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ON THE MOTORWAY
On a car journey, get the children to find the digit sum of car number plates.
Any number of any size can always be reduced to a single figure by adding its digits.
- For example 42 has two digits which add up to 6.
We say "the digit sum of 42 is 6". - The digit sum of 413 is 8 because 4+1+3=8.
- For 20511 the digit sum is 9.
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<p><img src="/images/Tutorials/FWF/Exercise.jpg" width="43" height="43" align="absmiddle"><span id="QHI_FWF_On_The_Motorway_1" class="QHC_TutorialButton">On The Motorway (1)</span></p>
- Now suppose we want the digit sum of 417.
Adding 4, 1 and 7 gives 12.
But as 12 is a 2-figure number we add its digits to
get 3 (1+2=3).
We could write 417 = 12 = 3.
- And so 737 = 17 = 8.
We simply add the digits in the number and add again if necessary.
This is simple and one of its uses is in checking sums, as we will see.
<p><img src="/images/Tutorials/FWF/Exercise.jpg" width="43" height="43" align="absmiddle"><span id="QHI_FWF_On_The_Motorway_2" class="QHC_TutorialButton">On The Motorway (2)</span></p>
known have number;
for it is not possible
that without numbers
anything can be either
conceived or known
