Question
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?
Answers
Reiny
"place-value reasoning" ?
In my days we called it division, that is
amount in each bag = 5.5/50 = .11 kg or 110 grams
In my days we called it division, that is
amount in each bag = 5.5/50 = .11 kg or 110 grams
Graham
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
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
yes
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Sophia
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