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viktelen [127]
3 years ago
12

Len estimated the sum of 16.23, 215.7, and 110.3 by rounding each number to the nearest whole.

Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Estimated sum = 342

Actual sum = 342.23

Solution:

<u>Rule to rounding decimal number to whole:</u>

If the number after the decimal point is greater than or equal to 5, then add one number to the whole number and remove the decimal terms.

If the number after the decimal point is less than 5, then remove the decimal term and the whole number is as it is the same.

Nearest whole of 16.23 = 16 (decimal is less than 5, so as it is same whole)

Nearest whole of 215.7 = 216 (decimal is greater than 5, so add 1 number)

Nearest whole of 110.3 = 110 (decimal is less than 5, so as it is same whole)

Estimated sum = 16 + 216 + 110

Estimated sum = 342

Actual sum = 16.23 + 215.7 + 110.3

Actual sum = 342.23

Hence Len's estimated sum of the numbers is 342 and the actual sum of the numbers is 342.23.

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Ok so according to my research its 100 pence to one pound. Which will mean that 25p in pounds is £ 00.25

Step-by-step explanation:

<h3>let's say:</h3><h3>10p= <em>x</em></h3><h3>20p=<em> </em><em>y</em><em> </em></h3><h3>50p= <em>z</em><em> </em></h3><h3>'3 fewer 20p (<em>y</em><em>)</em><em> </em>coins than 10p (<em>x</em>) coins'</h3><h3>Therefore:</h3><h3>y-3=<em>x</em><em> </em></h3><h3>and <em>y</em>= <em>x</em>+3</h3><h3>'7 more 50p coins (<em>z</em>) than 10p coins (<em>x</em>)'</h3><h3>That is:</h3><h3><em>z</em>+7= <em>x</em></h3><h3><em>z</em><em>=</em><em> </em><em>x-7</em></h3><h3>'altogether are 61 coins'</h3><h3><em>x</em><em>+</em><em>y</em><em>+</em><em>z</em><em> </em><em>=</em><em> </em>61 </h3><h3>(substitute for y and z)</h3><h3><em>x</em><em> </em>+ <em>x</em><em> </em>+ 3 + <em>x</em><em> </em>- 7 = 61</h3><h3><em>x</em><em>+</em><em>x</em><em>+</em><em>x</em><em>+</em><em>3</em><em>-7</em><em> </em><em>=</em><em> </em>61</h3><h3>3<em>x</em><em> </em>- 4= 61</h3><h3>3<em>x</em>= 61 + 4</h3><h3>3<em>x</em>=65</h3><h3><em>x</em>= 65÷3</h3><h3><em>x</em>= (approximately) 21.6 </h3><h3>(Substitute <em>x</em><em> </em>in <em>y</em><em> </em>and <em>z</em>)</h3><h3><em>y</em><em> </em><em>=</em><em> </em><em>x</em><em>+</em>3</h3><h3><em>y</em><em> </em>= 21.6 + 3 = 24.6 (approximately 25)</h3><h3><em>z</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>-7</h3><h3><em>z</em><em>=</em><em> </em>21.6-7= 14.6 (approximately 15)</h3><h3>y= 20p </h3><h3>y= 25p (approximately)</h3><h3 /><h3><u>Check</u><u> </u></h3><h3>x+y+z= ?</h3><h3>21.6 + 24.6 + 14.6= 60.8 (approximately 61)</h3>

(Sorry I couldn't change to pounds)

And I tried to explain as much as possible, you can ask if you're confused.

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