Answer :
Sure! Let's go through each part of the question step-by-step:
a. Calculate [tex]\(19 - 8 \times 2 + \left(12 \div 3\right)\)[/tex]:
- First, perform the multiplication: [tex]\(8 \times 2 = 16\)[/tex].
- Next, perform the division: [tex]\(12 \div 3 = 4\)[/tex].
- Now, substitute back into the expression: [tex]\(19 - 16 + 4\)[/tex].
- Perform the subtraction and addition: [tex]\(19 - 16 = 3\)[/tex], then [tex]\(3 + 4 = 7\)[/tex].
- Result: 7
b. The formula to calculate the volume of a rectangular prism:
- The volume is calculated by multiplying the length, width, and height.
- The formula is: Volume = length × width × height.
c. Calculate [tex]\(7.83 \times 1000\)[/tex]:
- To solve this, multiply: [tex]\(7.83 \times 1000 = 7830\)[/tex].
- Result: 7830
d. Calculate [tex]\(7.83 \div 1000\)[/tex]:
- To solve this, divide: [tex]\(7.83 \div 1000 = 0.00783\)[/tex].
- Result: 0.00783
e. Convert [tex]\(19.7 \, \text{m}\)[/tex] to [tex]\(\text{cm}\)[/tex]:
- Since 1 meter equals 100 centimeters, you multiply: [tex]\(19.7 \times 100 = 1970\)[/tex].
- Result: 1970 cm
f. Convert 2348 g to kg:
- Since 1000 grams equals 1 kilogram, divide: [tex]\(2348 \div 1000 = 2.348\)[/tex].
- Result: 2.348 kg
g. Round 18974 to the nearest 10000:
- 18974 is closer to 20000 than 10000.
- Result: 20000
h. Round 323 to the nearest 5:
- 323 divided by 5 gives 64.6, which rounds to 65.
- Multiplying 65 by 5 gives: [tex]\(65 \times 5 = 325\)[/tex].
- Result: 325
i. Convert to percentage: [tex]\(\frac{24}{30}\)[/tex]:
- First, divide: [tex]\(\frac{24}{30} = 0.8\)[/tex].
- Convert to percentage by multiplying by 100: [tex]\(0.8 \times 100 = 80\)[/tex].
- Result: 80%
I hope these detailed explanations help you understand each step! If you have any more questions, feel free to ask.
a. Calculate [tex]\(19 - 8 \times 2 + \left(12 \div 3\right)\)[/tex]:
- First, perform the multiplication: [tex]\(8 \times 2 = 16\)[/tex].
- Next, perform the division: [tex]\(12 \div 3 = 4\)[/tex].
- Now, substitute back into the expression: [tex]\(19 - 16 + 4\)[/tex].
- Perform the subtraction and addition: [tex]\(19 - 16 = 3\)[/tex], then [tex]\(3 + 4 = 7\)[/tex].
- Result: 7
b. The formula to calculate the volume of a rectangular prism:
- The volume is calculated by multiplying the length, width, and height.
- The formula is: Volume = length × width × height.
c. Calculate [tex]\(7.83 \times 1000\)[/tex]:
- To solve this, multiply: [tex]\(7.83 \times 1000 = 7830\)[/tex].
- Result: 7830
d. Calculate [tex]\(7.83 \div 1000\)[/tex]:
- To solve this, divide: [tex]\(7.83 \div 1000 = 0.00783\)[/tex].
- Result: 0.00783
e. Convert [tex]\(19.7 \, \text{m}\)[/tex] to [tex]\(\text{cm}\)[/tex]:
- Since 1 meter equals 100 centimeters, you multiply: [tex]\(19.7 \times 100 = 1970\)[/tex].
- Result: 1970 cm
f. Convert 2348 g to kg:
- Since 1000 grams equals 1 kilogram, divide: [tex]\(2348 \div 1000 = 2.348\)[/tex].
- Result: 2.348 kg
g. Round 18974 to the nearest 10000:
- 18974 is closer to 20000 than 10000.
- Result: 20000
h. Round 323 to the nearest 5:
- 323 divided by 5 gives 64.6, which rounds to 65.
- Multiplying 65 by 5 gives: [tex]\(65 \times 5 = 325\)[/tex].
- Result: 325
i. Convert to percentage: [tex]\(\frac{24}{30}\)[/tex]:
- First, divide: [tex]\(\frac{24}{30} = 0.8\)[/tex].
- Convert to percentage by multiplying by 100: [tex]\(0.8 \times 100 = 80\)[/tex].
- Result: 80%
I hope these detailed explanations help you understand each step! If you have any more questions, feel free to ask.
