7. Decimal operations

Lesson

We've previously learned how to use a division algorithm with short division . Let's practice this concept.

Find the value of 856\div8.

Worked Solution

Idea summary

We can use short division to divide one number by another. We start dividing at the highest place value and carry any remainders to the next place value.

Sometimes when we divide whole numbers there is a remainder, this remainder can be expressed as a decimal. This video will show us how.

Find the value of 460\div8.

Worked Solution

Idea summary

When dividing a whole number using short division, if we have a remainder after dividing the units place we will end up with a decimal answer.

This video looks at short division and how to use short division when there is a remainder.

Find the value of 3653\div4.

Worked Solution

Idea summary

When dividing a whole number using short division, if we have a remainder, we can add a decimal point and add 0s after the decimal point to carry the remainders to until there are no more remainders.

This video looks at how to divide by a two digit number using short division. By remembering place value, we can divide each digit, working from left to right. We move from units to tenths and so on if necessary.

Find the value of 460\div25.

Worked Solution

Idea summary

When you are dividing, you always start with the digit that is farthest to the left. If you get to a digit that you can't divide into, make sure you put a placeholder zero in the answer, before moving to the next digit.

Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies