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Compare Numbers in Standard Form

In this worksheet, students compare numbers written in standard form or as normal numbers.

'Compare Numbers in Standard Form' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Interpret/Compare Standard Form Numbers

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

Standard (index) form is a shorthand way of writing a very large or a very small number.

It is written as a  number between 1 and 10 (but not equal to 10) multiplied by a power of 10, for example 2.94 × 102 or 4.8 × 10-3.

In this worksheet, we must compare such numbers.

 

5830000 = 5.83 × 106

11223392 = 1.1223392 × 107

694000000 = 6.94 x 108

These numbers are in increasing order because 106 numbers are always smaller than 107 numbers etc...

So 5.83 × 106 < 1.1223392 × 107

Which symbol should be placed between these two numbers?

 

3.4 x 104      ?      1.2 x 106

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Which symbol should be placed between these two numbers?

 

3.4 x 106      ?      1.2 x 106

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=

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Which symbol should be placed between these two numbers?

 

3.4 x 10-6      ?      1.2 x 106

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Which symbol should be placed between these two numbers?

 

12000000     ?      1.2 x 106

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Which symbol should be placed between these two numbers?

 

3800000     ?      3.8 x 106

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Which symbol should be placed between these two numbers?

 

3.4 x 106      ?      3.5 x 105

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Which symbol should be placed between these two numbers?

 

3.4 x 1012      ?      3.5 x 1012

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Which symbol should be placed between these two numbers?

 

3.4 x 102      ?      340

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Which symbol should be placed between these two numbers?

 

3.4 x 1012      ?      3.5 x 10-12

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Which symbol should be placed between these two numbers?

 

9.9 x 104      ?      4.4 x 109

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  • Question 1

Which symbol should be placed between these two numbers?

 

3.4 x 104      ?      1.2 x 106

CORRECT ANSWER
<
EDDIE SAYS
34000 < 1200000
  • Question 2

Which symbol should be placed between these two numbers?

 

3.4 x 106      ?      1.2 x 106

CORRECT ANSWER
>
EDDIE SAYS
3400000 > 1200000
  • Question 3

Which symbol should be placed between these two numbers?

 

3.4 x 10-6      ?      1.2 x 106

CORRECT ANSWER
<
EDDIE SAYS
0.0000034 < 1200000
  • Question 4

Which symbol should be placed between these two numbers?

 

12000000     ?      1.2 x 106

CORRECT ANSWER
>
EDDIE SAYS
12000000 > 1200000
  • Question 5

Which symbol should be placed between these two numbers?

 

3800000     ?      3.8 x 106

CORRECT ANSWER
=
EDDIE SAYS
3800000 = 3800000
  • Question 6

Which symbol should be placed between these two numbers?

 

3.4 x 106      ?      3.5 x 105

CORRECT ANSWER
>
EDDIE SAYS
3400000 > 350000
  • Question 7

Which symbol should be placed between these two numbers?

 

3.4 x 1012      ?      3.5 x 1012

CORRECT ANSWER
<
EDDIE SAYS
3400000000000 < 3500000000000
  • Question 8

Which symbol should be placed between these two numbers?

 

3.4 x 102      ?      340

CORRECT ANSWER
=
EDDIE SAYS
340 = 340
  • Question 9

Which symbol should be placed between these two numbers?

 

3.4 x 1012      ?      3.5 x 10-12

CORRECT ANSWER
>
EDDIE SAYS
3400000000000 > 0.0000000000035
  • Question 10

Which symbol should be placed between these two numbers?

 

9.9 x 104      ?      4.4 x 109

CORRECT ANSWER
<
EDDIE SAYS
99000 < 4400000000
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