When a number is multiplied with 25 it gives 78125. Find the number and express it as a power of 5. What is the product if the number is multiplied by $(- 5) \times (5)$ ? [3 MARKS]

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Solution

Concept: 1 Mark
Application: 1 Mark
Answer: 1 Mark

Let the number be $x$ .

Given that,

$(x) \times (25) = 78125$

$x = 3125$

$\Rightarrow$ The required number is 3125

Now,

$3125 = 5 \times 5 \times 5 \times 5 \times 5$

$\Rightarrow 3125 = 5^{5}$

Now, if the number was multiplied by $(- 5) \times (5)$ then the product $= (- 5) \times (5) \times 3125$ = $- 78125$

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When a number is multiplied with 25 it gives 78125. Find the number and express it as a power of 5. What is the product if the number is multiplied by (−5)×(5)? [3 MARKS]

Concept: 1 Mark Application: 1 Mark Answer: 1 Mark Let the number be x. Given that, (x)×(25)=78125 x=3125 ⇒ The required number is 3125 Now, 3125=5×5×5×5×5 ⇒3125=55 Now, if the number was multiplied by (−5)×(5) then the product=(−5)×(5)×3125 = −78125

When a number is multiplied with 25 it gives 78125. Find the number and express it as a power of 5. What is the product if the number is multiplied by $(- 5) \times (5)$ ? [3 MARKS]