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Which of these expressions is equivalent to ?(A) (B) (C) (D)
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Q. Which of these expressions is equivalent to ?(A) (B) (C) (D)
- Understand division by decimal: To find an expression equivalent to , we need to understand how division by a decimal can be converted to division by a whole number. We can do this by multiplying both the dividend () and the divisor () by the same power of to eliminate the decimal from the divisor.
- Move decimal point to right: First, we identify how many places we need to move the decimal point in to make it a whole number. Since has one decimal place, we need to multiply by to move the decimal one place to the right, making it .
- Multiply dividend by : Next, we multiply the dividend () by the same power of we used to multiply the divisor (), which is . So, becomes .
- New expression: : Now we have a new expression: , which is equivalent to the original expression because we have multiplied both the dividend and the divisor by the same number ().
- Check other options: We can check the other options to confirm that they are not equivalent to . The expression would be equivalent to , which is not the same as . The expression is equivalent to , which is not the same as . The expression would be equivalent to , which is also not the same as .
