It might "forbidden" in a third-grade math course, to keep things simple, but in the real world, there is no problem with dividing or multiplying quantities that have different units. "Miles per hour" is a ratio (i.e., a quotient) that involves distance units and time units. To calculate your average speed when you drive 120 miles in 2 hours, you get ##\frac{120 \text{ miles }}{2 \text{ hours }} = 60 \frac{\text{ miles }}{ \text{ hour }}##, are as it's usually written, 60 mph.Physou said:I am following up my 8 years old daughter's homework, and want to show her how division and multiplication work together , such as in division by a fraction : am I right if I say " we divide chocolates by boxes and 6 chocolates divided by half a box means 6 x 2 half boxes = 12 in one box ? " or is it "forbidden" to divide things that don't have the same name, i.e. chocolate and box , as I read in an arithmetic course for kids ?
It is forbidden to add or subtract things that don't have the same name, usually when we multiply or divide we have things that are different. 12 chocolates per box is meaningful, 1 chocolate per chocolate, or 1 square chocolate is not.Physou said:I am following up my 8 years old daughter's homework, and want to show her how division and multiplication work together , such as in division by a fraction : am I right if I say " we divide chocolates by boxes and 6 chocolates divided by half a box means 6 x 2 half boxes = 12 in one box ? " or is it "forbidden" to divide things that don't have the same name, i.e. chocolate and box , as I read in an arithmetic course for kids ? Thank you !
I think these analogies are only useful for integers. I also think that introducing division by fractions too early is a mistake: 8 years old is too early for most kids.Physou said:1 chocolate per chocolate is not meaningful, but saying " 6 chocolates divided by halves give 12 halves but divided by 1/2 box give 12 chocolates " is correct ?
You always have 1 chocolate per chocolate. If you do not own any chocolate, you also have 2 chocolate per chocolate you own.MrAnchovy said:It is forbidden to add or subtract things that don't have the same name, usually when we multiply or divide we have things that are different. 12 chocolates per box is meaningful, 1 chocolate per chocolate, or 1 square chocolate is not.
The best way to divide chocolates evenly among a group is to first count the number of chocolates you have and the number of people in the group. Then, use long division to divide the total number of chocolates by the number of people. The quotient will be the number of chocolates each person should receive.
Yes, you can definitely use fractions to divide chocolates. Fractions represent parts of a whole, so you can divide a certain number of chocolates into equal parts using fractions. For example, if you have 12 chocolates and want to divide them into thirds, each person would receive 4 chocolates (12 ÷ 3 = 4).
To divide chocolates using a number line, first draw a number line and label the starting and ending points with the total number of chocolates. Then, divide the number line into equal parts based on the number of people you want to divide the chocolates among. The number of chocolates in each part will be the answer to your division problem.
To check if your division of chocolates is correct, you can use multiplication. Multiply the number of chocolates each person received by the number of people and the result should be the total number of chocolates you started with. For example, if you divided 12 chocolates among 4 people, you should have 3 chocolates per person. 3 x 4 = 12, so your division is correct.
Yes, there are many different methods you can use to divide chocolates. Some other methods include using arrays, equal groups, and repeated subtraction. It's important to choose the method that is easiest for you and helps you understand the concept of division and fractions better.