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1.2 SPM Practice (Short Questions)

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Question 5:
What is the value of the digit 3, in base ten, in the number 43155?
 
Solution:
Identify the place value of each digit in the number first.
 
4
3
1
5
Place Value
53
52
51
50
Value of the digit 3 
= 3 × 52
= 75



Question 6:
Express 5(52 + 2) as a number in base 5.
 
Solution:
Step 1: Expand 5(52 + 2) first.
Step 2: write 5(52 + 2) in expanded notation for base 5.
5(52 + 2)
= 53 + 2 × 5
= 1 × 53 + 0 × 52 + 2 × 51+ 0 × 50
= 10205

53
52
51
50
1
0
2
05


Question 7:
1101102 – 111012 =
 
Solution:

Alternatively, use a scientific calculator to get the answer directly.