Question

with decimals
study the example showing how to estimate a difference using decimal grids.
then solve problems 1–4.
example
latasha has 2.73 liters of apple cider. she wants to have about 5.5 liters for her party.
about how much more cider does latasha need?
one way to estimate is to round to the nearest tenth.
5.5 is given to the nearest tenth. 2.73 is about 2.7.
latasha needs about 2.8 liters more of apple cider.
1 look at the example. does this situation require an exact answer, or is the estimate enough? explain.
2 suppose latasha wants to have exactly 5.5 liters of apple cider for her pa
how much more apple cider does she need? show your work.

Explanation:

Sub - question 1

The situation is about Latasha wanting to have about 5.5 liters of apple cider for her party. When dealing with party - related quantities of a beverage like apple cider, an estimate is sufficient. This is because she is asking for an approximate amount ("about") and in practical party - planning scenarios, a precise measurement down to the hundredth or thousandth of a liter is not necessary. Having a rough idea of how much more cider she needs (the estimate) will work for her to know if she has enough or needs to get more, without the need for an exact calculation.

Step 1: Identify the formula

To find out how much more apple cider Latasha needs, we use the formula: Amount needed = Desired amount - Amount available. Here, the desired amount is 5.5 liters and the amount available is 2.73 liters.

Step 2: Perform the subtraction

We calculate $5.5 - 2.73$. First, we can rewrite 5.5 as 5.50 to have the same number of decimal places. Then we subtract:
\[

$$\begin{align*} 5.50-2.73&=(5 + 0.50)-(2+0.73)\\ &=(5 - 2)+(0.50 - 0.73)\\ &=3+( - 0.23)\\ &=2.77 \end{align*}$$

\]

Answer:

The estimate is enough. Because Latasha wants "about" 5.5 liters for her party, and in a party - planning context for a beverage like apple cider, a precise exact answer is not necessary; an approximate amount (the estimate) will suffice for her to determine how much more she needs.

Sub - question 2