Rates

A car travelled 348 km in 4 hours .Write the unit rate that describes how fast the car was going.

348 4 4 4 87 1 The car travelled 87 km per hour.

Ratios

A ratio is comparison of measured quantities.

It can be written in two ways:

1. 5:6

2. 5/6

Proportions A proportion is a statement that two ratios are equal.

1. 4:6 = 2:3

2. 4/6 = 2/3

Fractions into Decimals Divide numerator with denominator

1. 2/5 = 0.4

2. 6/20 =0.3 Fractions into Percent

Change the fraction to decimal first. Then multiply the decimal by 100.

1. 4/5 = 0.4 =0.4 * 100

=40%

2. 8/40

=0.2 * 100

=20%

Decimals to fraction

Count the decimal places. Reduce

1. 0.432

=432/1000

=54/125

2. 1.52

=152/100

=76/50

=38/25

Decimal to Percent

Multiply with the decimal with 100.

1. 0.45

=0.45 * 100

=45%

2. 0.325

=0.325 * 100

=32.5%

Percent to Fraction

Take the fraction and place it over 100.

1. 25%

=25/100

=1/4

2. 16%

=16/100

=4/25 Percent to Decimal

Take the percent and place it over 100. Then, divide numerator with denominator.

1. 30%

=30/100

=0.3

2. 80%

=80/100

=0.8

Unit – Powers

We use powers to express repeated multiplication. “3” is the Base.

“5” is the exponent.

Writing powers

Write each of them as power.

1. 3 * 3 * 3 * 3

=

2.

=2 * 2 * 2 * 2

Importance of brackets.

Base = -2

Exponent = 4

Here the