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Writing Numbers Using Powers of 10

In this worksheet, students write numbers as the sum of multiples of powers of 10.

'Writing Numbers Using Powers of 10' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet, we will learn how to write numbers as powers of 10.

 

Examples

100 can be written 102 (10×10)
1000 can be written 103 (10×10×10)
100000 can be written 105 (10×10×10×10×10)
1000000 can be written 106 (10×10×10×10×10×10)

 

The number 4839 can be written 4000 + 800 + 30 + 9
In other words 4 × 103 + 8 × 102 + 3 × 10 + 9

Write this number as multiples of powers of 10:

5051

6×103 + 5×101 + 1

5×102 + 5×101 + 1

5×103 + 5×101 + 1

5×103 + 5×101 + 5

Write this number as multiples of powers of 10:

1924

1×103 + 9×102 + 2×101 + 4

1×103 + 9×102 + 2×101 + 4

1×104 + 9×102 + 2×101 + 4

1×103 + 9×102 + 2×101 + 5

Write this number as multiples of powers of 10:

2582

2×103 + 5×102 + 8×101 + 3

2×103 + 5×102 + 8×101 + 2

5×103 + 5×102 + 8×101 + 2

2×103 + 5×102 + 8×101 + 1

Write this number as multiples of powers of 10:

5447

6×103 + 4×102 + 4×101 + 7

5×103 + 4×102 + 4×101 + 8

5×103 + 4×102 + 4×101 + 9

5×103 + 4×102 + 4×101 + 7

Write this number as multiples of powers of 10:

7199

7×103 + 1×102 + 9×101 + 9

7×104 + 1×102 + 9×101 + 9

8×103 + 1×102 + 9×101 + 9

9×103 + 1×102 + 9×101 + 9

Write this number as multiples of powers of 10:

9633

9×103 + 6×102 + 8×101 + 3

9×103 + 6×102 + 3×101 + 3

9×103 + 7×102 + 3×101 + 3

5×103 + 6×102 + 3×101 + 3

Write this number as multiples of powers of 10:

2573

2×103 + 3×102 + 7×101 + 3

2×103 + 4×102 + 7×101 + 2

2×103 + 5×102 + 7×101 + 3

2×103 + 6×102 + 7×101 + 3

Write this number as multiples of powers of 10:

9111

9×103 + 1×102 + 1×101 + 1

1×103 + 1×102 + 1×101 + 1

1×103 + 9×102 + 1×101 + 1

1×103 + 1×102 + 9×101 + 1

Write this number as multiples of powers of 10:

6882

8×103 + 8×102 + 8×101 + 2

8×103 + 8×102 + 8×101 + 8

6×103 + 8×102 + 8×101 + 2

6×103 + 6×102 + 8×101 + 2

Write this number as multiples of powers of 10:

6082

6×103 + 8×102 + 8×101 + 2

8×103 + 8×102 + 8×101 + 8

6×103 + 8×102 + 2

6×103 + 8×101 + 2

  • Question 1

Write this number as multiples of powers of 10:

5051

CORRECT ANSWER
5×103 + 5×101 + 1
EDDIE SAYS
Start by splitting the number up using place value 5051 = 5000 + 50 + 1 Then write each one as a power of 10 5000 = 5 x 103 50 = 5 x 101 5 x 103 + 5 x 101 + 1
  • Question 2

Write this number as multiples of powers of 10:

1924

CORRECT ANSWER
1×103 + 9×102 + 2×101 + 4
EDDIE SAYS
Start by splitting the number up using place value 1924 = 1000 + 900 + 20 + 4 Then write each one as a power of 10 1000 = 1 x 103 900 = 9 x 102 20 = 2 x 102 1 x 103 + 9 x 102 + 20 = 2 x 102 + 4
  • Question 3

Write this number as multiples of powers of 10:

2582

CORRECT ANSWER
2×103 + 5×102 + 8×101 + 2
EDDIE SAYS
Start by splitting the number up using place value 2582 = 2000 + 500 + 80 + 2 Then write each one as a power of 10
  • Question 4

Write this number as multiples of powers of 10:

5447

CORRECT ANSWER
5×103 + 4×102 + 4×101 + 7
EDDIE SAYS
Start by splitting the number up using place value 5447 = 5000 + 400 + 40 + 7 Then write each one as a power of 10
  • Question 5

Write this number as multiples of powers of 10:

7199

CORRECT ANSWER
7×103 + 1×102 + 9×101 + 9
EDDIE SAYS
Start by splitting the number up using place value 7199 = 7000 + 100 + 90 + 9 Then write each one as a power of 10
  • Question 6

Write this number as multiples of powers of 10:

9633

CORRECT ANSWER
9×103 + 6×102 + 3×101 + 3
EDDIE SAYS
Start by splitting the number up using place value Then write each one as a power of 10
  • Question 7

Write this number as multiples of powers of 10:

2573

CORRECT ANSWER
2×103 + 5×102 + 7×101 + 3
EDDIE SAYS
Start by splitting the number up using place value Then write each one as a power of 10
  • Question 8

Write this number as multiples of powers of 10:

9111

CORRECT ANSWER
9×103 + 1×102 + 1×101 + 1
EDDIE SAYS
Start by splitting the number up using place value Then write each one as a power of 10
  • Question 9

Write this number as multiples of powers of 10:

6882

CORRECT ANSWER
6×103 + 8×102 + 8×101 + 2
EDDIE SAYS
Start by splitting the number up using place value Then write each one as a power of 10
  • Question 10

Write this number as multiples of powers of 10:

6082

CORRECT ANSWER
6×103 + 8×101 + 2
EDDIE SAYS
Start by splitting the number up using place value Then write each one as a power of 10
---- OR ----

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