Question

5 solve each measurement equation.
a. \\(5\text{ lb.} - 9\text{ oz.} = \text{___ oz.}\\)
b. \\(12\text{ pk.} + 8\text{ bu.} = \text{___ bu.}\\)

6 follow the signs.
a. \\(\

$$\begin{array}{r} \\$83.75 \\\\ +\\$96.41 \\end{array}$$

\\)
b. \\(\

$$\begin{array}{r} \\$40.25 \\\\ \\times \\quad 52 \\end{array}$$

\\)
c. \\(3 \overline{) \\$89.07}\\)

7 write the product.
a. \\(\

$$\begin{array}{r} 6,905 \\\\ \\times \\quad 47 \\end{array}$$

\\)
b. \\(\

$$\begin{array}{r} 25,043 \\\\ \\times \\quad 608 \\end{array}$$

\\)
c. \\(\

$$\begin{array}{r} 962 \\\\ \\times 102 \\end{array}$$

\\)

deep dive
answer the question and explain. draw pictures to illustrate your answer.
which is bigger, \\(\frac{3}{3}\\) or \\(\frac{4}{4}\\)?

Explanation:

Solve measurement equations

Convert units to perform arithmetic:

• For 5a: \(1\text{ lb} = 16\text{ oz}\). Thus, \(5\text{ lb} - 9\text{ oz} = 5 \times 16\text{ oz} - 9\text{ oz} = 80\text{ oz} - 9\text{ oz} = 71\text{ oz}\).
• For 5b: \(4\text{ pk} = 1\text{ bu}\). Thus, \(12\text{ pk} + 8\text{ bu} = \frac{12}{4}\text{ bu} + 8\text{ bu} = 3\text{ bu} + 8\text{ bu} = 11\text{ bu}\).

Perform decimal and integer arithmetic

Calculate each arithmetic operation:

• For 6a: \(\$83.75 + \$96.41 = \$180.16\).
• For 6b: \(\$40.25 \times 52 = \$2093.00\).
• For 6c: \(\$89.07 \div 3 = \$29.69\).
• For 7a: \(6905 \times 47 = 324535\).
• For 7b: \(25043 \times 608 = 15226144\).
• For 7c: \(962 \times 102 = 98124\).

Compare fractions

Analyze the fractions in the Deep Dive section:

• \(\frac{3}{3} = 1\)
• \(\frac{4}{4} = 1\)
• Since both fractions equal 1, they are equal in size. Neither is bigger.

Answer:

Question 5

a. <blank>71</blank>
b. <blank>11</blank>

Question 6

a. \(\$180.16\)
b. \(\$2,093.00\)
c. \(\$29.69\)

Question 7

a. \(324,535\)
b. \(15,226,144\)
c. \(98,124\)

Deep Dive

They are equal. Both \(\frac{3}{3}\) and \(\frac{4}{4}\) are equal to \(1\).