Year 6 · Decimals · Summary

Year 6 Decimals: summary and key words

Chapter summary

Skill	Method
Place value	Each column is ten times bigger than the column on its right. Tenths, hundredths and thousandths come after the decimal point.
Multiplying and dividing by 10, 100, 1000	The digits move left when you multiply and right when you divide. The decimal point stays where it is.
Multiplying by a whole number	Multiply as if there were no point, then put the point back so the answer has the same number of decimal places.
Dividing by a whole number	Use long division. Bring down zeros after the point, and write the point in the answer when you reach it.
Rounding	Look at the digit to the right of the place you are rounding to. 5 or more: round up. Less than 5: keep the digit.
Problems	Estimate first, choose the operations, calculate, check the size of the answer, and round to the degree of accuracy asked for.

I can say the value of each digit in a number with up to three decimal places.
I can multiply and divide decimals by 10, 100 and 1000, and give the answer to three decimal places.
I can multiply a decimal with up to two decimal places by a whole number, using a written method.
I can divide a number by a whole number with long division, and give the answer to two decimal places.
I can round a number to a given degree of accuracy, and choose whether to round up or down in a problem.
I can check my answer by estimating or by using the inverse operation.

Decimal point: The dot that separates the ones from the tenths, hundredths and thousandths.
Tenths, hundredths, thousandths: The first three places after the decimal point, worth 0.1, 0.01 and 0.001.
Place value: The value of a digit, which depends on its column.
Decimal place: A digit after the decimal point. 4.25 has two decimal places.
Long division: A written method for dividing a number by a whole number, one digit at a time.
Dividend: The number being divided.
Divisor: The number you divide by.
Remainder: The amount left over after dividing.
Round: To make a number simpler by writing it to a given degree of accuracy.
Degree of accuracy: How close a rounded number is to the exact value, shown by the place it is rounded to.