What is the value of the following mathematical expression? \frac{0.84}{0.04} + 2.5 \times… — Armed Services Vocational Aptitude Battery (ASVAB)

What is the value of the following mathematical expression?

\frac{0.84}{0.04} + 2.5 \times (-1.4)

17.5

To evaluate the expression correctly, the order of operations must be followed. First, resolve the division:

0.84 \div 0.04 = 21

. Next, resolve the multiplication:

2.5 \times (-1.4) = -3.5

. Finally, add these two results together:

21 + (-3.5) = 17.5

. Proper decimal alignment (

21.0 - 3.5

) ensures the correct final value.

Perform the division operation.

\frac{0.84}{0.04} = \frac{84}{4} = 21

According to the order of operations (PEMDAS), division and multiplication must be evaluated before addition.

Perform the multiplication operation.

2.5 \times (-1.4) = -3.5

Complete the remaining multiplication before moving on to addition. Note that a positive multiplied by a negative results in a negative product.

Add the results of the division and multiplication together.

21 + (-3.5) = 21.0 - 3.5 = 17.5

Substitute the evaluated terms back into the expression and align the decimal points to subtract correctly.

Order of Operations with Decimals

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