Question

Order the expressions from least value to greatest value. -4.8x3.2, 4.32, 3 ,–23-(-12)

A) -23-(-12) < -4.8x3.2 < 3 < 4.32
B) -4.8x3.2 < -23-(-12) < 3 < 4.32
C) -23-(-12) < -4.8x3.2 < 4.32 < 3
D) 3 < -23-(-12) < -4.8x3.2 < 4.32

Answer 1

After evaluating each expression, the expressions in ascending order are: -15.36 (-4.8x3.2), -11 (-23-(-12)), 3, and 4.32, which corresponds to option B) -4.8x3.2 < -23-(-12) < 3 < 4.32.

Step-by-step explanation:

The task is to order the expressions from least to greatest value. We have four expressions: -4.8x3.2, 4.32, 3, -23-(-12).

First, let's evaluate each expression:

• -4.8x3.2: Multiplying these gives -15.36. Since one number is negative and the other is positive, their product will have a -ve sign.
• 4.32: This value is already given as positive.
• 3: This value is also positive and needs no further calculation.
• -23-(-12): When subtracting a negative, it's the same as adding the positive, so this becomes -23+12 which equals -11.

Now, we can order them from least to greatest:

-4.8x3.2 (-15.36) < -23-(-12) (-11) < 3 < 4.32

Therefore, the correct order is: -4.8x3.2 < -23-(-12) < 3 < 4.32, which matches option B).