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<h1 align="center">Estimation Tips and Tricks</h1>
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<p><a href="estimation.html">Estimation</a> is finding a number that is <b>close enough</b> to the right answer.</p>
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<ul>
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<div class="bigul">
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<li>You are <b>not</b> trying to get the <b>exact</b> right answer</li>
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<li>What you want is something that is <b>good enough</b> (usually in a hurry!)</li>
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</div>
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</ul><p> </p>
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<div class="example">
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<p style="float:left; margin: 0 10px 5px 0;"><img src="images/magazines.jpg" width="148" height="86" alt="magazines" /></p>
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<p>Example: you want to buy five magazines that cost $1.95 each. When you go to buy them the cost is $12.25. Is that right?</p>
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<p align="center"><i> "five lots of $1.95 is about 5 times 2, or about $10" </i></p>
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<p>so $12.25 seems too much!</p>
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<p>Ask to have the total checked.<br />
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</p>
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</div>
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<p> </p>
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<div class="center80">
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<p align="center" class="larger">Estimation helps with your Confidence, Judgement and Decisions!</p>
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</div>
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<h2>How to Estimate</h2>
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<p>Before doing the actual calculation you should think:</p>
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<p align="center" class="large"><i>"how do I go about making this estimate?"</i></p>
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<p>Because <b>different numbers need different methods</b>:</p>
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<div class="example">
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<p>Example: </p>
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<ul>
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<li>550 + 298: <b>298 is nearly 300</b> so an estimate is 550+300 = 850</li>
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<li>550 + 248: <b>50+48 is nearly 100</b> so an estimate is 500+200<b> +100</b> = 800</li>
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</ul>
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<p>In one case it seemed easy to change one number and then add.</p>
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<p>In the other case I added the hundreds together and then increased the result by 100</p>
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</div>
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<p align="left">There is no "right way", </p>
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<p align="center"><b>Whatever works for you</b> is fine!</p>
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<p align="center">But how do you know what to do? <span class="large">Lots of Practice!</span></p>
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<p style="float:left; margin: 0 20px 5px 0;"><a href="estimation-game.html" class="large"><img src="images/estimate-multiply.gif" alt="Estimation Game" width="250" height="123" border="0" /></a></p>
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<p class="larger">So we made some <a href="estimation-game.html">Estimation Games</a> for you to practice with.</p>
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<p class="larger">Together with the following Tips and Tricks, you will become a Master at Estimation.</p>
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<p> </p>
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<h2>Tips and Tricks</h2>
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<p> Here are a few methods you might like to use:</p>
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<div class="dotpoint">Concentrate on the first digit of each number ... it will have the biggest impact on the answer. You can then look at the other digits to make small adjustments to your answer.</div>
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<div class="example">
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<p>Example: 2156 + 3809. </p>
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<p>Add 2000 and 3000 to get 5000. Then look at the rest of the numbers: "156 plus 809 is nearly a thousand", so increase your answer to 6000.</p>
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</div>
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<p align="center">That also works with decimal numbers: </p>
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<div class="example">
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<p>Example: what is 0.3126 times 53.81. Multiply 0.3 × 50 to get 15. Adjust that a little bit higher, and make your answer 17.</p>
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</div>
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<p class="dotpoint">Round the numbers up or down <i>before</i> the calculation. </p>
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<div class="example">
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<p>Example: 206 × 390. </p>
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<p>Because 206 is nearly 200, and 390 is nearly 400, the answer will be close to </p>
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<p align="center">200 × 400 = 80,000</p>
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</div>
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<div class="dotpoint"> Check the number of zeros in your calculation! </div>
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<div class="example">
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<p>In the previous example I calculated 200 × 400 = 80,000. How did I know how many zeros?</p>
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<p>That was easy: after multiplying 2×4 to get 8, I took the two zeros from 200 plus the two zeros from 400, to make four zeros after the 8: 80000 </p>
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</div>
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<div class="dotpoint">When adding a lot of similar numbers, look at the numbers and choose an average, and then multiply that average by how many numbers</div>
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<div class="example">
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<p>Example: What is 345 + 380 + 310 + 375 + 330 + 362? </p>
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<p>There are 6 numbers, which seem to be around 350: </p>
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<p align="center">6 × 350 = 2100</p>
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</div>
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<div class="dotpoint"> When doing division, change the numbers to fit in with the <a href="../tables.html">multiplication tables</a></div>
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<div class="example">
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<p>Example: what is 176 divided by 3? </p>
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<p>Change 176 to 180 (because 3×6=18) and then do:</p>
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<p align="center"> 180 / 3 = 60</p>
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<p> then adjust a little lower to 59 </p>
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</div>
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<div class="dotpoint"> Group numbers together that will be easy to work on</div>
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<div class="example">
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<p>Example: what is 76 + 49 + 22 + 53? </p>
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<p align="center">76 and 22 are nearly 100. </p>
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<p align="center">And 49 and 53 are also about 100. </p>
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<p align="center">So the answer must be about 200</p>
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</div>
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<div class="example">
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<p>Example: what is 52 × 13 × 20. </p>
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<p>The two outer number, 52 and 20 multiply to be about 1000 (5×2=10), </p>
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<p>THEN multiply by 13 to get 13,000<br />
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</p>
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</div>
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<div class="dotpoint">
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With decimals, percents and fractions try to think what the number <b>means</b>. Think: is it close to 1? Close to half? Close to zero? </div>
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<div class="example">
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<p>Example: 1.6 × 30. </p>
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<p>1.6 is close to 1.5, which is <b>1 and a half</b>. </p>
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<p>So 1.6 × 30 is close to <b>30 plus half of 30</b>, which is 30 + 15 = 45. </p>
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<p>Adjust a little higher for an estimate of <b>47</b></p>
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</div><br />
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<div class="example">
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<p>Example: 0.108 × 50. </p>
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<p>0.108 is close to <b>one-tenth</b>, so 0.108 × 50 is close to <b>one-tenth of 50</b> or about 5</p>
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<p>Adjust a little higher for an estimate of <b>5.5</b></p>
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</div>
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<div class="dotpoint"> A percentage is like a decimal: 10% is 0.1, 50% is 0.5, etc.</div>
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<div class="example">
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<p>Example: what is 20% of $15? </p>
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<p>20% is 0.2, or two-tenths. </p>
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<p><b>One</b> tenth of $15 is $1.50, so <b>two </b>tenths is $3.00</p>
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</div>
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<div class="dotpoint"> Also, a fraction might be close to zero, close to half or close to one.</div>
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<div class="example">
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<p>Example: what is 9/10 plus 7/8? </p>
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<p>Both 9/10 and 7/8 are close to one, so the answer must be close to 2.</p>
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</div>
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<div class="example">
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<p>Example: what is 4/9 times 12? </p>
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<p>4/9 is nearly half so the answer must be close to half of 12, or 6.<br />
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</p>
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</div>
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<h2>Estimating Counts, Lengths and More</h2>
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<p>Estimation is not always about doing calculations! It is important for you to be able to estimate how many things you can see, or how long something is or how big something is.</p>
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<p align="center">See our page on <a href="estimation-visual.html">Visual Estimation</a></p>
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<p> </p>
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<div class="questions"> <a href="../activity/garden-area.html">Garden Area Activity</a> <a href="../activity/garden-grass.html"><br />
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Grass for the Garden Activity</a></div>
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<div class="related">
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<a href="estimation.html">Estimation</a>
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<a href="estimation-visual.html">Visual Estimation</a>
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<a href="estimation-game.html">Estimation Games</a>
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<a href="index.html">Numbers Index</a>
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