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<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">Express $10893.69775$ to</div><ol class="abc-list"><li data-list-item-id="item-i-a" data-list-item-path="item-i/item-i-a"><div class="list-item-paragraph">$3$ significant figures,<span class="inline-marks">[1]</span></div></li><li data-list-item-id="item-i-b" data-list-item-path="item-i/item-i-b"><div class="list-item-paragraph">the nearest hundredth.<span class="inline-marks">[1]</span></div></li></ol></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">Given that&nbsp;$\sqrt{7.89}\approx 2.809$, $\sqrt[3]{7.89}\approx 1.991$ and $\sqrt{78.9}\approx 8.883$, showing your working clearly, evaluate,</div><ol class="abc-list"><li data-list-item-id="item-ii-a" data-list-item-path="item-ii/item-ii-a"><div class="list-item-paragraph">$\sqrt{789000}$,<span class="inline-marks">[2]</span></div></li><li data-list-item-id="item-ii-b" data-list-item-path="item-ii/item-ii-b"><div class="list-item-paragraph">$\sqrt[3]{0.00789}$,<span class="inline-marks">[2]</span></div></li></ol></li></ol>

Given that $\sqrt{7.89}\approx 2.809$, $\sqrt[3]{7.89}\approx 1.991$ and $\sqrt{78.9}\approx 8.883$, showing your working clearly, evaluate,

Rounding Off

Scaling Given Approximations

Significant Figures

IP1 Class Test (May 2025) Q7

Approximation and Estimation

<p>Correct $7.235\ 517\ 8$ to</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$4$ decimal places,</div></li><li><div class="list-item-content"><span class="list-item-text">the nearest tenth,</span></div></li><li><div class="list-item-content"><span class="list-item-text">the nearest thousandth,</span></div></li><li><div class="list-item-content"><span class="list-item-text">the nearest $0.000\ 01$.</span></div></li></ol>

 Rounding Off

<p>Correct $86.322\ 15$ to</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$3$ decimal places,</div></li><li><div class="list-item-content"><span class="list-item-text">the nearest tenth,</span></div></li><li><div class="list-item-content"><span class="list-item-text">the nearest thousandth,</span></div></li><li><div class="list-item-content"><span class="list-item-text">the nearest $0.0001$.</span></div></li></ol>

<p>Round off $5\ 200$ to the nearest</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">10,</span></div></li><li><div class="list-item-content"><span class="list-item-text">100,</span></div></li><li><div class="list-item-content"><span class="list-item-text">1000.</span></div></li></ol>

<p>Round off $84\ 748.25$ to the nearest</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">10,</span></div></li><li><div class="list-item-content"><span class="list-item-text">100,</span></div></li><li><div class="list-item-content"><span class="list-item-text">1000.</span></div></li></ol>

<p>Round off $16\ 532$ to the nearest</p>
<ol class="abc-list"><li data-list-item-id="item-a" data-list-item-path="item-a"><div class="list-item-paragraph">$10$,</div></li><li data-list-item-id="item-b" data-list-item-path="item-b"><div class="list-item-paragraph">$100$,</div></li><li data-list-item-id="item-c" data-list-item-path="item-c"><div class="list-item-paragraph">$1000.$</div></li></ol>

<p>Round off the number $20.0132989$ to</p>
<ol class="abc-list"><li><div class="list-item-paragraph">the nearest whole number,</div></li><li><div class="list-item-paragraph">$2$ decimal places,</div></li><li><div class="list-item-paragraph">nearest tenth,</div></li><li><div class="list-item-paragraph">nearest $0.001$.</div></li></ol>

Rounding a Number to Various Degrees of Accuracy

<p>Round off $5146.22896$ to</p>
<ol class="abc-list"><li><div class="list-item-paragraph">nearest thousand,</div></li><li><div class="list-item-paragraph">$3$ decimal places,</div></li><li><div class="list-item-paragraph">nearest thousandth,</div></li><li><div class="list-item-paragraph">nearest whole number.</div></li></ol>

<p>Round off $1042.8355$ to</p>
<ol class="abc-list"><li><div class="list-item-paragraph">nearest hundreds,</div></li><li><div class="list-item-paragraph">nearest tenth,</div></li><li><div class="list-item-paragraph">nearest hundredth,</div></li><li><div class="list-item-paragraph">$3$ decimal places.</div></li></ol>

<p>Round off each of the following numbers to the nearest whole number, $100$, $10$ and $1$ decimal place.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$272.41$</div></li><li><div class="list-item-paragraph">$1628.98$</div></li><li><div class="list-item-paragraph">$773.175$</div></li><li><div class="list-item-paragraph">$4055.26$</div></li></ol>

Round off each of the following numbers to the nearest whole number, $100$, $10$ and $1$ decimal place.

<p>A number $199\,499$ rounded to the nearest ${{10}^{n}}$ is $200\,000$. State the possible values of $n$.</p>

A number $199\,499$ rounded to the nearest ${{10}^{n}}$ is $200\,000$. State the possible values of $n$.

Rounding to the Nearest Power of 10: Identifying Possible Values of  𝑛 

<p>A number $399\,799$ rounded to the nearest ${{10}^{n}}$ is $400\,000$. State the possible values of $n$.</p>

A number $399\,799$ rounded to the nearest ${{10}^{n}}$ is $400\,000$. State the possible values of $n$.

Rounding to the Nearest Power of 10: Determining Possible Values of 𝑛

<ol class="abc-list"><li><div class="list-item-paragraph">Round off the number ${20725}$ to $3$ significant figures.</div><p style="text-align: right;">[1]</p></li><li><div class="list-item-paragraph">Calculate $\frac{-{{0.123}^{3}}}{\sqrt[3]{52}-3.9}$. Write your answer correct to $2$ decimal places.</div><p style="text-align: right;">[1]</p></li></ol>

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