NC6NS3 Lesson 7 Multiply Multi-Digit Decimals

Front

What is a multi-digit decimal?

Back

A multi-digit decimal is a number that has more than one digit to the right of the decimal point, such as 8.54 or 2.3.

Front

How do you multiply multi-digit decimals?

Back

To multiply multi-digit decimals, multiply the numbers as if they were whole numbers, then count the total number of decimal places in both factors and place the decimal point in the product accordingly.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width. For example, a wall that is 9.5 feet tall and 13.5 feet wide has an area of 9.5 x 13.5 = 128.25 square feet.

Front

How do you calculate the total distance traveled?

Back

To calculate the total distance traveled, multiply the distance of one complete trip by the number of trips taken. For example, if a trail is 8.54 miles long and someone rode around it 4 times, the total distance is 8.54 x 4 = 34.16 miles.

Front

What is the cost of buying multiple items at a unit price?

Back

To find the total cost of buying multiple items, multiply the unit price by the quantity purchased. For example, if gas costs $2.89 per gallon and you buy 10.5 gallons, the total cost is 2.89 x 10.5 = $30.35.

Front

What is the formula for finding the total cost of fabric?

Back

The total cost of fabric is found by multiplying the cost per meter by the number of meters purchased. For example, if fabric costs $3.57 per meter and 4.6 meters are bought, the total cost is 3.57 x 4.6 = $16.42.

Front

What does rounding to the nearest cent mean?

Back

Rounding to the nearest cent means adjusting a monetary amount to the closest hundredth place. For example, $30.349 would round to $30.35.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal as a fraction with the decimal number as the numerator and a power of 10 as the denominator. For example, 0.75 = 75/100 = 3/4.

Front

What is the significance of decimal places in multiplication?

Back

The number of decimal places in the product of two decimals is determined by the total number of decimal places in the factors. For example, multiplying 2.3 (1 decimal place) by 10.5 (1 decimal place) results in a product with 2 decimal places.

Front

What is a practical application of multiplying decimals?

Back

Multiplying decimals is used in real-life situations such as calculating costs, distances, and areas, making it essential for budgeting, travel planning, and construction.