Question

Oliver has five pieces of string that are each 4 2/12 feet long destiny has four pieces of string that are each five 14/16 ft long use an estimation strategy to determine who has the most string choose the name and number to complete the statement A Oliver B destiny is estimated to have A 1 B 2 C 3 D 4 E 5 F 6 G 7 H 8 I 9 J 10 more feet of string

Answer 1

First, let's round the lengths of the strings to make estimation easier.

**For Oliver:**
Each piece of string is \(4 \frac{2}{12} \text{ feet}\).
To simplify, we can convert \( \frac{2}{12} \) to \( \frac{1}{6} \). Thus, \(4 \frac{2}{12} = 4 \frac{1}{6}\) is approximately \(4 \text{ feet}\) for estimation purposes.
For 5 pieces of string:
- \(5 \times 4 = 20 \text{ feet}\)

**For Destiny:**
Each piece of string is \(5 \frac{14}{16} \text{ feet}\).
The fraction \( \frac{14}{16} \) simplifies to \( \frac{7}{8} \). Thus, \(5 \frac{14}{16} = 5 \frac{7}{8}\) is approximately \(6 \text{ feet}\) for estimation purposes.
For 4 pieces of string:
- \(4 \times 6 = 24 \text{ feet}\)

**Comparing the totals:**
- Oliver's total is approximately \(20 \text{ feet}\).
- Destiny's total is approximately \(24 \text{ feet}\).

Now we can determine who has more string:
- Destiny is estimated to have \(24 - 20 = 4\) more feet of string than Oliver.

Thus, filling in the statement:

**Destiny is estimated to have D 4 more feet of string.**