is a division problem. She wants to divide 5.5 pound into 50 bag:
5.5 / 50
Since this is a fraction as well, she could divide both 5.5 and 50 by 5 (same thing as multiplying by (1/5)/(1/5) or 1):
(5.5 / 5) / (50 / 5)
1.1 / 10
As far as "place-value reasoning" goes, she could realize that dividing by 10 is the same thing as moving the decimal place to the left, so:
1.1 / 10
.11
"place-value reasoning" ?
In my days we called it division, that is
amount in each bag = 5.5/50 = .11 kg or 110 grams
yuhh
To use place-value reasoning to find the amount of popcorn Kendra should put in each bag, we can follow these steps:
Step 1: Understand the problem.
Kendra has 5.5 pounds of popcorn and she wants to package it equally in 50 bags.
Step 2: Convert pounds to a decimal number.
In this case, we have 5.5 pounds of popcorn. Since there are 16 ounces in a pound, and we need to convert it to a decimal number, we can multiply 5.5 by 16 to get the number of ounces. The calculation will be: 5.5 x 16 = 88 ounces.
Step 3: Divide the total number of ounces by the number of bags.
Since Kendra wants to distribute the popcorn equally in 50 bags, we divide the total number of ounces (88) by the number of bags (50). The calculation will be: 88 ÷ 50 = 1.76 ounces.
Step 4: Convert the decimal number back to pounds and ounces (if necessary).
In this case, the result is in ounces, so we can convert it back to pounds by dividing by 16. Since there are 16 ounces in a pound, we divide 1.76 by 16 to get the amount of popcorn in pounds. The calculation will be: 1.76 ÷ 16 = 0.11 pounds.
Therefore, based on place-value reasoning, Kendra should put approximately 0.11 pounds (or 1.76 ounces) of popcorn in each bag in order to distribute it equally among the 50 bags.