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# Multiply Decimals

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Learn how to multiply decimals.

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### Multiply Decimals

1. 1. Multiply Decimals Mrs. Young EMC 1
2. 2. Remember… <ul><li>When you multiplied decimals and whole numbers, you didn’t need to worry about decimal placement until the end of answering the problem! </li></ul>
3. 3. Step 1: Multiply 1.2 x 5.3 --- you don’t need to line up the decimal or place values! <ul><ul><ul><ul><ul><li>1.2 </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>5.3 </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><li>Reminder: We always multiply from right to left. </li></ul></ul></ul></ul> (3 x 2 = 6 ) We right down the unit, In this case 6 , Under the 3 6
4. 4. Step 2: Step 2: <ul><ul><ul><ul><ul><li>1.2 </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>5.3 </li></ul></ul></ul></ul></ul>6 3 <ul><ul><ul><ul><li>We then multiply the 3 by the 1 </li></ul></ul></ul></ul>(3 x 1 = 3) Write down the 3 next the 6
5. 5. Step 3: <ul><ul><ul><ul><ul><li>1.2 </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>5.3 </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><li>Now we start multiplying with the 5 </li></ul></ul></ul></ul>3 6 Before we begin multiplying we must first place a in the units column 0 We multiply the 5 by the 2 (5 x 2 = 10 ) Again, we right down the unit and carry the tens 0 0 1
6. 6. Step 4: <ul><ul><ul><ul><ul><li>1.2 </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>5.3 </li></ul></ul></ul></ul></ul>3 6 We multiply the 5 by the 1 (5 x 1 (+1) = 6 ) Again, we add the 1 carried earlier 0 0 1 6
7. 7. Step 5: <ul><ul><ul><ul><ul><li>1.2 </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>5.3 </li></ul></ul></ul></ul></ul>3 6 0 6 0 Now, we must add the numbers together + 6 3 6
8. 8. Step 6: <ul><li>Finally, we need to add the decimal point to our answer. </li></ul>1.2 5.3 6 3 6 For correct decimal placement in your answer, you count how many numbers are to the right of the decimal in the actual problem. 1 1 (1 + 1 = 2) There will be two digits after the decimal point in the answer. Start at the right of the answer and move left that many spaces. .