Question

What number should go in the space? Multiplying by 0.65 is the same as decreasing by _____%

Answer 1

Answer: 35%

Step-by-step explanation:

If no is 10, 10 x 0.65 = 6.5. OR

10 - 35% of 10 = 6.5

Answer 2

  Multiplying by 0.65 is the same as decreasing by 35%

Conversion of statements into algebraic expression:

• To convert the statement into algebraic expression choose the variables first.
• Then form the expression or equation as per given statements.

Let the number is 'a' and percentage decrease is 'b',

Expression for the given statement will be,

a × 0.65 = a - (b% of a)

$0.65a=a(1-\frac{b}{100})$

$0.65=1-\frac{b}{100}$

$\frac{b}{100}=1-0.65$

$b=100(0.35)$

$b=35$

    Therefore, Multiplying by 0.65 is the same as decreasing by 35%.

Learn more about the Algebraic expressions for the statements here,

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