Using index notation

The Maths Habit

  1. Write 7 × 7 × 7 in index form.

    73
  2. Write 64 as a multiplication.

    6 × 6 × 6 × 6
  3. Work out the value of 53

    125

Would you rather have £1000 now, or 1p that doubles every day for 30 days?

The 1p: after 30 doublings it is 230p, over £10 million

Work out 25.

Which is bigger: 26 or 62?

26 =2 × 2 × 2 × 2 × 2 × 2 = 64
62 =6 × 6 = 36
circle the bigger one, or same if they are equal
2662same

Which is bigger: 34 or 43?

34 =3 × 3 × 3 × 3 =81
43 =4 × 4 × 4 =64
circle the bigger one, or same if they are equal
3443same

Which is bigger: 26 or 62?

26 =2 × 2 × 2 × 2 × 2 × 2 = 64
62 =6 × 6 = 36
circle the bigger one, or same if they are equal
2662same

Which is bigger: 43 or 82?

43 =4 × 4 × 4 = 64
82 =8 × 8 = 64
circle the bigger one, or same if they are equal
4382same

Which is bigger: 26 or 62?

26 =2 × 2 × 2 × 2 × 2 × 2 = 64
62 =6 × 6 = 36
circle the bigger one, or same if they are equal
2662same

Which is bigger: 52 or 25?

52 =5 × 5 =25
25 =2 × 2 × 2 × 2 × 2 =32
circle the bigger one, or same if they are equal
5225same

Which is bigger: 26 or 62?

26 =2 × 2 × 2 × 2 × 2 × 2 = 64
62 =6 × 6 = 36
circle the bigger one, or same if they are equal
2662same

Which is bigger: 33 or 52?

33 =3 × 3 × 3 = 27
52 =5 × 5 = 25
circle the bigger one, or same if they are equal
3352same

Which is bigger: 26 or 62?

26 =2 × 2 × 2 × 2 × 2 × 2 = 64
62 =6 × 6 = 36
circle the bigger one, or same if they are equal
2662same

Which is bigger: 63 or 36?

63 =6 × 6 × 6 = 216
36 =3 × 3 × 3 × 3 × 3 × 3 = 729
circle the bigger one, or same if they are equal
6336same

Using index notation worksheet, page 1

Answer sheet

  1. Sam says 23 = 6. Explain the mistake.

    2 × 2 × 2 = 8
  2. Find two different powers that equal 64.

    26, 43 or 82

  1. Work out 35

    243
  2. Which is bigger, 27 or 72? Show how you know.

    27: 128 > 49
  3. Write 16 as a power of 2 and as a power of 4.

    24 and 42
Exit tickets to print