Question

Tasha wants to find the quotient of 1026÷27. She creates a table to show the products of 27 multiplied by different multiples of 10. How can Tasha use the table to estimate the quotient? what is the actual quotient? fill in the blanks to explain the method Tasha can use.​

Answer 1

Tasha can estimate the quotient of 1026 ÷ 27 by finding the closest product in a table of 27 multiplied by multiples of 10. The estimated quotient is
`\( (1026)/(30) \),` and the actual quotient is 38.

Certainly! Tasha can use the table to estimate the quotient by finding the closest product to 1026 and identifying the corresponding multiple of 10. Here's how she can do it:

1. Create a table showing the products of 27 multiplied by different multiples of 10:

\[

\begin{array}

\hline

\text{Multiple of 10} & \text{Product of } 27 \times \text{Multiple of 10} \\

\hline

10 & 270 \\

20 & 540 \\

30 & 810 \\

40 & 1080 \\

50 & 1350 \\

\hline

\end{array}

\]

2. Identify the product in the table that is closest to 1026. In this case, the closest product is 810, which corresponds to the multiple of 10, 30.

3. Estimate the quotient by using the identified multiple of 10. In this case, Tasha can estimate the quotient as
`\( (1026)/(30) \).`

Now, calculate the actual quotient:

`\[(1026)/(27) = 38\]`

So, Tasha's estimation using the table is
`\( (1026)/(30) \)`, and the actual quotient is
`\( (1026)/(27) = 38 \).`The estimation is close to the actual quotient and provides a quick way to get an approximate answer.