What is a decimal?

A decimal is a numerical representation that uses a dot (or decimal point) to separate the whole number part from the fractional part. For example, in the number 3.75, 3 is the whole number and 0.75 is the fractional part.

How do you convert a fraction to a decimal?

To convert a fraction to a decimal, divide the numerator by the denominator. For example, to convert 3/4 to a decimal, you perform 3 ÷ 4 = 0.75.

What is the rule for adding decimals?

To add decimals, align the numbers by the decimal point and add as you would with whole numbers, placing the decimal point in the sum directly below the other decimal points. For example, 1.25 + 2.3 = 3.55.

Solve for x: 0.5x + 1.2 = 2.7.

Hint: Start by isolating x.

First, subtract 1.2 from both sides: 0.5x = 2.7 - 1.2, which simplifies to 0.5x = 1.5. Next, divide both sides by 0.5 to find x: x = 1.5 / 0.5 = 3.

Multiply: 0.6 × 0.04.

Hint: Multiply as if they are whole numbers, then adjust the decimal.

First, multiply 6 by 4 to get 24. There are a total of four decimal places in the factors (two in 0.6 and two in 0.04), so the product is 0.0024.

What is the rule for subtracting decimals?

To subtract decimals, align the numbers by the decimal point and subtract as you would with whole numbers, ensuring the decimal point in the difference is placed directly below the other decimal points.

Convert 0.875 to a fraction.

To convert 0.875 to a fraction, recognize that it equals 875/1000. Simplifying gives 7/8.

Divide: 4.5 ÷ 0.9.

Hint: Convert to whole numbers by multiplying both by the same power of ten.

Multiply both by 10 to convert to whole numbers: 45 ÷ 9 = 5.

What is the product of 0.2 and 0.5?

Hint: Multiply as if they are whole numbers, then adjust the decimal.

Multiply 2 by 5 to get 10. There are three decimal places in total, so the product is 0.10.

Solve for x: 0.25x = 1.5.

Hint: Divide both sides by 0.25.

Dividing both sides by 0.25 gives x = 1.5 / 0.25 = 6.

What is the decimal equivalent of 3/5?

To convert 3/5 to a decimal, divide 3 by 5, which equals 0.6.

What is the place value of 7 in the decimal 3.678?

The place value of 7 in the decimal 3.678 is 7 tenths, or 7/10.

Convert 0.125 to a fraction. Hint: Identify the place value of the last digit.

0.125 can be expressed as 125/1000. Simplifying this fraction gives 1/8.