Answer :
Let's compare each set of expressions using basic arithmetic operations to determine the correct inequality sign.
a. [tex]50000 + 25000[/tex] compared to [tex]50000 + 30000[/tex]
Calculate each side:
- Left: [tex]50000 + 25000 = 75000[/tex]
- Right: [tex]50000 + 30000 = 80000[/tex]
Therefore, [tex]75000 < 80000[/tex]. Thus, the inequality is [tex]<[/tex].
b. [tex]20000 + 20000[/tex] compared to [tex]20000 + 2000[/tex]
Calculate each side:
- Left: [tex]20000 + 20000 = 40000[/tex]
- Right: [tex]20000 + 2000 = 22000[/tex]
Therefore, [tex]40000 > 22000[/tex]. Thus, the inequality is [tex]>[/tex].
c. [tex]42000 - 18250[/tex] compared to [tex]42000 - 18520[/tex]
Calculate each side:
- Left: [tex]42000 - 18250 = 23750[/tex]
- Right: [tex]42000 - 18520 = 23480[/tex]
Therefore, [tex]23750 > 23480[/tex]. Thus, the inequality is [tex]>[/tex].
d. [tex]75000 - 4865[/tex] compared to [tex]75000 - 48650[/tex]
Calculate each side:
- Left: [tex]75000 - 4865 = 70135[/tex]
- Right: [tex]75000 - 48650 = 26350[/tex]
Therefore, [tex]70135 > 26350[/tex]. Thus, the inequality is [tex]>[/tex].
e. [tex]70000 + 16000[/tex] compared to [tex]90000 - 6000[/tex]
Calculate each side:
- Left: [tex]70000 + 16000 = 86000[/tex]
- Right: [tex]90000 - 6000 = 84000[/tex]
Therefore, [tex]86000 > 84000[/tex]. Thus, the inequality is [tex]>[/tex].
f. [tex]25000 - 1500[/tex] compared to [tex]20000 + 3500[/tex]
Calculate each side:
- Left: [tex]25000 - 1500 = 23500[/tex]
- Right: [tex]20000 + 3500 = 23500[/tex]
Therefore, [tex]23500 = 23500[/tex]. Thus, the inequality is [tex]=[/tex].
These comparisons help understand basic arithmetic operations, such as addition and subtraction, and how they influence the relative size of numbers.
