Decimal fractions - Lesson 1
mathematics·@apteacher·
0.000 HBDDecimal fractions - Lesson 1
<html> <h1>Introduction to decimal fractions:</h1> <h1><img src="https://imgoat.com/uploads/2cc227532d/91760.png" width="348" height="243"/></h1> <p><a href="https://savedyouaspot.files.wordpress.com/2016/02/fractions.jpg">Source</a></p> <h3>Decimal fraction:</h3> <blockquote>A fraction where the denominator (the bottom number) is a power of ten (such as 10, 100, 1000, etc).<br> You can write decimal fractions with a decimal point (and no denominator), which make it easier to do calculations like addition and multiplication on fractions</blockquote> <p><a href="https://www.google.co.za/url?sa=t&rct=j&q=&esrc=s&source=web&cd=2&ved=0ahUKEwi5s5aMv9nZAhXiLsAKHaGuCa4QFgg1MAE&url=https%3A%2F%2Fwww.mathsisfun.com%2Fdefinitions%2Fdecimal-fraction.html&usg=AOvVaw0vYbYtZnH7HRQEFgJEvc1i">Source</a></p> <p><br></p> <h1>Place value and value of a digit:</h1> <p>There is a big difference between the place value and the value of a number. Learners get confused between the two.</p> <p><br></p> <p> <img src="https://imgoat.com/uploads/2cc227532d/91727.png" width="686" height="170"/></p> <h2>Using the example above:</h2> <h3>The place value of:</h3> <ul> <li>9 is Ten thousands</li> <li>5 is Thousands</li> <li>3 is Hundreds</li> <li>7 is Tens</li> <li>8 is Units</li> <li>1 is tenths</li> <li>4 is hundredths</li> <li>2 is thousandths</li> </ul> <h3>Place value is at which place the number is at.</h3> <h2>The value of the:</h2> <ul> <li>9 is 90 000 or 9 Tth</li> <li>5 is 5000 or 5 Th</li> <li>3 is 300 or 3 H</li> <li>7 is 70 or 7 T</li> <li>8 is 8 or 8 U</li> <li>1 is 1/10 or 0,01</li> <li>4 is 4/100 or 0,04</li> <li>2 is 2/1000 or 0,001 </li> </ul> <h3>The value of a digit is how much it is.</h3> <p><br></p> <h3>Let your learners do the following:</h3> <p><strong>Write down the place value and the value of the digit in color as a decimal fraction:</strong></p> <p><img src="https://imgoat.com/uploads/2cc227532d/91728.png" width="164" height="65"/> </p> <p>The<strong> place value</strong> of the digit is thousandths</p> <p>The <strong>value</strong> of the digit is 0,002</p> <p><br></p> <p><img src="https://imgoat.com/uploads/2cc227532d/91736.png" width="128" height="53"/></p> <p><strong>Place value</strong> of the digit is tenths</p> <p><strong>Value</strong> of the digit is 0,6</p> <p><br></p> <p><img src="https://imgoat.com/uploads/2cc227532d/91737.png" width="196" height="59"/></p> <p><strong>Place value</strong> of the digit is tenths</p> <p><strong>Value</strong> of the digit is 0,04</p> <p><br></p> <h3>Writing a fraction as a decimal number:</h3> <p>When writing a fraction as a decimal number, always change your denominator to <strong>10,100,1000 </strong>. Remember, when you multiply with a number at the bottom, you have to multiply with the same number at the top too!!</p> <p><br></p> <p><br></p> <p><img src="https://imgoat.com/uploads/2cc227532d/91740.png" width="248" height="101"/> </p> <ul> <li>In this example, the denominator can change to 10.</li> <li>We multiply with 2 at the top and bottom</li> <li>The answer is now over a fraction part of 10 and as a decimal it will be 6 tenths.</li> <li>Written as a decimal fraction it will be 0,6</li> <li>Teach your learners that if the fraction is over 10, 10 has one zero, so this means 1 place behind (on the right) of the comma.</li> <li>There are no wholes in front of the fraction, so the whole will be 0.</li> <li>Only the fraction will be written as a decimal.</li> </ul> <p><br></p> <p><img src="https://imgoat.com/uploads/2cc227532d/91741.png" width="358" height="109"/></p> <ul> <li>This denominator can not change to 10 or 100 but to 1000.</li> <li>We multiply with 125 at the top and at the bottom.</li> <li>Here are no wholes in this fraction, which means only the fraction will be written as a decimal.</li> <li>1000 has 3 zero's. This means that there must be three numbers behind the comma.</li> <li>Written as a decimal fraction, this answer will be 0,875</li> </ul> <p><br></p> <p>Taking the next 2 examples, let's look at the difference between the two:</p> <p><img src="https://imgoat.com/uploads/2cc227532d/91742.png" width="280" height="86"/> <img src="https://imgoat.com/uploads/2cc227532d/91743.png" width="374" height="85"/></p> <p>For the example on the left, the denominator changes to 100. We multiply with 25 at the top and bottom to get our answer. The fraction is over 100, which have two zero's. This means that we have two places behind the comma. Written as a decimal it will be 0,75.</p> <p><br></p> <p>The second example can also be taken to 100. The difference here is that there is a whole in front of the fraction. In the example you will see that we leave the whole as it is, we only change the fraction. The denominator can change to 100, we multiply with 2 at the top and bottom to get our answer. The fraction is over 100, which means that there are 2 zero's and that we have two places behind the comma. </p> <p><br></p> <p>A common mistake learners make, is that they write the decimal fraction as 0,60. There are 2 places behind the comma, but learners have to go back and see that the fraction they wrote is 60 and not 6.</p> <p>The correct answer for this decimal fraction will be 1,06 as 06 must be the two places behind the comma and the 1 in front of the comma is the whole.</p> <p><br></p> <h1>Conclusion</h1> <ul> <li>Learners have to know the difference between the value and place value of digits.</li> <li>Practice these decimal fractions as much as you can. </li> <li>This is just the introduction to decimal fractions, teach your learners these basics of decimal fractions before we go on to the next lesson.</li> </ul> <p><img src="https://imgoat.com/uploads/2cc227532d/91759.gif" width="562" height="141"/></p> </html>
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