Math Lab: Lesson #1

Place Value

100

Write the following numbers in expanded form:

(a) 0.821

(b) 302.05

(a) 0.8 + 0.02 + 0.001

(b) 300 + 2 + 0.05

200

Considering the number 153.936, answer the following:

(a) What is the digit in the tenths place?

(b) What is value of the digit in the thousandths place?

(a) 9

(b) 0.006

300

Considering the number 153.936, answer the following: 

The value of the digit in the ones place is _____ times the value of digit in the hundredths place.

100 times

400

Solve the following and find the value of the digit in the hundredths place: 

588.5 ÷ 0.4

The value of the digit in the hundredths place in 1,471.25 is 0.05 

500

Solve the following and find the value of the digit in the tenths place: 

80.6 x 3.25

In the number 261.95, the value of the digit in the tenths place is 0.9

Order of Operations

100

Solve using the Order of Operations:

100 – 5 × 9 ÷ 3 

85

200

Solve using the Order of Operations:

35 ÷ 5 + 2 × 7

21

300

Solve using the Order of Operations:

(4 − 1 + 8 ÷ 8) × 5

20

400

Solve using the Order of Operations: 

8 − 1 − (18 − 2) ÷ 8

5

500

Solve using the Order of Operations: 

7 x (4² + 2 - 8)

70

Algebra

100

Solve for the value of r:

49 = 45 + r

r = 4

200

Solve for the value of r:

88 = 192 - r

r = 104

300

Solve for the value of z: 

z - 93 = 128

z = 221

400

Solve for the value of p: 

r + 3/4 = 19/4

r = 16/4

(Or, 4!)

500

Solve for the value of x: 

x - 0.56 = 2.93

x = 3.49

Fractions/Decimals

100

Write an equivalent fraction to 1/18. 

Answers vary. 

200

What is 5/6 + 3/30? 

28/30 

(Or, simplified: 14/15)

300

Solve the following: 

863.1 ÷ 0.2

4,315.5

400

Express 0.004 as a fraction in simplest form.

1/250

500

Express 7.625 as a mixed number in simplest form.

7 5/8

Mystery

100

What is the area of a triangle with a base of 19 mm and a height of 22 mm? 

209 mm²

200

Solve the following: 

?-1209 ÷ 31

-39

300

In a 5-day week, Jeremiah earned $30 on Monday, $47 on Tuesday, $41 on Wednesday, $29.50 on Thursday, and $50 on Friday. What is the mean amount that he earned?   

$39.50

400

Solve for the value of d: 

2/5d = 1/2

d = 1/5

500

Find the rate for each of the following: 

(a) 135 books in 5 boxes = ___ books per box 

(b) 8 songs in 28 minutes = ___ songs per minute

(c) 210 pens in 14 packs = ___ pens per pack  

(a) 27 books per box 

(b) 3.5 songs per minute 

(c) 15 pens per pack