Math · Numbers and calculations

Number lines to one million

Find the step size and read points between labelled numbers.

12 min to read and practice

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240,000245,000250,000255,000260,000+ 5 00020 000 ÷ 4 = 5 000
Five ticks and four equal spaces from 240,000 to 260,000. Each step is 5,000.

Equal spaces, equal steps

On a correctly scaled number line, equal spaces represent equal numerical differences. Larger numbers are to the right; smaller numbers are to the left. Do not assume every tick means one.

Count spaces

If 240,000 and 260,000 are four equal spaces apart, the total difference is 20,000. Each space is 20,000 ÷ 4 = 5,000. Count the spaces between ticks, not the ticks themselves.

Approximate or exact

A point on a marked tick gives an exact number when the step is known. For a rough sketch between ticks without a precise position, state the interval rather than inventing an exact value.

Worked examples

240 000 → 245 000 → 250 000 → 255 000 → 260 000

Five ticks make four spaces. The step is 5,000.

780 000 → 790 000 → 800 000 → 810 000

Each jump adds 10,000, including the crossing of 800,000.

Try it yourself

Your turn

Type the missing word, number, or sign. Spaces in large numbers are allowed. Try first, then open the explanation.

Answer and explanation

5000. 30,000 ÷ 6 = 5,000.

Answer and explanation

390000. 360,000 + 30,000 = 390,000.

Answer and explanation

500000. 510,000 − 10,000 = 500,000.

Answer and explanation

430000. Half the difference is 10,000.

Draw a line from 300,000 to 340,000 with four equal spaces. Label every tick.

See an example answer

300,000; 310,000; 320,000; 330,000; 340,000. The step is 10,000.

Check your knowledge

Choose one answer for each question. You can revise your answers and check again.

1. How many spaces lie between five consecutive ticks?
2. The step is 2,000. What comes after 116,000?
3. In which direction do the numbers increase?
4. There are 10 equal spaces from 600,000 to 700,000. The step is:
5. What is two 10,000-steps left of 1,000,000?

Answer key
  1. 4. A space lies between two neighbouring ticks.
  2. 118 000. 116,000 + 2,000 = 118,000.
  3. To the right. On this standard horizontal line, greater numbers are to the right.
  4. 10 000. 100,000 ÷ 10 = 10,000.
  5. 980 000. Subtract a total of 20,000.

Connect learning and practice

Review an explanation or try a related activity. Choose what you need next.