Math  /  Numbers & Operations

QuestionMaria and Hoang's class started recycling. In 10 days, they had 11.6 pounds of recycling! How many pounds per day is that?
Solution 1.16 pounds per day
Here is a problem and its solution. Explain how to go from the problem to the solution. Be as detailed as possible. Use the sketch tool if it helps you show your thinking.

Studdy Solution

STEP 1

What is this asking? How many pounds of recycling did Maria and Hoang's class collect *on average* each day? Watch out! Don't mix up the total pounds of recycling with the pounds *per* day.
We're looking for the average amount *each* day!

STEP 2

1. Set up the Calculation
2. Calculate the Result

STEP 3

Alright class, let's **divide** the *total* weight of recycling by the *number* of days to find the average weight per day.
This is like sharing the recycling equally among the days!
It's super important to understand *why* we're dividing.
We want to find out how much recycling was collected *on average* each day.

STEP 4

We have a **total** of 11.611.6 pounds of recycling.

STEP 5

And they collected this over 10\textbf{10} days.

STEP 6

So, our calculation will be 11.610\frac{11.6}{10}.
This fraction represents the total recycling divided by the number of days.

STEP 7

Now, let's actually **do** the division!
Remember, dividing by 1010 is like moving the decimal point *one* place to the left.
Why? Because our number system is based on powers of ten!
Moving the decimal one place to the left is the same as dividing by 10110^1, which is just 1010.

STEP 8

So, 11.611.6 becomes 1.16\textbf{1.16}.

STEP 9

Therefore, 11.610=1.16\frac{11.6}{10} = 1.16.

STEP 10

Maria and Hoang's class collected an average of 1.16\textbf{1.16} pounds of recycling per day.
Boom!

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