Question

Arrange the following numerical expressions in ascending order: 3/2​, −57%, 5.3+x+10⁻³, and −0.53.

Answer 1

To arrange the given numerical expressions in ascending order, convert all the expressions into a common form. The order is: -0.53, -57%, 3/2, 5.3 + x + 10⁻³.

Step-by-step explanation:

To arrange the given numerical expressions in ascending order, let's first convert all the expressions into a common form.

The given expressions are:

• 3/2: This is a fraction and is already in a simplified form.
• −57%: This is a percentage and can be converted to a decimal by dividing it by 100.
• 5.3 + x + 10⁻³: This is an algebraic expression with a variable 'x' and a decimal number.
• −0.53: This is a negative decimal number.

Now, we can arrange the expressions in ascending order:

1. −0.53: The negative decimal number is the smallest.
2. −57%: The percentage, when converted to a decimal, is larger than -0.53, but smaller than the other expressions.
3. 3/2: The fraction is larger than -57%.
4. 5.3 + x + 10⁻³: The expression with the variable 'x' and the decimal number is the largest.