Category: Multiply and Divide Decimals
-
Average of Two Numbers
Definition Average is a number that represents a group of numbers. It is calculated by adding up all the numbers, then dividing the total by the count of numbers. In other words, it is the sum divided by the count. Average of two numbers is given by the sum of the two numbers divided by…
-
Division of a Decimal by a Power of 0.1
Definition A power of 0.1 is 10 raised to a negative whole number as follows 0.1 = 101; 0.12 = 102 = 0.01; 0.13 = 103 = 0.001 and so on. A power of a 0.1 has one preceded by zeros with as many decimal places as the power of 0.1. For example, 0.12 is equal to 0.01 which has as many decimal…
-
Division of a Decimal by a Power of Ten
Definition A power of ten is 10 raised to a whole number. For example, 101 = 10; 102 = 100; 103 = 1000 and so on. A power of a ten has one followed by as many zeros as the power. For example, 102 is equal to one followed by two zeros, i.e., 100. Formula The quotient of a…
-
Division of a Decimal by a 2-digit Decimal
Introduction Division of a decimal by a decimal is similar to whole number division. Rules for Decimal Division Problem 1 Divide 96.2 ÷ 0.52 Solution Step 1: 96.2 has one decimal place. 0.52 has two decimal places. So we make 96.2 have two decimal places by putting a zero to the right of 2 to…
-
Division of a Decimal by a 1-digit Decimal
Introduction Division of a decimal by a decimal is similar to whole number division. Rules for Decimal Division Consider the following examples of division of a decimal by a 1-digit decimal Problem 1 Divide 101.6 ÷ 0.8 Solution Step 1: 101.6 has one decimal place. 0.8 has one decimal place. Here we move the decimal…
-
Whole Number Division
Introduction Division of whole numbers by whole numbers sometimes leaves remainders and such long division if continued results in decimal numbers as quotients. Here we are dealing with examples of such whole number divisions with decimal quotients. Problem 1 Solution Problem 2 Solution Problem 3 Solution
-
Multiple Decimal Operations
Problem 1 For first two days it snowed 2.6 centimeters each day. The next three days, it snowed 3.4 centimeters each day. How much did it snow on those five days? Solution Step 1: Amount of snowfall on first two days = 2 2.6 = 5.2 cm Amount of snowfall on next three days =…
-
Multiplication of Two Decimals
Problem 1 Daniel earns $8.80 per hour at his part-time job. On Sunday, he worked 5.5 hours. What were his total earnings for the day? Solution Step 1: Earnings per hour = $8.80 Number of hours worked = 5.5 Step 2: Total earnings = 5.5 8.80 = $48.40 Problem 2 Nora ordered 9 pizzas. Each pizza…
-
Multiplication of Decimals Product Less Than 0.1
Introduction Multiplication of a decimal by another decimal is similar to whole number multiplication. Rules for Multiplication of a Decimal by another Decimal In this lesson, we are solving problems that involve multiplication of decimals that have a product less than 0.1 Problem 1 Multiply 0.3 0.23 Solution Step 1: 0.3 0.23 0.3 has one…
-
Multiplication of a Decimal by a Power of 0.1
Definition A power of 0.1 is 10 raised to a negative whole number as follows 0.1 = 101; 0.12 = 102 = 0.01; 0.13 = 103 = 0.001 and so on. A power of a 0.1 has one preceded by zeros with as many decimal places as the power of 0.1.For example, 0.12 is equal to 0.01 which has as many decimal places 2 as…