Respuesta :

Answer:

(i) 7 one is equivalent is equivalent to [tex]\frac{7}{100}[/tex] hundreds, (ii) 1400 tenths is equivalent to 14 tens.

Step-by-step explanation:

We proceed to find the equivalent number in rational form:

(i) 7 one is equivalent to how many hundreds? In this case, we know that 7 one is equivalent to [tex]x[/tex] hundreds. That is:

[tex]7\times 1 = x \times 100[/tex]

Then, we solve the expression for [tex]x[/tex]:

[tex]x = \frac{7\times 1}{100}[/tex]

[tex]x = \frac{7}{100}[/tex]

7 one is equivalent is equivalent to [tex]\frac{7}{100}[/tex] hundreds.

(ii) 1400 tenths is equivalent to how many tens? In this case, 1400 tenths is equivalent to [tex]x[/tex] tens. That is:

[tex]1400\times \frac{1}{10} = x\times 10[/tex]

Then, we solve for [tex]x[/tex]:

[tex]x = \frac{1400}{10\times 10}[/tex]

[tex]x = \frac{1400}{100}[/tex]

[tex]x = 14[/tex]

1400 tenths is equivalent to 14 tens.