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Sagot :
Let's verify each part of question 9 step-by-step.
### Part (a)
We need to verify the following equation:
[tex]\[ 18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)] \][/tex]
1. Calculate the left side:
[tex]\[ 18 \times [7 + (-3)] \][/tex]
First, perform the addition inside the brackets:
[tex]\[ 7 + (-3) = 4 \][/tex]
Then, multiply by 18:
[tex]\[ 18 \times 4 = 72 \][/tex]
2. Calculate the right side:
[tex]\[ [18 \times 7] + [18 \times (-3)] \][/tex]
First, perform the multiplications individually:
[tex]\[ 18 \times 7 = 126 \][/tex]
[tex]\[ 18 \times (-3) = -54 \][/tex]
Then, add the results:
[tex]\[ 126 + (-54) = 72 \][/tex]
3. Compare both sides:
The left side is 72, and the right side is 72. Since both sides are equal, the equation is verified:
[tex]\[ 18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)] \][/tex]
### Part (b)
We need to verify the following equation:
[tex]\[ (-21) \times [(-4) + (-6)] = [(-21) \times (-4)] + [(-21) \times (-6)] \][/tex]
1. Calculate the left side:
[tex]\[ (-21) \times [(-4) + (-6)] \][/tex]
First, perform the addition inside the brackets:
[tex]\[ (-4) + (-6) = -10 \][/tex]
Then, multiply by -21:
[tex]\[ (-21) \times (-10) = 210 \][/tex]
2. Calculate the right side:
[tex]\[ [(-21) \times (-4)] + [(-21) \times (-6)] \][/tex]
First, perform the multiplications individually:
[tex]\[ (-21) \times (-4) = 84 \][/tex]
[tex]\[ (-21) \times (-6) = 126 \][/tex]
Then, add the results:
[tex]\[ 84 + 126 = 210 \][/tex]
3. Compare both sides:
The left side is 210, and the right side is 210. Since both sides are equal, the equation is verified:
[tex]\[ (-21) \times [(-4) + (-6)] = [(-21) \times (-4)] + [(-21) \times (-6)] \][/tex]
### Part 10
Unfortunately, the question seems incomplete as it only states "A cement company earns a profit of Rs 8 per bag of white" and does not ask for anything specific. Please provide the rest of the question or clarify what needs to be answered in Part 10.
### Part (a)
We need to verify the following equation:
[tex]\[ 18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)] \][/tex]
1. Calculate the left side:
[tex]\[ 18 \times [7 + (-3)] \][/tex]
First, perform the addition inside the brackets:
[tex]\[ 7 + (-3) = 4 \][/tex]
Then, multiply by 18:
[tex]\[ 18 \times 4 = 72 \][/tex]
2. Calculate the right side:
[tex]\[ [18 \times 7] + [18 \times (-3)] \][/tex]
First, perform the multiplications individually:
[tex]\[ 18 \times 7 = 126 \][/tex]
[tex]\[ 18 \times (-3) = -54 \][/tex]
Then, add the results:
[tex]\[ 126 + (-54) = 72 \][/tex]
3. Compare both sides:
The left side is 72, and the right side is 72. Since both sides are equal, the equation is verified:
[tex]\[ 18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)] \][/tex]
### Part (b)
We need to verify the following equation:
[tex]\[ (-21) \times [(-4) + (-6)] = [(-21) \times (-4)] + [(-21) \times (-6)] \][/tex]
1. Calculate the left side:
[tex]\[ (-21) \times [(-4) + (-6)] \][/tex]
First, perform the addition inside the brackets:
[tex]\[ (-4) + (-6) = -10 \][/tex]
Then, multiply by -21:
[tex]\[ (-21) \times (-10) = 210 \][/tex]
2. Calculate the right side:
[tex]\[ [(-21) \times (-4)] + [(-21) \times (-6)] \][/tex]
First, perform the multiplications individually:
[tex]\[ (-21) \times (-4) = 84 \][/tex]
[tex]\[ (-21) \times (-6) = 126 \][/tex]
Then, add the results:
[tex]\[ 84 + 126 = 210 \][/tex]
3. Compare both sides:
The left side is 210, and the right side is 210. Since both sides are equal, the equation is verified:
[tex]\[ (-21) \times [(-4) + (-6)] = [(-21) \times (-4)] + [(-21) \times (-6)] \][/tex]
### Part 10
Unfortunately, the question seems incomplete as it only states "A cement company earns a profit of Rs 8 per bag of white" and does not ask for anything specific. Please provide the rest of the question or clarify what needs to be answered in Part 10.
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