Tag: Maths

LI: How to subtract decimals using algorithims

This week for today we got to make a DLO about how to subtract decimals using algorithims, Subtracting decimals using the standard algorithm is all about precision and alignment. The golden rule is to align the decimal points vertically, which automatically lines up your place values (tenths, hundredths, etc.).  Step 1: Set Up the Problem Write the numbers vertically so that the decimal points line up directly on top of each other. The number you are subtracting from goes on top, and the number you are subtracting goes on the bottom. Step 2: (The Placeholder Step)If the numbers do not have the same number of decimal places, fill the empty spaces with zeros.

This changes the value of the numbers, but it keeps them mathematically comparable and makes borrowing much easier to visualize. Step 3: Subtract from Right to Left Begin subtracting the digits in the furthest right column, just like you would with whole numbers. Step 4: Drop the Decimal Point. Bring the decimal point straight down into your answer. Make sure it aligns perfectly with the decimal points in the problem above it. Step 5: Complete the Left Columns Finish subtracting the digits to the left of the decimal point. The Technique: Borrowing (Regrouping) Sometimes, the digit on the bottom is larger than the digit on top. When this happens, you must borrow from the next digit to the left.

LI: How to add decimals using algorithims

This week Group 1 have been learning about how to add decimals using algorithims. An example I could have is like 3.45 + 1.2. 1. Align the numbers vertically by the decimal pointLine up the decimals so that the tenths match with tenths, and ones match with ones. This shifts the numbers to the right or left, regardless of how many digits they have. 2. Add placeholder zeros (Optional but recommended)Add zeros to the right of the decimal point so both numbers have the same number of digits. This prevents careless column mistakes. 3. Add column by column from right to leftAdd the numbers in the rightmost column first: (5 + 0 = 5). 4. Continue adding the remaining columnsMove to the next column to the left: (4 + 2 = 6). Then, add the ones column: (3 + 1 = 4). 5. Drop the decimal point straight down. Place a decimal point in the final answer, directly aligned with the decimal points in the numbers you added. Key Rules: Never align by the right side: Unlike whole numbers, you should never align decimal numbers to the right-hand side. Whole numbers have hidden decimals: If you are adding a whole number to a decimal (e.g., (5 + 2.75), place a decimal point at the end of the whole number and add zeros as placeholders: (5.00 + 2.75). Regrouping (Carrying): If digits in a column add up to 10 or more, write down the last digit and carry the tens digit over to the next column to the left, exactly as you would with standard addition.

Group 2 in LS2 has been revising on decimal addition algorithm. In this blog I will be explaining how to use decimals in algorithm addition.

If you’re wanting to learn how to do this, I recommend learning basic addition algorithm as this is about the same, and learning that would make this much easier to master.

The first step is to put it in the right postition which will be showed in the later on DLO.

Second, would be to start from the right (decimal side) and add the numbers in the same row, then add the number. Remember if the number is 2 digits carry the tens to the next top number of the row.

Repeat this step until the last row and don’t forget the decimal point.

Group 2 in LS2 have been revising on round numbers up to the billions.

Rounding is a useful skill to estimate. In this blog, we will be teaching you how to round. You need to know place values were you can find our example in our earlier blogs. To round you need a base number, I’ll pick a random one. (482.119) if rounding and you see a question asking to round to the nearest tenth you need to realise that the “th” means that it is in the decimal, not the whole number. in this number rounding to the nearest tenth would be the 1 after the 9 in the decimal place. due to the number being higher than 4, we round up. which is rounding to the nearest tenth. which would be 20 in this case. This would change the number to 482.120. I hope that this blog has taught you how to round.

Group 2 of LS2 have been learning and some revising on “Lowest Common Multiples” (LCM). 

LCM consists of multiplication where you find the number in common between 2 numbers multiplication order. For an example you could use 4 and 7 up to 5 to find the LCM. You times both up to 5 and if there is the same number diagonal from eachother. (4, 8, 12, 16, 20.) and (7, 14, 21, 28, 35) in this case, there is no common multiple up to five. But if you know your four times tables if you add 2 on you can make it to 28, which the 7 times table has making it the answer.

For maths group two, the task was to learn how to solve place value problems and how to use place value in different areas. Place value is the place of a digit in a number that tells us how much it is worth. For example, if there was an equation that said what is 100 more than 4,628,297, the
The answer would be 4,628,397.

This weeks Maths, group 1 is learning how to identify highest common factors. Highest common factors is basically the largest whole numbers that divides into two or more numbers without any remainders. Remember, factors are numbers that we can multiply together to get a number. For example: 6 x 8 = 48.

LI: How to identify place value up to the billions and three decimal places

For maths group one’s task was to learn how to solve place value problems and how we use place value in different area’s.  Place value is the place of a digit in a number that tells us how much it is worth. The number system is based on groups of ten, which means each place in a number is ten times bigger than the one to its right. Place value also has decimals, which help us show numbers that are smaller than one whole. The decimal point separates the whole number part from the smaller parts. To the right of the decimal point, each place value becomes ten times smaller than the one before it.