The following question has two parts. First, answer part A. Then, answer part B.
A fortune cookie has these dimensions.
A purple rectangle is shown. Its height is labeled as five-eighths, and its length is labeled as 2 and one-half.
Part A
Jonathan says he knows that
1
2
of
2
1
2
is
1
1
4
. And he knows that
5
8
is almost one half if you use estimation. But he is not sure whether
5
8
×
2
1
2
will be more or less than
1
1
4
.
Select the correct option.
A.
5
8
×
2
1
2
is equal to
1
1
4
B.
5
8
×
2
1
2
is less than
1
1
4
C.
5
8
×
2
1
2
is more than
1
1
4
D.
It is not possible to say using estimation.
Part B
Calculate the area of the fortune cookie.
A.
1
5
8
square inches
B.
1
25
16
square inches
C.
1
9
16
square inches
D.
1
25
16
square inches
Part A: B. 5/8 x 2 1/2 is less than 1 1/4.
Part B: C. The area of the rectangle can be calculated by multiplying the length and height: 2 1/2 x 5/8 = 5/4 or 1 1/4. Therefore, the area of the rectangle is 1 1/4 square inches.
Part A
To determine whether 5/8 × 2 1/2 is more or less than 1/4, we can use estimation.
Estimating 5/8 to the nearest 1/2, we can consider it as 1/2.
So, 5/8 × 2 1/2 is approximately 1/2 × 2 1/2 = 5/4.
Since 5/4 is greater than 1/4, the answer is:
C. 5/8 × 2 1/2 is more than 1/4.
Part B
To calculate the area of the fortune cookie, we need to multiply its length by its height.
The length is given as 2 1/2 and the height is given as 5/8.
To multiply mixed numbers, we can convert them to improper fractions:
2 1/2 = 5/2
Now, we can multiply the fractions:
(5/2) × (5/8) = (5 × 5) / (2 × 8) = 25/16
So, the area of the fortune cookie is:
B. 25/16 square inches.
Part A:
The question asks whether 5/8 × 2 1/2 is more or less than 1/4.
To estimate the result, let's round 5/8 to the nearest half, which is 1/2. Also, let's round 2 1/2 to the nearest whole number, which is 3.
Now we have 1/2 × 3 = 3/2.
Comparing 3/2 with 1/4:
3/2 is greater than 1/4, so the answer is:
C. 5/8 × 2 1/2 is more than 1/4.
Part B:
To calculate the area of the fortune cookie, we need to multiply the length (2 1/2) by the height (5/8).
First, let's write 2 1/2 as an improper fraction.
2 1/2 = 5/2
Now we can multiply:
5/8 × 5/2 = 25/16
So, the area of the fortune cookie is:
B. 25/16 square inches.