Question

instructions: multiply or divide by powers of 10 to convert the
shown. use the chart on page 1 to remind yourself of the relatio
(note: because multiplying or dividing by powers of 10 can be th
point, the decimal shift corresponding to the math operation is a
1 35 meters = 3,500 centimeters
2 120 milligrams = 0.12 grams
3 15 centimeters = meters
4 3.4 grams = milligrams
5 0.5 kilograms = grams
6 21 centimeter = decimeters
7 6,800 grams = kilograms
8 10.4 centimeters = meters
9 0.03 grams = centigrams
10 1,375 meters = kilometers
11 7 meters = kilometers
12 8.5 milligrams = grams

Explanation:

Step1: Unit conversion rules

1 meter = 100 centimeters, 1 gram = 1000 milligrams, 1 kilometer = 1000 meters, 1 decimeter = 10 centimeters, 1 gram = 100 centigrams.

Step2: Solve each problem

Problem3:

Since 1 meter = 100 centimeters, to convert centimeters to meters, divide by 100.
$15\div100 = 0.15$

Problem4:

Since 1 gram = 1000 milligrams, to convert grams to milligrams, multiply by 1000.
$3.4\times1000 = 3400$

Problem5:

Since 1 kilogram = 1000 grams, to convert kilograms to grams, multiply by 1000.
$0.5\times1000 = 500$

Problem6:

Since 1 decimeter = 10 centimeters, to convert centimeters to decimeters, divide by 10.
$21\div10 = 2.1$

Problem7:

Since 1 kilogram = 1000 grams, to convert grams to kilograms, divide by 1000.
$6800\div1000 = 6.8$

Problem8:

Since 1 meter = 100 centimeters, to convert centimeters to meters, divide by 100.
$10.4\div100 = 0.104$

Problem9:

Since 1 gram = 100 centigrams, to convert grams to centigrams, multiply by 100.
$0.03\times100 = 3$

Problem10:

Since 1 kilometer = 1000 meters, to convert meters to kilometers, divide by 1000.
$1375\div1000 = 1.375$

Problem11:

Since 1 kilometer = 1000 meters, to convert meters to kilometers, divide by 1000.
$7\div1000 = 0.007$

Problem12:

Since 1 gram = 1000 milligrams, to convert milligrams to grams, divide by 1000.
$8.5\div1000 = 0.0085$

Answer:

1. $0.15$ meters
2. $3400$ milligrams
3. $500$ grams
4. $2.1$ decimeters
5. $6.8$ kilograms
6. $0.104$ meters
7. $3$ centigrams
8. $1.375$ kilometers
9. $0.007$ kilometers
10. $0.0085$ grams