Let's go through each part of the problem step-by-step.
### Converting mm to cm and cm only:
To convert millimeters (mm) to centimeters (cm), we use the conversion factor:
[tex]\[ 1 \text{ cm} = 10 \text{ mm} \][/tex]
Therefore, to convert from millimeters to centimeters, we divide by 10. Let’s go through each value one-by-one.
a. [tex]\( 98 \text{ mm} \)[/tex]
[tex]\[ \frac{98 \text{ mm}}{10} = 9.8 \text{ cm} \][/tex]
b. [tex]\( 57 \text{ mm} \)[/tex]
[tex]\[ \frac{57 \text{ mm}}{10} = 5.7 \text{ cm} \][/tex]
c. [tex]\( 74 \text{ mm} \)[/tex]
[tex]\[ \frac{74 \text{ mm}}{10} = 7.4 \text{ cm} \][/tex]
d. [tex]\( 66 \text{ mm} \)[/tex]
[tex]\[ \frac{66 \text{ mm}}{10} = 6.6 \text{ cm} \][/tex]
e. [tex]\( 85 \text{ mm} \)[/tex]
[tex]\[ \frac{85 \text{ mm}}{10} = 8.5 \text{ cm} \][/tex]
f. [tex]\( 49 \text{ mm} \)[/tex]
[tex]\[ \frac{49 \text{ mm}}{10} = 4.9 \text{ cm} \][/tex]
### Writing cm and fractions of cm as mm:
To convert from centimeters (cm) and fractions of cm to millimeters (mm), we use the same conversion factor:
[tex]\[ 1 \text{ cm} = 10 \text{ mm} \][/tex]
Here, we need to multiply by 10. Let’s go through each value one-by-one.
a. [tex]\( 9 \frac{1}{2} \text{ cm} \)[/tex]
First, convert the mixed fraction to a decimal:
[tex]\[ 9 \frac{1}{2} \text{ cm} = 9.5 \text{ cm} \][/tex]
Then convert to mm:
[tex]\[ 9.5 \text{ cm} \times 10 = 95 \text{ mm} \][/tex]
b. [tex]\( 5 \frac{1}{2} \text{ cm} \)[/tex]
Converted to decimal:
[tex]\[ 5 \frac{1}{2} \text{ cm} = 5.5 \text{ cm} \][/tex]
And then to mm:
[tex]\[ 5.5 \text{ cm} \times 10 = 55 \text{ mm} \][/tex]
c. [tex]\( 7 \frac{1}{2} \text{ cm} \)[/tex]
Converted to decimal:
[tex]\[ 7 \frac{1}{2} \text{ cm} = 7.5 \text{ cm} \][/tex]
And then to mm:
[tex]\[ 7.5 \text{ cm} \times 10 = 75 \text{ mm} \][/tex]
d. [tex]\( 4 \frac{1}{2} \text{ cm} \)[/tex]
Converted to decimal:
[tex]\[ 4 \frac{1}{2} \text{ cm} = 4.5 \text{ cm} \][/tex]
And then to mm:
[tex]\[ 4.5 \text{ cm} \times 10 = 45 \text{ mm} \][/tex]
e. [tex]\( 8 \frac{1}{2} \text{ cm} \)[/tex]
Converted to decimal:
[tex]\[ 8 \frac{1}{2} \text{ cm} = 8.5 \text{ cm} \][/tex]
And then to mm:
[tex]\[ 8.5 \text{ cm} \times 10 = 85 \text{ mm} \][/tex]
f. [tex]\( 6 \text{ cm} \)[/tex]
[tex]\[ 6 \text{ cm} \times 10 = 60 \text{ mm} \][/tex]
Thus, the conversions are as follows:
1.
a. [tex]\(98 \text{ mm} = 9.8 \text{ cm}\)[/tex]
b. [tex]\(57 \text{ mm} = 5.7 \text{ cm}\)[/tex]
c. [tex]\(74 \text{ mm} = 7.4 \text{ cm}\)[/tex]
d. [tex]\(66 \text{ mm} = 6.6 \text{ cm}\)[/tex]
e. [tex]\(85 \text{ mm} = 8.5 \text{ cm}\)[/tex]
f. [tex]\(49 \text{ mm} = 4.9 \text{ cm}\)[/tex]
2.
a. [tex]\(9 \frac{1}{2} \text{ cm} = 95 \text{ mm}\)[/tex]
b. [tex]\(5 \frac{1}{2} \text{ cm} = 55 \text{ mm}\)[/tex]
c. [tex]\(7 \frac{1}{2} \text{ cm} = 75 \text{ mm}\)[/tex]
d. [tex]\(4 \frac{1}{2} \text{ cm} = 45 \text{ mm}\)[/tex]
e. [tex]\(8 \frac{1}{2} \text{ cm} = 85 \text{ mm}\)[/tex]
f. [tex]\(6 \text{ cm} = 60 \text{ mm}\)[/tex]
