Question

1. Which of the following is the smallest?
a. 37.31 x 1.1
b. 3.731 x 0.11
C. 373.1 x 0.011
d. 0.03731 X 1.1

Answer 1

Solution :-

Solving given options one by one we get,

a. 37.31 x 1.1

→ (3731/100) * (11/10)

→ (3731 * 11)/(100 * 10)

→ (41041/1000)

→ 41.041

b. 3.731 x 0.11

→ (3731/1000) * (11/100)

→ (3731 * 11)/(1000 * 100)

→ (41041/100000)

→ 0.41041

c. 373.1 x 0.011

→ (3731/10) * (11/1000)

→ (3731 * 11)/(10 * 1000)

→ (41041/10000)

→ 4.1041

d. 0.03731 X 1.1

→ (3731/100000) * (11/10)

→ (3731 * 11)/(100000 * 10)

→ (41041/1000000)

→ 0.041041

as we can see that,

→ 41.041 > 4.1041 > 0.41041 > 0.041041

→ a > c > b > d .

therefore, we can conclude that, (d) 0.03731 X 1.1 is the smallest out of the following.

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Answer 2

Given : a. 37.31 x 1.1

b. 3.731 x 0.11

C. 373.1 x 0.011

d. 0.03731 X 1.1

To Find : Smallest number

Solution:

37.31 x 1.1

= 3.731 * 10  * 1.1

= (3.731 * 1.1) * 10

3.731 x 0.11

= 3.731 * 1.1/10

=(3.731 * 1.1) / 10

373.1 x 0.011

= 3.731 * 100  * 1.1/100

= 3.731 * 1.1

0.03731 X 1.1

= 3.731 /100   * 1.1

= (3.731 * 1.1 ) /100

(3.731 * 1.1 ) /100  < (3.731 * 1.1) / 10 <  3.731 * 1.1  <   (3.731 * 1.1) * 10

0.03731 X 1.1 < 3.731 x 0.11 < 373.1 x 0.011 < 37.31 x 1.1

Hence  0.03731 X 1.1 is the smallest

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