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Divide:
| Determine the sign of the quotient. | The quotient will be negative. |
| Make the divisor the whole number by 'moving' the decimal point all the way to the right. 'Move' the decimal point in the dividend the same number of places to the right. |
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| Divide. Place the decimal point in the quotient above the decimal point in the dividend. Add zeros as needed until the remainder is zero. |
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| Write the quotient with the appropriate sign. |
Divide:
| The signs are the same. | The quotient is positive. |
| Make the divisor a whole number by 'moving' the decimal point all the way to the right.
'Move' the decimal point in the dividend the same number of places. |
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| Divide.
Place the decimal point in the quotient above the decimal point in the dividend. |
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| Write the quotient with the appropriate sign. |
Now we will divide a whole number by a decimal number.
Divide:
| The signs are the same. | The quotient is positive. |
| Make the divisor a whole number by 'moving' the decimal point all the way to the right.
Move the decimal point in the dividend the same number of places, adding zeros as needed. |
 |
| Divide.
Place the decimal point in the quotient above the decimal point in the dividend. |
 |
| Write the quotient with the appropriate sign. |
We can relate this example to money. How many nickels are there in four dollars? Because there are nickels in
We often apply decimals in real life, and most of the applications involving money. The Strategy for Applications we used in The Language of Algebra gives us a plan to follow to help find the answer. Take a moment to review that strategy now.
Paul received for his birthday. He spent on a video game. How much of Paul’s birthday money was left?
| What are you asked to find? | How much did Paul have left? |
| Write a phrase. | $50 less $31.64 |
| Translate. | |
| Simplify. | 18.36 |
| Write a sentence. | Paul has $18.36 left. |
Nicole earned for babysitting her cousins, then went to the bookstore and spent on books and coffee. How much of her babysitting money was left?
$16.52
Amber bought a pair of shoes for and a purse for The sales tax was How much did Amber spend?
$65.97
Jessie put gallons of gas in her car. One gallon of gas costs How much does Jessie owe for the gas? (Round the answer to the nearest cent.)
| What are you asked to find? | How much did Jessie owe for all the gas? |
| Write a phrase. | 8 times the cost of one gallon of gas |
| Translate. | |
| Simplify. | $28.232 |
| Round to the nearest cent. | $28.23 |
| Write a sentence. | Jessie owes $28.23 for her gas purchase. |
Hector put gallons of gas into his car. One gallon of gas costs How much did Hector owe for the gas. Round to the nearest cent.
$41.28
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