To convert measurements in the metric system, you can move the decimal point left or right. why does this work?

In this case, the net effect is that you moved the decimal point three places to the right, which is the same as multiplying 7 by 1,000. Similarly, to divide any number by 10, move the decimal point one place to the left.

Step-by-step explanation:

To convert the measurements of metric system into another units of metric system we have to either multiply it by 10, 100, 1000, 10000, 100000, etc or divide by 10, 100, 1000, 10000, 100000, etc.

If we have to convert bigger unit into smaller unit then we have to multiply the unit by the multiples of 10, then the decimal point is shifted to right by 1 or 2 or 3 or 4 , etc. places.

For example, 1.2 kg is converted into g so we have to multiply it by 1000, so decimal point is shifted to right by 3 places, i.e.,

1.2 x 1000 = 1200 g

If we have to convert smaller unit into bigger unit then we have to divide the unit by the multiples of 10, then the decimal point is shifted to left by 1 or 2 or 3 or 4 , etc. places.

For example, 12 cm is converted into m so we have to divide it by 100, so decimal point is shifted to left by 2 places, i.e.,

12 / 100 = 0.12 m  

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!