Vaughan's Mathematicians

Place Value

100

Write: (3 x 1,000) + (7 x 10) + (5 x 1) + (6 x 1/10) + (8 x 1/1000) in STANDARD FORM

3,075.608

200

Jonathan & Marlon disagree on the answer to the following expression: 16.45 x 10²

Jonathan says the product is .1645 because you need to move the decimal two times.

Marlon says the product is 1,645 because you move the decimal two times to the right since you're multiplying.

Who's correct and how do you know?

Marlon is correct because 10 means 10x10, which = 100. So, you move your decimal place two times to the right, because that gets you a greater number. Jonathan's number is 100 times SMALLER, instead of larger.

300

Write the mystery number:

I have a 3 in the ones place

My tenths place is 15/3

My 8 is 100x the 3

I have a 0 in the missing place

803.5

400

Which expression will have the LARGEST answer?

A) 0.34 x 10³

B) 3.4 x 10²

C) .00034 x 10⁶

D) 34 x 10²

D) 34 x 10²     

because 34 x 10² = 3,400

500

Write the mystery number & then WRITE AS A MIXED NUMBER:

I have an 8 in the tens place

My ones place is 3²

My 7 is 1/100 the 8

My 4 is 1,000 times the 7

489.7 =

489 7/10

Multiplication

100

328 x 14

4,592

200

45 x 8.9 

400.5

300

3.451 x .78

2.69178

400

2 1/4  x  5 1/2

12 3/8

500

(2.4 x 10²) + (4.5 x 3²⁾

280.5

Division

100

Write your quotient as a mixed number:

125/4

31 1/4

200

Write your quotient as a decimal (only go the 1/100):

652/30

21.73

300

3452.8/2

1,726.4

400

5 1/2 / 3/4

44/6 = 7 2/6 = 7 1/3

500

Write the quotient as a mixed number AND a decimal:

75.048/1.2

62 54/100

and 62.54

Fractions

100

4/5 + 2/3 

22/15 or 1 7/15

200

Write your final answer as a mixed number:

5 1/2 - 1 2/3

3 5/6

300

Solve and then simplify your answer:

6 4/5 + 2 1/4

9.05 or 

9 1/20

400

Simplify your answer:

2 1/3 + 1/2 - 1/3

2 1/2

500

Simplify your answer: 

(3 2/10 + 4/5) x 10^2

400

Random

100

Round 45.678 to the nearest tenth

45.7 = 45.700

200

Find the volume of a cube that has a length of 13 inches, a width of 5 in. and a height of 4.2 in.

*Make sure your answer includes the unit and whether it's cubed or squared

273 inches cubed

300

What are the names of BOTH of Ms. Vaughan's dogs?

Tyga and Nani

400

What is the volume of a cube if the base is 15 feet and the height is 7.1 feet?

106.5 feet³

500

A girl fell off a 100-foot ladder but she wasn't hurt. Why?

She fell off the bottom step.