Question

Do THIS
Write the denominator of the following rational numbers in 2n5m form where n and m
are non-negative integers and then write them in their decimal form
3/4, 7/25, 51/64, 14/25, 80/100​

Answer 1

Given: The rational numbers 3/4, 7/25, 51/64, 14/25, 80/100​

To find: Write the denominator of the following rational numbers in 2^n5^m form where n and m  are non-negative integers.

Solution:

• Now we have given the numbers as:

                  (i) 3/4 = 3 / (2^2 x 5^0)

                      3/4 = 0.75

                  (ii) 7/25 = 7 / (2^0 x 5^2)

                       7/25 = 0.28

                  (iii) 51/64 = 51 / (2^6 x 5^0)

                        51/64 = 0.796875

                  (iv) 14/25 = 14 / (2^0 x 5^2)

                        14/25 = 0.56

                  (v) 80/100 = 80 / (2^2 x 5^2)

                       80/100 = 0.2

Answer:

              So all the denominators are written in 2^n5^m form where n and m  are non-negative integers.

Answer 2

Answer:

Decimal Forms are 0.75, 0.28, 0.8,0.56 and 0.8 respectively.

Step-by-step explanation:

Given:- Rational numbers are 3/4, 7/25, 51/64, 14/25, 80/100

To Find:- Denominators of the given rational numbers in the form 2^n5^m and their decimal form.

Solution:-

Fact:- If zero is to the power of any number then it's value is always equal to 1.

The given rational numbers are 3/4, 7/25, 51/64, 14/25, 80/100.

( 1 ) 3/4 = $\frac{3}{2^{2}5^{0} }$ , so n = 2 and m = 0.

Decimal form of 3/4 = 0.75.

( 2 ) 7/25 = $\frac{7}{2^{0}5^{2} }$ , so n = 0 and m = 2.

Decimal form of 7/25 = 0.28.

( 3 ) 64 = 2×2×2×2×2×2

∴ 51/64 = $\frac{51}{2^{6}5^{0} }$ , so n = 6 and m = 0.

Decimal form of 51/64 = 0.8 (approx.)

( 4 ) 14/25 = $\frac{14}{2^{0}5^{2} }$, here n = 0 and m = 2.

Decimal form of 14/25 = 0.56.

( 5 ) 100 = 2×2×5×5

∴ 80/100 = $\frac{80}{2^{2}5^{2} }$, so n = 2 and m = 2.

Decimal form of 80/100 = 0.8.

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