Solving equations with decimals

Front

What is a decimal?

Back

A decimal is a fraction expressed in a special form. It uses a decimal point to separate the whole number part from the fractional part.

Front

How do you add decimals?

Back

Align the decimal points and add as you would whole numbers, placing the decimal point in the answer directly below the other decimal points.

Front

How do you subtract decimals?

Back

Align the decimal points and subtract as you would whole numbers, placing the decimal point in the answer directly below the other decimal points.

Front

What is the process to multiply decimals?

Back

Multiply as if they are whole numbers, then count the total number of decimal places in both factors and place the decimal point in the product accordingly.

Front

How do you divide decimals?

Back

Move the decimal point in the divisor to make it a whole number, then move the decimal point in the dividend the same number of places. Divide as usual.

Front

What is the first step in solving an equation with decimals?

Back

The first step is often to eliminate the decimals by multiplying the entire equation by a power of 10.

Front

Solve for x: x/2 - 2x/16 = 3/8

Back

x = 1

Front

Solve for x: 1.06x - 3 = 0.71

Back

x = 3.5

Front

Solve for a: 25.24 = 5a + 3.89

Back

a = 4.27

Front

Solve for g: 1.12 + 1.25g = 8.62

Back

g = 6