The decimal representation of 345679 /2²× 5⁵ Will be terminated after how many decimals places ?? Please don’t post invalid answer please..!! About the author Adeline
Given : 345679 / (2² × 5⁵) To Find : The decimal representation will terminate after how many decimal places Solution: 345679 / (2² × 5⁵) Multiply numerator and denominator by 2³ = 345679 × 2³ / (2³ × 2² × 5⁵) = 345679 × 2³ / (2³ ⁺² × 5⁵) = 345679 × 2³ / (2⁵ × 5⁵) = 345679 × 2³ / (2× 5)⁵ = 345679 × 2³ / (10)⁵ = 345679 × 2³ / 100000 The decimal representation will terminate after 5 decimal places. 345679 × 2³ / 100000 = 345679 × 8 / 100000 = 2765432 / 100000 = 27.65432 The decimal representation will terminate after 5 decimal places. Learn More: the decimal representation of 11/2×2×2×5 will (a) terminating after … brainly.in/question/12543621 let x=7/20×25 be a rational number.then x has decimal expansion … brainly.in/question/11225093 The decimal representation of 17/2^2×5^3 terminate after https://brainly.in/question/14525710 Reply
Answer:
27.65432
Step-by-step explanation:
345679/4×3125
345679/12500
27.65432
terminating
Given : 345679 / (2² × 5⁵)
To Find : The decimal representation will terminate after how many decimal places
Solution:
345679 / (2² × 5⁵)
Multiply numerator and denominator by 2³
= 345679 × 2³ / (2³ × 2² × 5⁵)
= 345679 × 2³ / (2³ ⁺² × 5⁵)
= 345679 × 2³ / (2⁵ × 5⁵)
= 345679 × 2³ / (2× 5)⁵
= 345679 × 2³ / (10)⁵
= 345679 × 2³ / 100000
The decimal representation will terminate after 5 decimal places.
345679 × 2³ / 100000
= 345679 × 8 / 100000
= 2765432 / 100000
= 27.65432
The decimal representation will terminate after 5 decimal places.
Learn More:
the decimal representation of 11/2×2×2×5 will (a) terminating after …
brainly.in/question/12543621
let x=7/20×25 be a rational number.then x has decimal expansion …
brainly.in/question/11225093
The decimal representation of 17/2^2×5^3 terminate after
https://brainly.in/question/14525710