Multiplication and Division of Decimals

Front

What is multiplication?

Back

Multiplication is a mathematical operation where a number is added to itself a certain number of times. For example, 3 multiplied by 4 (3 x 4) means adding 3 four times: 3 + 3 + 3 + 3 = 12.

Front

What is division?

Back

Division is a mathematical operation where a number is split into equal parts. For example, 12 divided by 3 (12 ÷ 3) means splitting 12 into 3 equal parts, which equals 4.

Front

How do you multiply a decimal by a whole number?

Back

To multiply a decimal by a whole number, multiply as if there are no decimals, then count the total number of decimal places in the numbers being multiplied and place the decimal point in the result accordingly.

Front

What is the cost of one item if a dozen costs $29.88?

Back

To find the cost of one item, divide the total cost by the number of items: $29.88 ÷ 12 = $2.49.

Front

How do you find the total earnings over several weeks?

Back

To find total earnings over several weeks, multiply the weekly earnings by the number of weeks. For example, if Monica earns $6.18 each week for 14 weeks, the total is $6.18 x 14 = $86.52.

Front

What does it mean to share equally?

Back

Sharing equally means dividing something into equal parts so that everyone gets the same amount. For example, if a bag of oranges costs $7.65 and is shared by 5 friends, each friend pays $7.65 ÷ 5 = $1.53.

Front

What is the expression for dividing a length into equal parts?

Back

To find the length of each part when dividing a total length into equal parts, use the expression: Total Length ÷ Number of Parts. For example, 19.2 units divided by 4 equals the length of each piece.

Front

What is a decimal?

Back

A decimal is a way of representing fractions in a base-10 system. It uses a decimal point to separate the whole number part from the fractional part. For example, 0.5 represents one-half.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, 1/2 = 1 ÷ 2 = 0.5.

Front

What is the relationship between multiplication and division?

Back

Multiplication and division are inverse operations. This means that if you multiply a number and then divide by the same number, you return to the original number. For example, 6 x 3 = 18 and 18 ÷ 3 = 6.