Remelia

Maths Year 6 Measurement

Year 6 converting units to 3 decimal places

The objective: Convert between standard units of length, mass, volume and time, smaller→larger and larger→smaller, to 3 d.p..

The explanation, example and questions are the ones Remelia uses in the app; the questions are not taken from any test paper.

The idea

Every metric conversion is × or ÷ by 10, 100 or 1000. Deciding which direction is the only real decision.

How to do it

  1. Bigger unit to smaller: multiply.
  2. Smaller to bigger: divide.
  3. Sanity-check the size of the answer.

A worked example

0.75 litres = 750 ml.

Watch for

Going the wrong way. Ask whether the number should grow or shrink.

Try four questions

  1. Convert 3,073 ml into litres.

    Show the answer to question 1

    Answer: 3.073 litres

    Why:

    1,000 ml = 1 litre, so 3,073 ÷ 1,000 = 3.073 litres.

  2. Convert 83.1 litres into ml.

    Show the answer to question 2

    Answer: 83,100 ml

    Why:

    1 litre = 1,000 ml, so 83.1 × 1,000 = 83,100 ml.

  3. 11.5 m is 11 m and how many centimetres?

    Show the answer to question 3

    Answer: 50 cm (also accept 11 m 50 cm, 11 m and 50 cm)

    Why:

    The 11 m is the whole part; 0.5 m is what is left. 1 m = 100 cm, so 0.5 × 100 = 50 cm.

    So 11.5 m is 11 m 50 cm.

  4. Convert 206 g into kg.

    Show the answer to question 4

    Answer: 0.206 kg

    Why:

    1,000 g = 1 kg, so 206 ÷ 1,000 = 0.206 kg.

Answers

  1. 1. 3.073 litres
  2. 2. 83,100 ml
  3. 3. 50 cm (also accept 11 m 50 cm, 11 m and 50 cm)
  4. 4. 0.206 kg

The mistakes Remelia names

When a wrong answer to a question like these matches one of these mistakes, the app says what the child seems to have done before they try again.

  • Question 1, the answer 3,073,000: It looks as if you multiplied instead of dividing. Dividing by 10, 100 or 1,000 makes a number smaller: the digits move to the right.
  • Question 1, the answer 30.73: Your digits are right, but in the wrong columns: your answer is 10 times too big.
  • Question 1, the answer 0.3073: Your digits are right, but in the wrong columns: your answer is 10 times too small.
  • Question 2, the answer 0.0831: It looks as if you divided instead of multiplying. A smaller unit takes more of them to make the same amount, so the number gets bigger: the digits move to the left.
  • Question 3, the answer 5: It looks as if you copied the digits after the decimal point into the smaller unit. Those digits are part of one whole of the bigger unit, so change that part: 0.25 of 1,000 is 250, not 25.