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Compare the following using the symbols (=, <, >):

a. 50000 + 25000 ______ 50000 + 30000

b. 20000 + 20000 ______ 20000 + 2000

c. 42000 - 18250 ______ 42000 - 18520

d. 75000 - 4865 ______ 75000 - 48650

e. 70000 + 16000 ______ 90000 - 6000

f. 25000 - 1500 ______ 20000 + 3500

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.

Thanks for taking the time to read Compare the following using the symbols a 50000 25000 50000 30000 b 20000 20000 20000 2000 c 42000 18250 42000 18520 d 75000 4865 75000. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

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