Question

1. which of the following is equivalent to $76 \div 9$?

a) $\frac{9}{76}$
b) $8\frac{4}{9}$
c) $8\frac{1}{2}$
d) $8\frac{5}{9}$

1. find the value of the expression.

$2 \times (5 + 4) - 3 \times 4$
a) 6
b) 24
c) 48
d) 60

1. mr. conner is 6 feet tall. how tall is he in inches?

a) 84 inches
b) 72 inches
c) 68 inches
d) 60 inches

1. sung multiplied 892.65 by a power of ten and got the product 892,650.

by what power of ten did sung multiply 892.65?
a) $10^1$
b) $10^2$
c) $10^3$
d) $10^4$

Explanation:

Problem 1

Step1: Divide 76 by 9

Calculate quotient and remainder: $76 = 9\times8 + 4$

Step2: Write as mixed number

Express result as mixed fraction: $8\frac{4}{9}$

Problem 2

Step1: Solve parentheses first

Calculate inside the brackets: $5+4=9$

Step2: Perform multiplication operations

Compute products: $2\times9=18$, $3\times4=12$

Step3: Subtract the two results

Find the difference: $18-12=6$

Problem 3

Step1: Recall unit conversion factor

1 foot = 12 inches

Step2: Multiply height by conversion factor

Calculate total inches: $6\times12=72$

Problem 4

Step1: Set up division to find power

Divide product by original number: $\frac{892650}{892.65}=1000$

Step2: Express as power of 10

Rewrite 1000 as $10^3$

Answer:

1. B. $8\frac{4}{9}$
2. A. 6
3. B. 72 inches
4. C. $10^3$