A student compared $- \frac{1}{4}$ and $- 0.3$ . He changed $- \frac{1}{4}$ to the decimal $- 0.25$ and wrote, " Since $0.3$ is greater than $0.25$ , $- 0.3$ is greater than $- 0.25$ ". What was the student's error?

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Solution

Step: Find the error

Since $0.3$ is greater than $0.25$

$∴ - 0.3$ is less than $- 0.25$

Hence, the student's error is $- 0.3 > - 0.25$

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Question 123

A student compared $- \frac{1}{4}$ and $- 0.3$ he changed $- \frac{1}{4}$ to the decimal $- 0.25$ and wrote, "since , $0.3$ is greater than $0.25$ , so $- 0.3$ is greater than $- 0.25$ ". What was the students error?

Convert the following percentages to fractions and ratios:

(i)25% (ii)2.5% (iii)0.25% (iv)0.3% (v)125%

Q. Arrange in ascending order:

0.23

0.3

and

0.25

Q. Simplify: 0.35 × 2 + 0.25 × 3 - 0.3 × 1.5

Q. Solve:

\frac{0.25 (x - 3) + 0.3 (x - 4)}{0.125} = 5 x - 19

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A student compared −14 and −0.3. He changed −14 to the decimal −0.25 and wrote, " Since 0.3 is greater than 0.25, −0.3 is greater than −0.25". What was the student's error?

Step: Find the error​ Since 0.3 is greater than 0.25 ∴−0.3 is less than −0.25 Hence, the student's error is −0.3>−0.25

A student compared $- \frac{1}{4}$ and $- 0.3$ . He changed $- \frac{1}{4}$ to the decimal $- 0.25$ and wrote, " Since $0.3$ is greater than $0.25$ , $- 0.3$ is greater than $- 0.25$ ". What was the student's error?

Step: Find the error

Since $0.3$ is greater than $0.25$

$∴ - 0.3$ is less than $- 0.25$

Hence, the student's error is $- 0.3 > - 0.25$