Question

Use each of the numbers 4, 40, and 4000 once to make true statements.

Answer 1

Answer:

1. The value 40÷40.01 is close to 1.

2. The value 4÷40.01 is much less than 1.

3. The value 4000÷40.01 is greater than 1.

Step by step explanation:

The given numbers are 4, 40 and 4000.

Divide each number 4, 40 and 4000 by 40.01 we get

$\frac{40}{40.01} = \frac{4000}{4001} = 0.999750062\approx 1$  

$\frac{4}{40.01} = \frac{400}{4001} = 0.0999750062$  

$\frac{4000}{40.01} = \frac{400000}{4001} =99.9750062$

You can see from above:

The value __40___÷40.01 is close to 1.

The value __4___÷40.01 is much less than 1

The value __4000___÷40.01 is greater than 1.

Answer 2

Answer:

$\frac{40}{40.01}$ ≅ 1.

Hence, $\frac{4}{40.01}$ < 1.

Hence, $\frac{4000}{40.01}$ > 1.

Step-by-step explanation:

We are given the numbers 4, 40 and 4000 to be used.

A. As we need the division $\frac{x}{40.01}$ to be close to 1.

So, we take x = 40 such that $\frac{40}{40.01}$ ≅ 0.9999 ≅ 1

Hence, $\frac{40}{40.01}$ ≅ 1.

B. As we need the division $\frac{x}{40.01}$ to be less than 1.

So, we take x = 4 such that $\frac{4}{40.01}$ ≅ 0.099 < 1

Hence, $\frac{4}{40.01}$ < 1.

C. As we need the division $\frac{x}{40.01}$ to be greater than 1.

So, we take x = 4000 such that $\frac{4000}{40.01}$ ≅ 99.9 > 1

Hence, $\frac{4000}{40.01}$ > 1.