Question

take a look at your metric ruler. you will see many tiny lines, and every so often a much longer line. the longer lines are centimeter (cm) marks, and the shorter lines are millimeter (mm) marks. let’s label a millimeter (mm) mark and a centimeter (cm) mark on the ruler below.

1. in the space below, draw a line that is 12 centimeters long. put small marks on the line indicating each centimeter.
2. draw a line that is 12 millimeters long. put small marks on the line indicating the 5 mm and 10 mm points.
3. what is the relationship between the lengths of these two lines? ____________
4. how many millimeters are in one centimeter? ____________
5. what part of a centimeter is one millimeter? ____________
6. below you will see three lines. with your metric ruler measure the length of each line in both centimeters and in millimeters.

a) ____________
length in cm = ____ length in mm = ____
b) ____________
length in cm = ____ length in mm = ____
c) ____________
length in cm = ____ length in mm = ____

Explanation:

Step1: Recall metric - length conversion

1 centimeter (cm) = 10 millimeters (mm).

Step2: Analyze the lengths of the two lines

The first line is 12 cm long. Converting to mm, we have 12×10 = 120 mm. The second line is 12 mm long. So the first line is 10 times as long as the second line (120÷12 = 10).

Step3: Answer question 4

There are 10 millimeters in one centimeter.

Step4: Answer question 5

One - millimeter is $\frac{1}{10}$ or 0.1 of a centimeter.

Step5: For question 6 (assuming we measure the lines accurately with a ruler)

Since no actual lines are provided for measurement here, we can't give specific numerical answers. But the general conversion rule is used: to convert from cm to mm, multiply the length in cm by 10.

Answer:

1. The 12 - centimeter line is 10 times as long as the 12 - millimeter line.
2. 10
3. $\frac{1}{10}$ or 0.1
4. a) Length in cm = (measure with ruler) Length in mm=(measure in cm)×10

b) Length in cm = (measure with ruler) Length in mm=(measure in cm)×10
c) Length in cm = (measure with ruler) Length in mm=(measure in cm)×10