Question

answer these questions please​

Answer 1

Answer:

(i) 42/10, 45/10, 49/10

(ii) -69/10, -64/10, -63/10

(iii) 111/20, 120/20, 123/20

(iv) -9/18, 2/18, 9/18

(v) -2/7, 3/7, 4/7

Step-by-step explanation:

The simplest and easiest step is to multiply the numerator and denominator of both the numbers with a power of 10, here only 10¹

(i)

$( \frac{4 \times 10}{1 \times 10} ) - ( \frac{5 \times 10}{1 \times 10} )$

$(\frac{40}{10} )- (\frac{50}{10})$

Do note that the dash sign in the formula doesn't denote subtraction but the range of the two numbers

Now pick any three numbers between 40 and 50 and divide it by 10

e.g. 42/10, 45/10, 49/10

Similarly with the other questions

(ii)

$( \frac{ - 70}{10} ) - ( \frac{ - 60}{10} )$

-69/10, -64/10, -63/10

Note that I have reversed the order of the two numbers simply because -7 comes before -6, tho it isn't necessary to specify this in this order strictly

(iii)

$(5 \times \frac{1}{2} ) - (6 \times \frac{1}{2} )$

$( \frac{(5 \times 2) + 1}{2} ) - ( \frac{(6 \times 2) + 1}{2} )$

$( \frac{11 \times 10}{2 \times 10} ) - ( \frac{13 \times 10}{2 \times 10} )$

$( \frac{110}{20} ) - ( \frac{130}{20} )$

111/20, 120/20, 123/20

(iv)

$( \frac{ - 5 \times 3}{6 \times 3} ) - ( \frac{6 \times 2}{9 \times 2} )$

$( \frac{ - 15}{18} ) - ( \frac{12}{18} )$

Note that we first have to convert these two numbers into equivalent fractions. Coincidentally there is enough gap between them to find the three numbers so we won't have to multiply them by 10

-9/18, 2/18, 9/18

(v)

$( \frac{ - 4 \times 1}{7 \times 1} ) - ( \frac{1 \times 7}{1 \times 7} )$

$( \frac{ - 4}{7} ) - ( \frac{7}{7} )$

-2/7, 3/7, 4/7

Keep in mind that you are not bound to the three numbers I have given for each part. You can also choose your own set of numbers from the fractional equations