Q1 – TAKE FROM ORDERING NUMBERS (Q1)
Q2
Put the following decimals in ascending order of size, with u_1 being the smallest and u_5 being the largest.
2(a) 10.10, 11.00, 11.10, 10.11, 10.101
Multiple answers
ANSWERS:
u_1 = 10.10
u_2 = 10.101
u_3 = 10.11
u_4 = 11.00
u_4 = 11.10
1 mark
2(b) 31.31, 33.11, 31.13, 33.33, 31.11
Multiple answers
ANSWERS:
u_1 = 31.11
u_2 = 31.13
u_3 = 31.31
u_4 = 33.11
u_5 = 33.33
1 mark
2(c) 0.7010, 0.7011, 0.70101, 0.7101, 0.7110
Multiple answers
ANSWERS:
u_1 = 0.7010
u_2 = 0.70101
u_3 = 0.7011
u_4 = 0.7101
u_5 = 0.7110
1 mark
Q3
Put the following decimals in descending order of size, with u_1 being the smallest and u_5 being the largest.
3(a) 291.19, 291.19, 219.11, 291.11, 211.99
Multiple answers
ANSWERS:
u_1 = 211.99 (smallest)
u_2 = 219.11
u_3 = 219.19
u_4 = 291.11
u_5 = 291.19 (largest)
1 mark
3(b) 0.67142, 0.64127, 0.67421, 0.64271, 0.67214
Multiple answers
ANSWERS:
u_1 = 0.64127 (smallest)
u_2 = 0.64271
u_3 = 0.67142
u_4 = 0.67214
u_5 = 0.67421 (largest)
1 mark
3(c) 0.2, 0.202, 0.220, 0.020, 0.002
Multiple answers
ANSWERS:
u_1 = 0.002 (smallest)
u_2 = 0.020
u_3 = 0.2
u_4 = 0.202
u_5 = 0.220 (largest)
1 mark
Q4
Consider the following numbers:
0.101010, 0.101101, 0.110110, 0.110101, 0.100101, 0.100001
Put the orders in descending order of size, with u_1 being the smallest and u_6 being the largest.
Multiple answers
ANSWERS:
u_6 = 0.110110
u_5 = 0.110101
u_4 = 0.101101
u_3 = 0.101010
u_2 = 0.100101
u_1 = 0.100001
2 marks
Q5
Consider the following numbers:
4.45011, 4.01450, 4.54011, 4.45010, 4.54014, 4.04501
Put the numbers in ascending order of size, with u_1 being the smallest and u_6 being the largest.
Multiple answers
ANSWERS:
u_1 = 4.01450
u_2 = 4.04501
u_3 = 4.45010
u_4 = 4.45011
u_5 = 4.54011
u_6 = 4.54014
2 marks
Q6
Consider the following numbers:
83.22801, 83.22810, 83.20128, 83.21802, 83.21820, 83.20182
Put the numbers in descending order of size, with u_1 being the smallest and u_6 being the largest.
Multiple answers
ANSWERS:
u_6 = -83.20128
u_5 = -83.20182
u_4 = -83.21802
u_3 = -83.21820
u_2 = -83.22801
u_1 = -83.22810
Workings:
The larger the number after the minus sign, the more negative the number is. The more negative a number is, the smallest it is considered to be.
2 marks
Q7
Consider the following numbers:
-0.05021, 0.50102, -0.50201, 0.05012, 0.50201, -0.05201
Put the decimals in ascending order of size, with u_1 being the smallest and u_6 being the largest.
Multiple answers
ANSWERS:
u_1 = -0.50201
u_2 = -0.05201
u_3 = -0.05021
u_4 = 0.05012
u_5 = 0.50102
u_6 = 0.50201
Workings:
The larger the number after the minus sign, the more negative the number is. The more negative a number is, the smallest it is considered to be.
2 marks