Unit 5 Preview Exponentials

Front

What is the process to convert a percentage to a decimal?

Back

To convert a percentage to a decimal, move the decimal point two places to the left. For example, 2.75% becomes 0.0275.

Front

What does multiplying by 0.98 do to a quantity?

Back

Multiplying by 0.98 decreases the quantity by 2%. For example, if you have $100 and multiply it by 0.98, you get $98.

Front

If you double a penny every day, how long will it take to reach $1,000,000?

Back

It will take about a month to reach $1,000,000 by doubling a penny every day.

Front

What is the value of 45.678 rounded to the nearest tenths place?

Back

45.678 rounded to the nearest tenths place is 45.7.

Front

What is an exponential growth pattern?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over time, leading to rapid increases.

Front

How do you calculate the total amount after n days of doubling a penny?

Back

The total amount after n days is calculated using the formula: Total = 0.01 * 2^n.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a fixed amount, while exponential growth increases by a percentage of the current amount.

Front

What does it mean to round a number?

Back

Rounding a number means adjusting it to a nearby value that is simpler or more convenient, often to a specified place value.

Front

How do you determine the nearest tenths place in a decimal?

Back

To find the nearest tenths place, look at the hundredths place. If it's 5 or more, round up; if it's less than 5, round down.

Front

What is the significance of the number 0.98 in financial calculations?

Back

0.98 represents a decrease of 2% in financial calculations, indicating a reduction in value.