Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Of course! Let's proceed with a detailed step-by-step solution for each calculation mentioned in the question:
1. Calculations
1.1. [tex]\( 36 + (-58) \)[/tex]
- When we add 36 and -58, we subtract 58 from 36: [tex]\( 36 - 58 = -22 \)[/tex].
1.2. [tex]\( 45 \times (-8) \)[/tex]
- Multiplying 45 by -8 gives us [tex]\( 45 \times -8 = -360 \)[/tex].
1.3. [tex]\( -39 + (-51) \)[/tex]
- Adding two negative numbers, -39 and -51, gives us a larger negative number: [tex]\( -39 + (-51) = -90 \)[/tex].
1.4. [tex]\( -2 \times 15 \)[/tex]
- Multiplying -2 by 15 results in [tex]\( -2 \times 15 = -30 \)[/tex].
1.5. [tex]\( 43 - (-12) \)[/tex]
- Subtracting a negative number is the same as adding the absolute value of that number: [tex]\( 43 - (-12) = 43 + 12 = 55 \)[/tex].
1.6. [tex]\( \frac{-36}{18} \)[/tex]
- Dividing -36 by 18 results in [tex]\( \frac{-36}{18} = -2.0 \)[/tex].
1.7. [tex]\( -59 - (-27) \)[/tex]
- Similar to 1.5, subtracting a negative number is like adding it: [tex]\( -59 - (-27) = -59 + 27 = -32 \)[/tex].
1.8. [tex]\( \frac{54}{-27} \)[/tex]
- Dividing 54 by -27 yields [tex]\( \frac{54}{-27} = -2.0 \)[/tex].
1.9. [tex]\( \frac{-144}{-12} \)[/tex]
- Dividing a negative number by another negative number results in a positive number: [tex]\( \frac{-144}{-12} = 12.0 \)[/tex].
2. Square Roots
2.1. [tex]\( \sqrt{361} \)[/tex]
- Taking the square root of 361 gives us [tex]\( 19.0 \)[/tex].
2.2. [tex]\( \sqrt{729} \)[/tex]
- Taking the square root of 729 results in [tex]\( 27.0 \)[/tex].
2.3. [tex]\( \sqrt{7569} \)[/tex]
- Taking the square root of 7569 yields [tex]\( 87.0 \)[/tex].
So, summarizing all the results, we get:
- [tex]\( 36 + (-58) = -22 \)[/tex]
- [tex]\( 45 \times (-8) = -360 \)[/tex]
- [tex]\( -39 + (-51) = -90 \)[/tex]
- [tex]\( -2 \times 15 = -30 \)[/tex]
- [tex]\( 43 - (-12) = 55 \)[/tex]
- [tex]\( \frac{-36}{18} = -2.0 \)[/tex]
- [tex]\( -59 - (-27) = -32 \)[/tex]
- [tex]\( \frac{54}{-27} = -2.0 \)[/tex]
- [tex]\( \frac{-144}{-12} = 12.0 \)[/tex]
- [tex]\( \sqrt{361} = 19.0 \)[/tex]
- [tex]\( \sqrt{729} = 27.0 \)[/tex]
- [tex]\( \sqrt{7569} = 87.0 \)[/tex]
1. Calculations
1.1. [tex]\( 36 + (-58) \)[/tex]
- When we add 36 and -58, we subtract 58 from 36: [tex]\( 36 - 58 = -22 \)[/tex].
1.2. [tex]\( 45 \times (-8) \)[/tex]
- Multiplying 45 by -8 gives us [tex]\( 45 \times -8 = -360 \)[/tex].
1.3. [tex]\( -39 + (-51) \)[/tex]
- Adding two negative numbers, -39 and -51, gives us a larger negative number: [tex]\( -39 + (-51) = -90 \)[/tex].
1.4. [tex]\( -2 \times 15 \)[/tex]
- Multiplying -2 by 15 results in [tex]\( -2 \times 15 = -30 \)[/tex].
1.5. [tex]\( 43 - (-12) \)[/tex]
- Subtracting a negative number is the same as adding the absolute value of that number: [tex]\( 43 - (-12) = 43 + 12 = 55 \)[/tex].
1.6. [tex]\( \frac{-36}{18} \)[/tex]
- Dividing -36 by 18 results in [tex]\( \frac{-36}{18} = -2.0 \)[/tex].
1.7. [tex]\( -59 - (-27) \)[/tex]
- Similar to 1.5, subtracting a negative number is like adding it: [tex]\( -59 - (-27) = -59 + 27 = -32 \)[/tex].
1.8. [tex]\( \frac{54}{-27} \)[/tex]
- Dividing 54 by -27 yields [tex]\( \frac{54}{-27} = -2.0 \)[/tex].
1.9. [tex]\( \frac{-144}{-12} \)[/tex]
- Dividing a negative number by another negative number results in a positive number: [tex]\( \frac{-144}{-12} = 12.0 \)[/tex].
2. Square Roots
2.1. [tex]\( \sqrt{361} \)[/tex]
- Taking the square root of 361 gives us [tex]\( 19.0 \)[/tex].
2.2. [tex]\( \sqrt{729} \)[/tex]
- Taking the square root of 729 results in [tex]\( 27.0 \)[/tex].
2.3. [tex]\( \sqrt{7569} \)[/tex]
- Taking the square root of 7569 yields [tex]\( 87.0 \)[/tex].
So, summarizing all the results, we get:
- [tex]\( 36 + (-58) = -22 \)[/tex]
- [tex]\( 45 \times (-8) = -360 \)[/tex]
- [tex]\( -39 + (-51) = -90 \)[/tex]
- [tex]\( -2 \times 15 = -30 \)[/tex]
- [tex]\( 43 - (-12) = 55 \)[/tex]
- [tex]\( \frac{-36}{18} = -2.0 \)[/tex]
- [tex]\( -59 - (-27) = -32 \)[/tex]
- [tex]\( \frac{54}{-27} = -2.0 \)[/tex]
- [tex]\( \frac{-144}{-12} = 12.0 \)[/tex]
- [tex]\( \sqrt{361} = 19.0 \)[/tex]
- [tex]\( \sqrt{729} = 27.0 \)[/tex]
- [tex]\( \sqrt{7569} = 87.0 \)[/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.