QuestionConvert the tolerance $+/-.125$ inch to mm, rounded to the nearest $1/100$ mm: $3$ mm, $1.25$ mm, $3.17$ mm, or $0.05$ mm?

Studdy Solution

STEP 1

Assumptions1. The tolerance is $+/- .125$ inch. We need to convert this tolerance to millimeters (mm)
3. The conversion factor from inches to millimeters is1 inch =25.4 mm

STEP 2

First, we need to convert the tolerance from inches to millimeters. We can do this by multiplying the tolerance by the conversion factor.
$olerance_{mm} =olerance_{inch} \\times Conversion\, factor$

STEP 3

Now, plug in the given values for the tolerance and the conversion factor to calculate the tolerance in millimeters.
$olerance_{mm} = +/- .125 \\times25.$

STEP 4

Calculate the tolerance in millimeters.
$olerance_{mm} = +/- .125 \\times25.4 = +/-3.175$ The tolerance is $+/-3.175$ mm. However, the problem asks us to express the tolerance to the nearest $1 /100$ mm.

STEP 5

To express the tolerance to the nearest $1 /100$ mm, we need to round the calculated tolerance to the nearest hundredth place.
$olerance_{mm} = +/-3.18$ So, the tolerance is $+/-3.18$ mm to the nearest $1 /100$ mm.

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