Answer :
Let's work through each part of the question step by step.
### Part (i): Put these in order of size, starting with the largest.
We'll start by examining each set of numbers.
(a) [tex]$4, 4.2, 0.42$[/tex]
1. The largest number is 4.2.
2. The second largest number is 4.
3. The smallest number is 0.42.
Order: 4.2, 4, 0.42
(b) [tex]$5.12, 16, 1.64$[/tex]
1. The largest number is 16.
2. The second largest number is 5.12.
3. The smallest number is 1.64.
Order: 16, 5.12, 1.64
(d) [tex]$12, 11.24, 10.376$[/tex]
1. The largest number is 12.
2. The second largest number is 11.24.
3. The smallest number is 10.376.
Order: 12, 11.24, 10.376
(e) [tex]$125, 152, 151.6$[/tex]
1. The largest number is 152.
2. The second largest number is 151.6.
3. The smallest number is 125.
Order: 152, 151.6, 125
### Part (ii): Take the smallest number from the largest number.
Let's calculate the difference between the largest and the smallest number for each set.
(a) [tex]$4, 4.2, 0.42$[/tex]
- Largest: 4.2
- Smallest: 0.42
Difference: 4.2 - 0.42 = 3.78
(b) [tex]$5.12, 16, 1.64$[/tex]
- Largest: 16
- Smallest: 1.64
Difference: 16 - 1.64 = 14.36
(d) [tex]$12, 11.24, 10.376$[/tex]
- Largest: 12
- Smallest: 10.376
Difference: 12 - 10.376 = 1.624
(e) [tex]$125, 152, 151.6$[/tex]
- Largest: 152
- Smallest: 125
Difference: 152 - 125 = 27
These step-by-step calculations provide the explanation needed to understand how the answers were derived for both parts of the question.
### Part (i): Put these in order of size, starting with the largest.
We'll start by examining each set of numbers.
(a) [tex]$4, 4.2, 0.42$[/tex]
1. The largest number is 4.2.
2. The second largest number is 4.
3. The smallest number is 0.42.
Order: 4.2, 4, 0.42
(b) [tex]$5.12, 16, 1.64$[/tex]
1. The largest number is 16.
2. The second largest number is 5.12.
3. The smallest number is 1.64.
Order: 16, 5.12, 1.64
(d) [tex]$12, 11.24, 10.376$[/tex]
1. The largest number is 12.
2. The second largest number is 11.24.
3. The smallest number is 10.376.
Order: 12, 11.24, 10.376
(e) [tex]$125, 152, 151.6$[/tex]
1. The largest number is 152.
2. The second largest number is 151.6.
3. The smallest number is 125.
Order: 152, 151.6, 125
### Part (ii): Take the smallest number from the largest number.
Let's calculate the difference between the largest and the smallest number for each set.
(a) [tex]$4, 4.2, 0.42$[/tex]
- Largest: 4.2
- Smallest: 0.42
Difference: 4.2 - 0.42 = 3.78
(b) [tex]$5.12, 16, 1.64$[/tex]
- Largest: 16
- Smallest: 1.64
Difference: 16 - 1.64 = 14.36
(d) [tex]$12, 11.24, 10.376$[/tex]
- Largest: 12
- Smallest: 10.376
Difference: 12 - 10.376 = 1.624
(e) [tex]$125, 152, 151.6$[/tex]
- Largest: 152
- Smallest: 125
Difference: 152 - 125 = 27
These step-by-step calculations provide the explanation needed to understand how the answers were derived for both parts of the question.
