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1.2 SPM Practice (Short Questions)

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Question 1:
Express 2058 as a number of base five.

Solution:
2058 = 2 × 82 + 0 × 81+ 5 × 80 = 13310
 



Question 2:
State the value of the digit 6 in the number 16238, in base ten.

Solution:
Identify the place value of each digit in the number first.
1
6
2
3
Place Value
83
82
81
80
Value of the digit 6
= 6 × 82
= 384


Question 3:
Given 3 × 53 + 4 × 52 + 5p = 34205, find the value of p.
 
Solution:
34205 = 3 × 53 + 4 × 52+ 2 × 51 + 0 × 50
34205 = 3 × 53 + 4 × 52+ 5p+ 0
5p = 2 × 51
5p = 10
p = 2


Question 4:
Convert 4 × 84 + 2 × 82 + 4 to a number in base eight.
 
Solution:
84
83
82
81
80
4
0
2
0
48
Answer = 402048