3. The length, $$ p \mathrm{~cm} $$, of a car is 440 cm , correct to the nearest 10 cm . Complete the statement about $$ p $$.

Question

UpStudy AI · Accepted Answer

The given length is 440 cm rounded to the nearest 10 cm. This means that the actual length $$ p $$ lies in the interval where any value in that interval, when rounded to the nearest 10 cm, gives 440 cm.

To determine the interval, notice that if $$ p $$ is less than halfway between 430 and 440, it would round down to 430 cm. Similarly, if $$ p $$ is halfway between 440 and 450 or more, it would round up to 450 cm. Thus, rounding to 440 cm means that $$ p $$ must be at least halfway between 430 and 440, and less than halfway between 440 and 450.

The halfway point between 430 and 440 is

$$
\frac{430 + 440}{2} = 435 \text{ cm}
$$

and the halfway point between 440 and 450 is

$$
\frac{440 + 450}{2} = 445 \text{ cm}.
$$

Therefore, the actual length $$ p $$ satisfies

$$
435 \leq p < 445.
$$
The actual length $$ p $$ is between 435 cm and 445 cm.

3. The length, \( p \mathrm{~cm} \), of a car is 440 cm , correct to the nearest 10 cm . Complete the statement about \( p \).

Solución de inteligencia artificial de Upstudy

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Arithmetic Questions