Q. Which of these expressions is equivalent to 9÷0.3 ?(A) 0.9÷3(B) 9÷3(C) 90÷3(D) 900÷3
Understand division by decimal: To find an expression equivalent to 9÷0.3, 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 (9) and the divisor (0.3) by the same power of 10 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 0.3 to make it a whole number. Since 0.3 has one decimal place, we need to multiply by 10 to move the decimal one place to the right, making it 3.
Multiply dividend by 10: Next, we multiply the dividend (9) by the same power of 10 we used to multiply the divisor (0.3), which is 10. So, 9 becomes 90.
New expression: 90÷3: Now we have a new expression: 90÷3, which is equivalent to the original expression 9÷0.3 because we have multiplied both the dividend and the divisor by the same number (10).
Check other options: We can check the other options to confirm that they are not equivalent to 9÷0.3. The expression 0.9÷3 would be equivalent to 9÷30, which is not the same as 9÷0.3. The expression 9÷3 is equivalent to 3, which is not the same as 9÷0.3. The expression 900÷3 would be equivalent to 9÷0.003, which is also not the same as 9÷0.3.
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