Math  /  Numbers & Operations

Question11. Multiply (2.5)4.13(-2.5) \cdot 4.13 103.25-103.25 10.325 103.25 10.325-10.325

Studdy Solution

STEP 1

What is this asking? We need to multiply two numbers, one of which is negative, and pick the correct answer from the options. Watch out! Don't forget that a negative number multiplied by a positive number results in a negative number!

STEP 2

1. Multiply the absolute values.
2. Adjust the sign.

STEP 3

Let's **ignore the signs** for a moment and just multiply the numbers as if they were both positive.
We'll deal with the sign at the end.
We're doing this because it's easier to keep track of the digits when we're not thinking about positive and negative at the same time!

STEP 4

2.54.13 2.5 \cdot 4.13 2.54.13=10.325 2.5 \cdot 4.13 = 10.325 So, 2.52.5 multiplied by 4.134.13 gives us 10.325\boldsymbol{10.325}.
Remember, this is just the **magnitude** of our answer.
We still need to figure out the sign!

STEP 5

Remember the rule: a *negative* number times a *positive* number is always *negative*.

STEP 6

Since we're multiplying (2.5)(-2.5) (negative) by 4.134.13 (positive), our final answer must be negative.

STEP 7

So, we take our result from the multiplication, 10.32510.325, and make it negative.
This gives us 10.325\boldsymbol{-10.325}!

STEP 8

The correct answer is 10.325-10.325.

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