Dylan and lucas know that the digits in the product 6 x 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.decide which student is correct. explain your thinking. use estimation and place value in your response. ( .)

Dylan is correct

The answer computed is the number of hundredths in the product, so the decimal point should be placed to reflect that fact.

3.01 is 301/100

When you multiply by 6, you get 1806/100. The number 1806 is the number of hundredths in the answer. When you put the 6 of 1806 in the hundredths place of the number, the decimal point falls between the 8 and the 0, as Dylan says.

The answer can be estimated as 6×3 = 18. So, it is appropriate to place the decimal point so the resulting value is near 18: 18.06. (Not 1.806 or 180.6.)

The multiplication algorithm for decimal numbers can be described as ...

Here, the only number with decimal places is 3.01, and it has 2. Thus, the answer should have 2 decimal places: 18.06.

to have more of what you want like money

step-by-step explanation:

save it by not spending on unnecessary stuff and have more

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.