Question
Basic Multiplication 1. \( (-2) \times(-4) \) 2. \( (-3) \times(-7) \) 3. \( (-5) \times(-6) \) 4. \( (-8) \times(-9) \)
Ask by Campbell Cummings. in Norway
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The results are:
1. \( (-2) \times (-4) = 8 \)
2. \( (-3) \times (-7) = 21 \)
3. \( (-5) \times (-6) = 30 \)
4. \( (-8) \times (-9) = 72 \)
Solution
Sure! Let's solve each of the multiplication problems step by step.
### 1. \( (-2) \times (-4) \)
**Step 1:** Multiply the absolute values:
\[
2 \times 4 = 8
\]
**Step 2:** Determine the sign of the product:
- A negative times a negative is a **positive**.
**Result:** \( (-2) \times (-4) = 8 \)
---
### 2. \( (-3) \times (-7) \)
**Step 1:** Multiply the absolute values:
\[
3 \times 7 = 21
\]
**Step 2:** Determine the sign of the product:
- A negative times a negative is a **positive**.
**Result:** \( (-3) \times (-7) = 21 \)
---
### 3. \( (-5) \times (-6) \)
**Step 1:** Multiply the absolute values:
\[
5 \times 6 = 30
\]
**Step 2:** Determine the sign of the product:
- A negative times a negative is a **positive**.
**Result:** \( (-5) \times (-6) = 30 \)
---
### 4. \( (-8) \times (-9) \)
**Step 1:** Multiply the absolute values:
\[
8 \times 9 = 72
\]
**Step 2:** Determine the sign of the product:
- A negative times a negative is a **positive**.
**Result:** \( (-8) \times (-9) = 72 \)
---
**Summary of Results:**
1. \( (-2) \times (-4) = 8 \)
2. \( (-3) \times (-7) = 21 \)
3. \( (-5) \times (-6) = 30 \)
4. \( (-8) \times (-9) = 72 \)
**Key Point:**
When multiplying two negative numbers, the negatives cancel out, resulting in a positive product.
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Simplify this solution Extra Insights
When you multiply two negative numbers, they become positive! So, in the case of \( (-2) \times (-4) \), the answer is \( 8 \). Similarly, \( (-3) \times (-7) \) equals \( 21 \). For \( (-5) \times (-6) \), you get \( 30 \), and lastly, \( (-8) \times (-9) \) results in \( 72 \). Aren't math rules just the best? Applying this concept in real life can be super helpful! For instance, if you're calculating profits from losses (like if you had a negative balance), the negatives flip to show gains! So, understanding how multiplying negatives works can give a new perspective in finance and budgeting. Plus, it’s a nifty trick for mental math that’ll impress your friends!
