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Answer :
To solve the problem of multiplying two negative numbers, [tex]\(-170 \times (-345)\)[/tex], you can follow these steps:
1. Understand the Rule of Signs: When you multiply two negative numbers, the result is positive. This is an important rule in math to remember.
2. Ignore the Negative Signs Temporarily: Start by multiplying the absolute values of the numbers (ignoring the negative signs for now).
3. Multiply the Absolute Values:
[tex]\[
170 \times 345
\][/tex]
4. Perform the Multiplication: Calculate [tex]\(170 \times 345\)[/tex].
To multiply these, you can use the long multiplication method:
- Multiply 170 by 5 to get 850.
- Multiply 170 by 40 (since 345 is 300 + 40 + 5 and you need to break it down) to get 6800.
- Multiply 170 by 300 to get 51,000.
- Add these results together: [tex]\(51,000 + 6,800 + 850 = 58,650\)[/tex].
5. Consider the Signs: As mentioned earlier, since you're multiplying two negative numbers, the product will be positive.
Therefore, the final answer is:
[tex]\[
58,650
\][/tex]
1. Understand the Rule of Signs: When you multiply two negative numbers, the result is positive. This is an important rule in math to remember.
2. Ignore the Negative Signs Temporarily: Start by multiplying the absolute values of the numbers (ignoring the negative signs for now).
3. Multiply the Absolute Values:
[tex]\[
170 \times 345
\][/tex]
4. Perform the Multiplication: Calculate [tex]\(170 \times 345\)[/tex].
To multiply these, you can use the long multiplication method:
- Multiply 170 by 5 to get 850.
- Multiply 170 by 40 (since 345 is 300 + 40 + 5 and you need to break it down) to get 6800.
- Multiply 170 by 300 to get 51,000.
- Add these results together: [tex]\(51,000 + 6,800 + 850 = 58,650\)[/tex].
5. Consider the Signs: As mentioned earlier, since you're multiplying two negative numbers, the product will be positive.
Therefore, the final answer is:
[tex]\[
58,650
\][/tex]
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