- #HOW DO YOU DO DIVISION PROBLEMS HOW TO#
- #HOW DO YOU DO DIVISION PROBLEMS PLUS#
- #HOW DO YOU DO DIVISION PROBLEMS SERIES#
We can see that 5 goes into 48 a whole number (9) times, but not exactly, with 3 left over. Remember, we are interested in the whole number of times that 5 goes into 48. If we refer to our multiplication table, we can see that 9 × 5 = 45 and 10 × 5 = 50.Ĥ8, the number we’re looking for, falls between these two values. However, we need to find out how many times it goes. Now we can see how many times 5 goes into 48.ĥ does go into 48 as 48 is greater than 5. Next, we move to the right to include the tens column. For help with the hundreds, tens and units columns see our page on numbers. Since 5 does not go into 4 we put a 0 in the first (hundreds) column. It doesn’t have to be an exact whole number, as you will see. The number we are dividing by (in this case 5) needs to go into the number we are dividing into (in this case 4) a whole number of times. We know that 2 goes into 4 twice (4 ÷ 2 = 2) and we know that 1 goes into 4 four times (4 ÷ 1 = 4), but 5 does not go into 4 because 5 is larger than 4. Another way of looking at this is to say, ‘how many times does 5 go into 4?’. The language we use in maths can be confusing. 4 does not divide by 5 to leave a whole number, as 5 is greater than 4. We start by dividing 4 by 5 and immediately hit a problem. We work from left to right in a logical system. This is the same as saying how many times will 5 go into 480? The problem we need to calculate here is 480 ÷ 5.
#HOW DO YOU DO DIVISION PROBLEMS PLUS#
He needs to replace all four tyres on the car, plus the spare.ĭave has had a quote from a local garage for £480 to include the tyres, fitting and disposal of the old tyres. Division can look daunting but in fact, as with most arithmetic, it is logical.Īs with all mathematics, it is easiest to understand if we work through an example:ĭave’s car needs new tyres. This is helpful when you don’t have a calculator to hand, but is also essential for making sure that you use the calculator correctly and don’t make mistakes.
#HOW DO YOU DO DIVISION PROBLEMS HOW TO#
However, it is important to understand how to perform division calculations manually. You can use a calculator to perform division calculations, especially when you are dividing larger numbers that are more difficult to work out in your head. Work down the column until you find the number you are looking for, 10. Move across the row to the left to see the answer (the red shaded heading) 5. In the example above we needed to calculate 10 ÷ 2. To do this, using the multiplication table locate the column for 2 (the red shaded heading). The multiplication table (see multiplication) can be used to help us find the answer to simple division calculations. That is, how many times does 2 go into 10, or how many lots of two gallons are there in ten gallons? 10 ÷ 2 = 5. 2 - 2 = 0Ī quicker way of performing this calculation would be to divide 10 by 2.
#HOW DO YOU DO DIVISION PROBLEMS SERIES#
We can work this problem out by doing a series of subtractions, or by counting backwards in steps of 2. If John has 10 gallons of fuel in his car and uses 2 gallons a day how many days before he runs out? Just as multiplication is a quick way of calculating multiple additions, division is a quick way of performing multiple subtractions. See our page Fractions for more information. Ten sweets divided by two children is very different to 2 sweets divided by 10 children.Īll fractions such as ½, ¼ and ¾ are division sums. Numbers must be divided in the correct order. Twenty sweets divided by twenty children - each child gets one sweet. 2 ÷ 2 = 1.Īny number divided by the same number is 1. When you divide by 2 you are halving the number. When you divide by 1, the answer is the same as the number you were dividing. You have 2 sweets but no children to divide them among. When you divide a number by 0 you are not dividing at all (this is quite a problem in mathematics). That is 0 sweets shared equally among 2 children - each child gets 0 sweets. When you divide 0 by another number the answer is always 0. Understanding Statistical Distributions.Area, Surface Area and Volume Reference Sheet.Simple Transformations of 2-Dimensional Shapes.Polar, Cylindrical and Spherical Coordinates.Introduction to Cartesian Coordinate Systems.Introduction to Geometry: Points, Lines and Planes.Percentage Change | Increase and Decrease.Mental Arithmetic – Basic Mental Maths Hacks.Ordering Mathematical Operations - BODMAS.Common Mathematical Symbols and Terminology.Special Numbers and Mathematical Concepts.
How Good Are Your Numeracy Skills? Numeracy Quiz.