A number is in decimal form when the decimal point is shown and there are digits to the right of the decimal point.

Securing understanding of arithmetic procedures with integers and decimals

Maths

Pupils use their understanding of place value and fluency with decimals from this unit in order to extend this understanding to fractions.  In the future unit, pupils will be asked to compare and order both fractions and decimals and will assess when conversion is required.

The prior unit on factors, multiples, squares and cubes helped pupils build on their understanding that any positive integer can be expressed as a product of its factors. This skill is used here to explore multiplying and dividing with decimals.

Arithmetic procedures with integers and decimals

A number is in decimal form when the decimal point is shown and there are {{ }} to the right of the decimal point.

Four students work out the answer to £496 200 + £35 900. Only one student is right. Without using a calculator, select the student who is correct.

Select the number that is closest to the answer to the calculation 37 143 − 8786.

A pen costs £3.75. Use your calculator to work out the cost of 50 pens. 

A café sells coffee for £2.89, hot chocolate for £2.20 and flapjacks for 85p. Work out the cost of 3 coffees, 2 hot chocolates and 5 flapjacks.

A banana costs 32p, a bunch of grapes costs £3.65 and a bag of apples costs £1.99. Lucas buys 8 bananas, 2 bunches of grapes and 2 bags of apples. How much change should he get from £20? £{{ }}

Match each symbol with the correct digit to complete the calculation.

Match each operation on the left to the equivalent operations on the right.

Sam buys 6 boxes of chocolates. Each box costs £4.85. What is the total cost of the chocolates? 

Five Oak students buy a pizza together. The pizza costs £15.80. They share the cost equally. How much should each student pay? £{{ }}

Starter Quiz