High School

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1. Calculate the following values:

a. [tex]a = 500[/tex]

b. [tex]b = 300[/tex]

2. Quick recall: How fast can you answer the following?

a. [tex]40 \times 30 = ?[/tex]

b. [tex]400 \times 10 = ?[/tex]

c. [tex]5000 \times 4 = ?[/tex]

d. [tex]70 \times 60 = ?[/tex]

e. [tex]11 \times 400 = ?[/tex]

f. [tex]200 \times 70 = ?[/tex]

g. [tex]20 \times 30 = ?[/tex]

h. [tex]80 \times 500 = ?[/tex]

i. [tex]80 \times 10 = ?[/tex]

j. [tex]40 \times 200 = ?[/tex]

k. [tex]80 \times 110 = ?[/tex]

l. [tex]800 \times 70 = ?[/tex]

m. [tex]70 \times 80 = ?[/tex]

n. [tex]700 \times 120 = ?[/tex]

o. [tex]2000 \times 7 = ?[/tex]

p. [tex]400 \times 80 = ?[/tex]

q. [tex]80 \times 900 = ?[/tex]

r. [tex]50 \times 700 = ?[/tex]

s. [tex]900 \times 120 = ?[/tex]

t. [tex]500 \times 40 = ?[/tex]

u. [tex]400 \times 40 = ?[/tex]

v. [tex]70 \times 700 = ?[/tex]

w. [tex]b \times b \times a[/tex]

3. What is the value of [tex]X[/tex]?

a. [tex]6000 - 3000 - X = 0[/tex]

b. [tex]1000 \times X + 4000[/tex]

c. [tex]3000 - 700 \times 50 - 1000 + 17000 + X[/tex]

d. [tex]400 \times 200 + 100 - 4000 + 1200 - X[/tex]

e. [tex]5000 + 5000 - 10 - 10000 \times 500 \times X[/tex]

[tex]X = ?[/tex]

4. Calculate the following:

a. [tex]100000 + 100000[/tex]

b. [tex]50 - 50 = 0[/tex]

c. [tex](90 - 90) \times (100 + 1000)[/tex]

d. [tex]10 + 40 \times 3 = ?[/tex]

e. [tex]10 + 1 + (14 + 5)[/tex]

Answer :

Let's address each of the calculations one-by-one:


  1. Quick Recall Calculations:


    • $40 \times 30 = 1200$


    • $400 \times 10 = 4000$


    • $5000 \times 4 = 20000$


    • $70 \times 60 = 4200$


    • $11 \times 400 = 4400$


    • $200 \times 70 = 14000$


    • $20 \times 30 = 600$


    • $80 \times 500 = 40000$


    • $80 \times 10 = 800$


    • $40 \times 200 = 8000$


    • $80 \times 110 = 8800$


    • $800 \times 70 = 56000$


    • $70 \times 80 = 5600$


    • $700 \times 120 = 84000$


    • $2000 \times 7 = 14000$


    • $400 \times 80 = 32000$


    • $80 \times 900 = 72000$


    • $50 \times 700 = 35000$


    • $900 \times 120 = 108000$


    • $500 \times 40 = 20000$


    • $400 \times 40 = 16000$


    • $70 \times 700 = 49000$




  2. Expressions:


    • For [tex]b \times b \times a[/tex], given the values [tex]b = 300[/tex] and [tex]a = 500[/tex], the expression calculates to [tex](300) \times (300) \times (500)[/tex] which is $45000000$.



  3. Value of [tex]X[/tex] in equation 1 (multiple-choice problem):

    Option a:

    [tex]6000 - 3000 - X = 0[/tex]

    Solving for [tex]X[/tex] gives:

    [tex]6000 - 3000 = X[/tex]
    [tex]X = 3000[/tex]

    Therefore, the correct answer is Option a which implies [tex]X = 3000[/tex].


  4. Additional Calculations:


    • $100000 + 100000 = 200000$


    • $50 - 50 = 0$


    • [tex](90 - 90) \times (100 + 1000) = 0 \times 1100 = 0[/tex]


    • $10 + 40 \times 3$

      First calculate $40 \times 3 = 120[tex], then adding 10 gives $10 + 120 = 130[/tex].


    • $10 + 1 + (14 + 5)$

      First calculate $14 + 5 = 19[tex], then $10 + 1 + 19 = 30[/tex].





These responses cover all the calculations, providing a step-by-step breakdown for easy understanding.

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