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1. which of the following is equivalent to $76\\div9$? a $\frac{9}{76}$…

Question

  1. which of the following is equivalent to $76\div9$?

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.

$2\times(5 + 4)-3\times4$
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:

Step1: Divide 76 by 9

$76 \div 9 = 8$ remainder $4$, so it is $8\frac{4}{9}$

Step2: Evaluate the expression (PEMDAS)

First calculate parentheses: $5+4=9$
Then multiplication: $2\times9=18$, $3\times4=12$
Then subtraction: $18-12=6$

Step3: Convert feet to inches

1 foot = 12 inches, so $6\times12=72$ inches

Step4: Find power of 10

Count decimal shifts: $892.65$ to $892650$ shifts right 3 times, so $10^3$

Answer:

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