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The value of 0.0488÷0.002=?
18.7
13.8
21.5
24.4
24.4
Shift the decimal point of both numbers to the right by the same number of places to make the divisor an integer. Here, multiplying both by 1000 makes it 48.8 ÷ 2.
Expression to evaluate: 0.0488 ÷ 0.002
ba=b×10na×10n
Shift the decimal point of both numbers to the right by the same number of places to make the divisor an integer. Here, multiplying both by 1000 makes it 48.8 ÷ 2.
Misplacing the decimal point when shifting; 0.0488 ÷ 0.002 is equivalent to 48.8 ÷ 2, not 488 ÷ 2.
Convert division to fraction
Represent the division as a fraction: 0.0020.0488
0.0020.0488
Multiply to eliminate decimals in the divisor
Multiply both the numerator and the denominator by 1000 to make the denominator a whole number.
0.002×10000.0488×1000=248.8
Perform the final division
Divide 48.8 by 2 to get the result.
48.8÷2=24.4
D is correct because 0.0488 ÷ 0.002 = 24.4
This technique is essential for physics problems involving units like scientific notation (e.g., micro-units or nano-units) where decimal shifting prevents calculation errors.
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