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What should come in place of question ma...

What should come in place of question mark (?) in the following questions?
`1.5xx78div0.5=?`

A

243

B

234

C

238

D

216

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \(1.5 \times 78 \div 0.5\), we can follow these steps: ### Step 1: Rewrite the numbers in fraction form We can express \(1.5\) and \(0.5\) as fractions: - \(1.5 = \frac{15}{10}\) - \(0.5 = \frac{5}{10}\) ### Step 2: Substitute the fractions into the expression Now we can rewrite the expression: \[ 1.5 \times 78 \div 0.5 = \frac{15}{10} \times 78 \div \frac{5}{10} \] ### Step 3: Change the division to multiplication When dividing by a fraction, we multiply by its reciprocal: \[ = \frac{15}{10} \times 78 \times \frac{10}{5} \] ### Step 4: Simplify the expression We can simplify the expression step-by-step: - The \(10\) in the numerator and denominator cancel out: \[ = \frac{15}{1} \times 78 \times \frac{1}{5} \] - Now we can simplify \(15\) and \(5\): \[ = 3 \times 78 \] ### Step 5: Calculate the final multiplication Now, we multiply \(3\) by \(78\): \[ 3 \times 78 = 234 \] ### Conclusion Thus, the value that should come in place of the question mark (?) is: \[ \boxed{234} \]
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