Dylan and Lucas know the digits in the product
6
×
3
.
01
are 1806. Dylan says the decimal should be placed between the 8 and 0. Lucas says the decimal should be placed between the 1 and 8.
Determine which student is correct. Explain your thinking using estimation and place value in your response.
Do yall have a good explanation or at least something I can put into my own words? I need help from WriteTeacher If that is possible.
Firstly, write horizontally: 6*3.01
Secondly, Dylan is correct because if you rounded the problem to 6*3 you would get 18. So Dylan's statement is correct.
THANK YOU SO MUCH-
My, bad I copied and pasted it and it came out like this;
6
×
3
AJL asked you to write the problem horizontally.
To determine which student, Dylan or Lucas, is correct about where to place the decimal in the product 6 × 3.01, we can use estimation and place value.
First, let's estimate the product of 6 × 3.01. We can round 6 to the nearest whole number, which is 6. We can also round 3.01 to the nearest whole number, which is 3.
So, our estimate for the product would be 6 × 3 = 18.
Now, let's analyze the digits in the actual product, which is 1806.
If we place the decimal between the 8 and 0, as Dylan suggests, the number becomes 180.6. This aligns with our estimation, as 180 is close to 18.
However, if we place the decimal between the 1 and 8, as Lucas suggests, the number becomes 18.06. This is significantly different from our estimation of 18.
Based on this analysis, it seems that Dylan's suggestion of placing the decimal between the 8 and 0 is more accurate. This is supported by the fact that the actual product, 1806, aligns more closely with Dylan's placement of the decimal.
Therefore, Dylan is correct about where to place the decimal in the product 6 × 3.01.