Examples with solutions for Multiplying and Dividing Decimal Fractions by 10, 100, etc.: Worded problems

Exercise #1

A packet of potato chips costs half a dollar. A teacher buys enough packets for 10 students to have one each. How much does she pay in total?

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Apply the appropriate formula
  • Step 3: Perform the necessary calculations

Now, let's work through each step:
Step 1: The problem gives us:
    Cost per packet of potato chips is 0.500.50 dollars.
    Number of packets = Number of students = 10.
Step 2: We'll use the formula:
    Total Cost=Cost per packet×Number of packets \text{Total Cost} = \text{Cost per packet} \times \text{Number of packets}
Step 3: Plugging in our values, we get:
    Total Cost=0.50×10=5.00 \text{Total Cost} = 0.50 \times 10 = 5.00

Therefore, the solution to the problem is 5 5 dollars.

Answer

\( 5

Exercise #2

A packet of potato chips costs half a dollar. A teacher buys enough packets for 100 students to have one each. How much did she pay in total?

Step-by-Step Solution

To solve this problem, we need to calculate the total cost paid by the teacher for the packets of potato chips. Here's how we approach it:

  • Step 1: Identify the given information:
    • Each packet costs 0.50.5 dollars.
    • There are 100 packets required.
  • Step 2: Determine the total cost:

We use the formula for total cost:

Total Cost=Cost per Packet×Number of Packets \text{Total Cost} = \text{Cost per Packet} \times \text{Number of Packets}

Substitute the given values into the formula:

Total Cost=0.5×100 \text{Total Cost} = 0.5 \times 100

Perform the calculation:

Total Cost=50 \text{Total Cost} = 50

Therefore, the teacher paid a total of 50 50 dollars for all the packets of potato chips.

Answer

\( 50

Exercise #3

A package of potato chips costs a dollar and a half. A teacher bought enough packs for 100 students to have one each. How much did she pay in total?

Step-by-Step Solution

To solve this problem, we'll use straightforward multiplication:

  • Step 1: Determine the cost per pack, which is 1.51.5 dollars.
  • Step 2: Determine the number of packs needed, which equals the number of students: 100100.
  • Step 3: Multiply the cost per pack by the number of packs:

Total Cost=1.5×100 \text{Total Cost} = 1.5 \times 100

Total Cost=150 \text{Total Cost} = 150 dollars

Therefore, the total amount paid by the teacher is 150 150 dollars.

Answer

150 150 $

Exercise #4

A pack of potato chips costs a dollar and a half. A teacher buys enough packs for 10 students to have one pack each. How much did she pay in total?

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information: cost per pack and number of packs.
  • Step 2: Apply the multiplication formula to find the total cost.
  • Step 3: Perform the necessary calculations to find the total amount paid.

Now, let's work through each step:

Step 1: The problem gives us the cost per pack is \1.50 \) and the number of packs is 10 10 .

Step 2: We'll use the formula: Total Cost = (Cost per Pack) ×\times (Number of Packs)

Step 3: Plugging in our values, we get: Total Cost = 1.50×10=15.00 1.50 \times 10 = 15.00

Therefore, the teacher paid a total of \15\).

Answer

\( 15

Exercise #5

Sonia distributes 5.5 kilograms of apples among 10 people equally.

How many kg of apples does each person receive?

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Understand the division required
  • Step 2: Perform the division calculation
  • Step 3: Compare with provided multiple-choice answers

Now, let's work through each step:

Step 1: Understand the division required
We are given 5.5 kg of apples that need to be distributed equally among 10 people. This means we need to divide the total apple weight by the number of people to find out how much each person receives.

Step 2: Perform the division calculation
We calculate how much each person receives by dividing 5.5 kg by 10:
5.510=0.55 \frac{5.5}{10} = 0.55
When dividing a number by 10, you effectively move the decimal point one position to the left.

Step 3: Compare with provided multiple-choice answers
The result of our division is 0.55 kg, which corresponds to choice 2.

Therefore, the solution to the problem is 0.55 0.55 kg, and each person receives this amount of apples.

Answer

0.55 0.55 kg

Exercise #6

$500.9 is distributed equally among 100 people.

How much does each person receive?

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Apply the appropriate formula
  • Step 3: Perform the necessary calculations

Now, let's work through each step:
Step 1: We have a total amount of 500.9 to be distributed among 100 people.
Step 2: To find out how much each person receives, we need to divide the total amount by the number of people: \( 500.9 \div 100 .
Step 3: Perform the division:
To divide 500.9 500.9 by 100 100 , we can move the decimal point in 500.9 500.9 two places to the left (because 100 has two zeros). This means 500.95.009 500.9 \rightarrow 5.009 .

Therefore, each person receives \5.009 \).

Answer

\( 5.009

Exercise #7

I have $30.9 and divide it equally among 10 people.

How much does each person receive?

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Convert the monetary amount, if necessary
  • Step 3: Perform the division

Now, let's work through each step:
Step 1: The total amount to be divided is 30.9,andthereare10peopletosharethisamountequally.<br>Step2:Theamountisgiveninitsdecimalform,soitisreadyfordivision.<br>Step3:Tofindtheamounteachpersonreceives,divide30.9, and there are 10 people to share this amount equally.<br> Step 2: The amount is given in its decimal form, so it is ready for division.<br> Step 3: To find the amount each person receives, divide 30.9 by 10:

30.9÷10=3.09 30.9 \div 10 = 3.09

Therefore, each person will receive 3.09 3.09 dollars.

The correct choice from the provided options is: Choice 3, which is 3.09 3.09 . This choice is correct as it matches our calculated result.

Answer

\( 3.09