Math Quiz

Use parentheses to make each equation true. Then do the operations in the order you’ve shown to prove that you have placed the grouping symbols correctly. Show your work. a) 16 + 4 x 6 ÷ 4 = 30 b) 16 + 4 x 6 ÷ 4 = 10 c) 16 + 4 x 6 ÷ 4 = 22

Fill in the blanks to make each equation true. a) (3 x 4) x 7 = 21 x ____ b) (2 x 6) x ____ = (4 x 6) x 7 c) 56 x 9 = (50 x ____) + (6 x ____)d) 32 x 5 = (____ x 10) ÷ 2 e) (7 x (2 + 1)) + 5 = ____ f) ____ = [(8 + 2) x 16] - 6

Write a numerical expression to represent each statement below. Include any grouping symbols (such as parentheses) you need to make the expression as accurate as possible. a) To find 38 x 9, I find 38 times 10 and remove 1 group of 38. b) To find 16 x 13, I double 13 and halve 16, and then multiply.

Mark all the expressions below that are equivalent to 460,000.

• 46 x 10^4

• 0.46 x 10^3

• 460 x 10^2

• 4.6 x 10^5

Multiply each number by powers of ten. 38 x 10^3 = ____ 4,372 x 10^2 = ____ 6.1 x 10^3 = ____ 0.75 x 10^2 = ____ 65 x 10^4 = ____ 16.23 x 10^5 = ____

Sara made up 2 different rules for her function machine to follow. The first rule was double the input number. The second rule was double the input number and add 2. Follow Sara’s rules to complete the tables for the first 5 input/output pairs. (The letter n stands for the input number in both rules.)

Graph the first five input/output pairs for each of Sara's rules on the grid. Use a different color to graph the points for each rule. (Color in the boxes on the key to show which is which.)

Sara’s big sister says that the output numbers for the second rule are always 2 more than the corresponding output numbers for the first rule. Do you agree? Why or why not?

Describe what is happening to the number of zeros in these problems: 42 x 10^1 = 420, 42 x 10^2 = 4,200, 42 x 10^3 = 42,000, 42 x 10^4 = 420,000.

Explain why it works that way.