You have a block of ice with a mass of 6.12 . The volume of the water is 100L and the volume of water when the ice is in the water is 106.66L. I subtracted 100.00 and 106.66 to get 6.66L as the volume of the ice
What I'm confused about is how to divide 6.12 by 6.66 in long division I tried many times and got it wrong
I'm trying to find the density of the ice cube
.9189189189.....
But some of the ice floats above the water. Something must be holding it below water.
To find the density of the ice cube, you need to divide its mass by its volume. Let's go through the steps to calculate it.
Step 1: Determine the volume of the ice cube
In your scenario, you correctly subtracted the initial volume (100L) from the final volume (106.66L) to find that the volume of the ice cube is 6.66L.
Step 2: Calculate the density
Now, divide the mass of the ice cube (6.12 grams) by its volume (6.66L) to find the density. To do this, you can use the formula:
Density = Mass / Volume
In long division, you need to ensure the numbers are lined up correctly. Since mass is in grams and volume is in liters, it's important to first convert the mass into the same unit as volume. Let's convert the mass of the ice cube from grams to kilograms.
6.12 grams = 6.12 / 1000 = 0.00612 kilograms
So, your new equation becomes:
Density = 0.00612 kg / 6.66 L
Now, let's go through the division step by step:
0.00612 kg / 6.66 L
First, move the decimal point in the dividend (0.00612) three places to the right, so it becomes 0.00612.
Next, divide 0.00612 by 6.66:
- Place a zero on top and inside a bracket, and put it in the division symbol
_______
6.66│ 0.00612
- Divide 6.66 into 0.00612. The quotient will be really small, after the decimal point.
- Keep dividing until you have as many decimal places as desired:
_______
6.66│ 0.00612
- Multiply 6.66 by 0.0001, and subtract the result from 0.00612:
0.00612
- 0.00666
_______
0.00612
- Bring down another zero and continue dividing:
_______
6.66│ 0.00612
0
- Repeat the steps above until you get the desired number of decimal places.
Keep dividing until you are satisfied with the level of precision you need.
So, by dividing 0.00612 kilograms by 6.66 liters, you will find the density of the ice cube.