# Understand Standard Form on a Calculator

In this worksheet, students will use a calculator in order to answer questions involving standard index form.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Calculators/Technology for Accuracy

Difficulty level:

### QUESTION 1 of 10

We use the   EXP  or  EE  button on a calculator to enter numbers written in standard index form.

For a negative index, we must use the  +/-  or the  (-)  key before entering the index number.

Example:

To enter 3.67 x 1014, press the following keys:

3.67

EXP

14

To enter 1.29 x 10-4, press the following keys:

1.29

EXP

+/-   or  (-)

4

Notice how your calculator displays numbers in standard form.

1.29   11  or  1.29  E11

is 1.29 x 1011 not 1.2911

Now let's put your knowledge to the test!

Use your calculator to work out:

3.14 x 102  +  2.63 x 104

5.77 × 106

2.6614 × 104

2.66144

Use your calculator to work out:

3.14 x 102  x  2.63 x 104

82.582 × 106

8.2 × 104

8.2582 × 106

Use your calculator to work out:

6.45 x 103  x  1.44 x 10-4

0.9288

92880000

9.288 × 107

Use your calculator to work out:

6.01 x 10-3  x  1.4 x 10-5

8.414

0.0008414

8.414 × 10-8

Use your calculator to work out:

6.1 x 103  x  1.4 x 10x  6 x 105

5.124 × 1014

5.12414

5.124

Use your calculator to work out:

4.8 x 10-3  -  2.6 x 10-4

4.54 × 106

4.54 × 10-3

4.54-3

Use your calculator to work out:

5 x 103  ÷  5 x 10-5

1.00 × 106

1006

100 million

Use your calculator to work out:

7 x 10-4  ÷  3.5 x 10-2

2

22

0.02

Use your calculator to work out:

3.2 x 103  x  2 x 10-4 -  1.44 x 103

-1439.36

63998560

6.3 × 107

Use your calculator to work out:

3.25 x 10-3  ÷  5 x 10-4 -  1.45 x 10-2

-144.935

6.4855

13.45215

• Question 1

Use your calculator to work out:

3.14 x 102  +  2.63 x 104

2.6614 × 104
EDDIE SAYS
3.14 EXP 2 + 2.63 EXP 4 = 2.6614 × 104 This method is straight-forward once you get to grips with what functions you need to use on you calculator!
• Question 2

Use your calculator to work out:

3.14 x 102  x  2.63 x 104

8.2582 × 106
EDDIE SAYS
3.14 EXP 2 × 2.63 EXP 4 = 8.2582 × 106 How are you getting on?
• Question 3

Use your calculator to work out:

6.45 x 103  x  1.44 x 10-4

0.9288
EDDIE SAYS
6.45 EXP 3 × 1.44 EXP (-) 4 = 0.9288 Did you remember to select the subtraction function on your calculator as this equation used a minus power?
• Question 4

Use your calculator to work out:

6.01 x 10-3  x  1.4 x 10-5

8.414 × 10-8
EDDIE SAYS
6.01 EXP (-) 3 × 1.4 EXP (-) 5 = 8.414 × 10-8 You're getting good at these!
• Question 5

Use your calculator to work out:

6.1 x 103  x  1.4 x 10x  6 x 105

5.124 × 1014
EDDIE SAYS
6.1 EXP 3 × 1.4 EXP 5 × 6 EXP 5 = 5.124 × 1014 Even when you are dealing with more values and functions, what you input into your calculator stays the same.
• Question 6

Use your calculator to work out:

4.8 x 10-3  -  2.6 x 10-4

4.54 × 10-3
EDDIE SAYS
4.8 EXP (-) 3 - 2.6 EXP (-) 4 = 4.54 × 10-3 You're now beyond halfway in this worksheet, keep pushing on!
• Question 7

Use your calculator to work out:

5 x 103  ÷  5 x 10-5

100 million
EDDIE SAYS
5 EXP 3 ÷ 5 EXP (-) 5 = 100,000,000 Which can also be written as 100 million! Well done if you recognised that.
• Question 8

Use your calculator to work out:

7 x 10-4  ÷  3.5 x 10-2

0.02
EDDIE SAYS
7 EXP (-) 4 ÷ 3.5 EXP (-) 2 = 0.02 Hopefully by now you are flying through these. Don't panic if you're still struggling, just look back at the introduction and read the in depth explanation.
• Question 9

Use your calculator to work out:

3.2 x 103  x  2 x 10-4 -  1.44 x 103

-1439.36
EDDIE SAYS
3.2 EXP 3 × 2 EXP (-) 4 - 1.44 EXP 3 = -1439.36
• Question 10

Use your calculator to work out:

3.25 x 10-3  ÷  5 x 10-4 -  1.45 x 10-2

6.4855
EDDIE SAYS
3.25 EXP (-) 3 ÷ 5 EXP (-) 4 - 1.45 EXP (-) 2 = 6.4855 Again, don't be concerned when presented with a question with more values or signs that expected. You still approach the question in the same way! Great focus, that's another activity ticked off.
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