QuestionA wire is $1 \mathrm{~m}$ long. If cut into 5 parts of $150 \mathrm{~mm}$ each, find the remaining length in $\mathrm{cm}$ .

Studdy Solution

STEP 1

Assumptions1. The total length of the wire is1 meter. . The student cut the wire into5 parts, each of length150 mm.
3. We need to find the remainder length of the wire in cm.

STEP 2

First, we need to convert the total length of the wire from meters to millimeters because the lengths of the cut parts are given in millimeters. We know that1 meter is equal to1000 millimeters.
$Total\, length\, (mm) = Total\, length\, (m) \\times1000$

STEP 3

Now, plug in the given value for the total length of the wire in meters to calculate the total length in millimeters.
$Total\, length\, (mm) =1\, m \\times1000 =1000\, mm$

STEP 4

Next, we need to find the total length of the cut parts. We can do this by multiplying the number of parts by the length of each part.
$Cut\, parts\, length = Number\, of\, parts \\times Length\, of\, each\, part$

STEP 5

Now, plug in the given values for the number of parts and the length of each part to calculate the total length of the cut parts.
$Cut\, parts\, length =5 \\times150\, mm =750\, mm$

STEP 6

Now that we have the total length of the wire and the total length of the cut parts, we can find the remainder length of the wire by subtracting the total length of the cut parts from the total length of the wire.
$Remainder\, length\, (mm) = Total\, length\, (mm) - Cut\, parts\, length$

STEP 7

Plug in the values for the total length of the wire and the total length of the cut parts to calculate the remainder length in millimeters.
$Remainder\, length\, (mm) =1000\, mm -750\, mm =250\, mm$

STEP 8

Finally, we need to convert the remainder length from millimeters to centimeters because the problem asks for the remainder length in cm. We know that1 mm is equal to0.1 cm.
$Remainder\, length\, (cm) = Remainder\, length\, (mm) \\times0.1$

STEP 9

Now, plug in the value for the remainder length in millimeters to calculate the remainder length in centimeters.
$Remainder\, length\, (cm) =250\, mm \\times. =25\, cm$ The remainder length of the wire is25 cm.

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