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A ribbon of length 8┬аm┬а54┬аcm is cut into 7 pieces of equal length. The length of each piece is:
22 m
32 m
12 m
02 m
22 m
Convert the entire length to centimeters (854 cm) and perform the division by 7, then convert back to meters (e.g., 854 / 7 = 122, so 1.22 m).
Length of ribbon = 8 m 54 cm, number of pieces = 7.
LpieceтАЛ=nLtotalтАЛтАЛ
Convert the entire length to centimeters (854 cm) and perform the division by 7, then convert back to meters (e.g., 854 / 7 = 122, so 1.22 m).
Confusing units by directly dividing 8 by 7 and 54 by 7 separately, which ignores the carry-over from meters to centimeters.
Convert total length to centimeters
Since 1 m = 100 cm, the total length is 8 m + 54 cm = 800 cm + 54 cm = 854 cm.
8┬аm┬а54┬аcm=854┬аcm
Divide by the number of pieces
Divide the total length in centimeters by 7 to find the length per piece.
LpieceтАЛ=7854┬аcmтАЛ=122┬аcm
Convert back to meters
Convert 122 cm back to meters by dividing by 100.
122┬аcm=1.22┬аm
A is correct because the total length of 854 cm divided by 7 results in 122 cm, which is 1.22 m.
Always unify units before performing arithmetic operations involving mixed measurements to avoid errors in decimal placement.