Question

Analyze and Persevere Write an equation that illustrates the following: A number with two decimal places multiplied by a number with one decimal place. The product has only two nonzero digits.

Answer 1

The equation will be: [ X x Y = z ]

where ( x ) is a number with two decimal places, ( y ) is a number with one decimal place, and ( z ) is the product with only two nonzero digits.

Step-by-step explanation:

In the equation
`\( x * y = z \)`, we represent the multiplication of a number with two decimal places ( x ) by a number with one decimal place ( y ), resulting in a product ( z) with only two nonzero digits. Let's break down the components of this equation.

Firstly, ( x ) represents any number with two decimal places. For instance, let ( x = 12.34 ). Next, ( y ) is a number with one decimal place, for example, ( y = 5.6 ). Multiplying ( x ) and ( y ) ( 12.34 x 5.6 ), we get ( z = 69.184 ). However, we want ( z ) to have only two nonzero digits. To achieve this, we can round ( z) to two decimal places, resulting in ( z = 69.18 ).

The equation
`\( x * y = z \)` illustrates the requirement of having a product with only two nonzero digits while multiplying a number with two decimal places by a number with one decimal place. This allows for a concise and clear representation of the mathematical relationship specified in the problem.