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Calculate the following:

(b) 154 × 99

(c) 1,003 × 138

(d) 625 × 20 × 50 × 8

Answer :

Let's calculate each problem step-by-step:

(b) 154 [tex]\times[/tex] 99

To make the calculation easier, we can use the distributive property. Notice that 99 is just 100 - 1.

[tex]154 \times 99 = 154 \times (100 - 1) = 154 \times 100 - 154 \times 1[/tex]

Calculate each part:


  1. [tex]154 \times 100 = 15400[/tex]

  2. [tex]154 \times 1 = 154[/tex]


Subtract the two results:

[tex]15400 - 154 = 15246[/tex]

So, [tex]154 \times 99 = 15246[/tex].

(c) 1,003 [tex]\times[/tex] 138

Again, we can use the distributive property, splitting 1,003 as 1,000 + 3.

[tex]1003 \times 138 = (1000 + 3) \times 138 = (1000 \times 138) + (3 \times 138)[/tex]

Calculate each part:


  1. [tex]1000 \times 138 = 138000[/tex]

  2. [tex]3 \times 138 = 414[/tex]


Add the two results:

[tex]138000 + 414 = 138414[/tex]

Thus, [tex]1,003 \times 138 = 138414[/tex].

(c) 625 [tex]\times[/tex] 20 [tex]\times[/tex] 50 [tex]\times[/tex] 8

When multiplying several numbers, it's often helpful to multiply them in such an order that makes calculations simpler. Let's compute this product step-by-step:


  1. [tex]625 \times 8 = 5000[/tex]

    Explanation: 625 can be split as 500 + 125 or calculated directly. Here, you simplify each number step-by-step.


  2. [tex]5000 \times 20 = 100000[/tex]


  3. [tex]100000 \times 50 = 5000000[/tex]



Therefore, [tex]625 \times 20 \times 50 \times 8 = 5000000[/tex].

These solutions demonstrate the use of basic arithmetic operations and the distributive property to simplify computations.

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Rewritten by : Jeany