Estimate each of the following by first rounding each amount to the nearest dollar before calculating. a pens at $$ \$ 4.27 $$ each b the total of $$ \$ 5.99, \$ 4.78 $$ and $$ \$ 12.09 $$ c $$ \$ 56.67 $$ divided into three equal groups d $$ \$ 569.34 $$ less $$ \$ 123.85 $$ d

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Let's solve each part step by step by first rounding the amounts to the nearest dollar.

### a. Pens at $$ \$ 4.27 $$ each
1. Round $$ 4.27 $$ to the nearest dollar: 
   - $$ 4.27 $$ rounds to $$ 4 $$.
2. If we assume we want to buy $$ n $$ pens, the total cost would be $$ 4n $$.

### b. The total of $$ \$ 5.99, \$ 4.78 $$, and $$ \$ 12.09 $$
1. Round each amount:
   - $$ 5.99 $$ rounds to $$ 6 $$.
   - $$ 4.78 $$ rounds to $$ 5 $$.
   - $$ 12.09 $$ rounds to $$ 12 $$.
2. Calculate the total:
   $$
   6 + 5 + 12 = 23
   $$

### c. $$ \$ 56.67 $$ divided into three equal groups
1. Round $$ 56.67 $$ to the nearest dollar:
   - $$ 56.67 $$ rounds to $$ 57 $$.
2. Divide by $$ 3 $$:
   $$
   \frac{57}{3} = 19
   $$

### d. $$ \$ 569.34 $$ less $$ \$ 123.85 $$
1. Round each amount:
   - $$ 569.34 $$ rounds to $$ 569 $$.
   - $$ 123.85 $$ rounds to $$ 124 $$.
2. Calculate the difference:
   $$
   569 - 124 = 445
   $$

### Summary of Estimates
- a. Total cost of pens: $$ 4n $$ (depends on the number of pens)
- b. Total of $$ \$ 5.99, \$ 4.78, $$ and $$ \$ 12.09 $$: $$ 23 $$
- c. $$ \$ 56.67 $$ divided into three equal groups: $$ 19 $$
- d. $$ \$ 569.34 $$ less $$ \$ 123.85 $$: $$ 445 $$
- a. Each pen costs approximately \$4. - b. The total is about \$23. - c. Each group gets about \$19. - d. The difference is approximately \$445.

Estimate each of the following by first rounding each amount to the nearest dollar before calculating. a pens at \( \$ 4.27 \) each b the total of \( \$ 5.99, \$ 4.78 \) and \( \$ 12.09 \) c \( \$ 56.67 \) divided into three equal groups d \( \$ 569.34 \) less \( \$ 123.85 \) d

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