Miss Antonucci's 2nd Midterm Review

Fraction to Decimal

100

Convert to a decimal:

1/10

0.1

200

Convert to a decimal:

5/6

0.8333333333333

(will take answer of 0.83 repeating)

300

Convert to a decimal:

3/4

Rational or irrational?

0.75

Rational

400

Convert to a decimal:

3/2

Rational or irrational?

1.5

Rational

500

Convert to a decimal:

2/7

Rational or irrational?

0.285714 repeating

Rational

Rational or Irrational?

100

Rational or irrational?

Square root of 1.6

Irrational

200

Rational or irrational?

0.21 repeating

Rational

300

Rational or irrational?

0.30300300030000....

Irrational

400

Which choice is rational?

a. pi    b. square root of 1.6

c. 27/4     d. square root of 17

c. 27/4

500

What is the irrational number:

a. -3     b. 7/8     

c. square root of 8     d. 0.97

c. square root of 8

Scientific Notation

100

Convert to scientific notation:

0.0000971

9.71 x 10^-5

200

Convert to standard form:

2.13 x 10⁸

213,000,000

300

Which is correctly written in scientific notation:

a. 50.61 x 10⁴

b. 9.008 x 10^-2

c. 0.0002 x 10³

d. 632 x 10⁸

b. 9.008 x 10^-2

400

What is the number one rule when converting from standard form to scientific notation?

There needs to be ONE NON ZERO DIGIT to the left of the decimal.

500

When converting from standard form to scientific notation:

(answer all questions)

1. When you move the decimal left, your exponent is ____________.

2. When you move the decimal right, your exponent is ___________.

3. What number is ALWAYS the base your exponent is attached to in scientific notation?

1. Positive

2. Negative

3. Base of 10

Factor

100

Factor:

3x + 12

3 (x + 4)

200

Factor:

2xy - 6x

2x (y - 3)

300

Factor:

-2x + 6

-2 (x - 3)

400

Factor:

9x + 36

9 (x + 4)

500

Factor:

3x² + 6xy + 9xy²

3x (x + 2y + 3y²)

Fractions

100

Ben eats approximately 2400 calories per day. His wife Sarah eats 5/8 as much as him. How many calories does Sarah eat per day?

Sarah eats 1,500 calories per day.

200

Solve:

2/4 + 2/5 + 2/10

11/10 

or

1 and 1/10

300

Roman ran 2 and 3/4 miles at track practice. Damien ran 4 and 2/7 miles. How many miles did they run in total?

7.0357 = 7 and 1/28

400

Solve:

1/3 - 3/4 divided by 1 - 2/7

-7/12

500

Miss Antonucci worked out 1 and 6/8 hours on Monday. On Tuesday, she worked out 3/4 of an hour. How many total hours did she work out over the two days?

She worked out 2 and 1/2 hours in the two days.