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
[tex]\frac{40}{40.01} = \frac{4000}{4001} = 0.999750062\approx 1[/tex]
[tex]\frac{4}{40.01} = \frac{400}{4001} = 0.0999750062[/tex]
[tex]\frac{4000}{40.01} = \frac{400000}{4001} =99.9750062[/tex]
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:
[tex]\frac{40}{40.01}[/tex] ≅ 1.
Hence, [tex]\frac{4}{40.01}[/tex] < 1.
Hence, [tex]\frac{4000}{40.01}[/tex] > 1.
Step-by-step explanation:
We are given the numbers 4, 40 and 4000 to be used.
A. As we need the division [tex]\frac{x}{40.01}[/tex] to be close to 1.
So, we take x = 40 such that [tex]\frac{40}{40.01}[/tex] ≅ 0.9999 ≅ 1
Hence, [tex]\frac{40}{40.01}[/tex] ≅ 1.
B. As we need the division [tex]\frac{x}{40.01}[/tex] to be less than 1.
So, we take x = 4 such that [tex]\frac{4}{40.01}[/tex] ≅ 0.099 < 1
Hence, [tex]\frac{4}{40.01}[/tex] < 1.
C. As we need the division [tex]\frac{x}{40.01}[/tex] to be greater than 1.
So, we take x = 4000 such that [tex]\frac{4000}{40.01}[/tex] ≅ 99.9 > 1
Hence, [tex]\frac{4000}{40.01}[/tex] > 1.
