Standard Index Form
Write the following numbers in standard index form.
1) 1520
2) 356000
3) 4130000
4) 78900
5) 18600000
6) 9600000
7) 52700000
8) 60700000
9) 716000
10) 483000000
11) 0.3
12) 0.41
13) 0.005
14) 0.067
15) 0.00084
16) 0.00421
17) 0.000056
18) 0.0000078
19) 0.00105
20) 0.00000836
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Write the following standard index form as actual numbers.
1) 3.4 X 10²
2) 7.12 X 10³
3) 4.56 X 10⁵
4) 1.07 X 10⁴
5) 8.42 X 10⁷
6) 9.05 X 10³
7) 6.31 X 10⁸
8) 2.47 X 10⁶
9) 4.94 X 10⁸
10) 2.115 X 10⁵
11) 1.32 X 10⁻³
12) 3.56 X 10⁻⁴
13) 7.24 X 10⁻⁴
14) 8.04 X 10⁻⁵
15) 6.35 X 10⁻⁵
16) 7.1 X 10⁻⁶
17) 8.9 X 10⁻⁵
18) 1.96 X 10⁻⁷
19) 4.13 X 10⁻⁶
20) 2.73 X 10⁻⁶
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Answers
Write the following numbers in standard index form.
1) 1520
1.52 X 10³
2) 356000
3.56 X 10⁵
3) 4130000 4.13 X 10⁶
4) 78900
7.89 X 10⁴
5) 18600000 1.86 X 10⁷
6) 9600000
9.6 X 10⁶
7) 52700000 5.27 X 10⁷
8) 60700000
6.07 X 10⁷
9) 716000
10) 483000000 4.83 X 10⁸
7.16 X 10⁵
11) 0.3
3 X 10⁻ⁱ
12) 0.41
4.1 X 10⁻ⁱ
13) 0.005
5 X 10⁻³
14) 0.067
6.7 X 10⁻²
15) 0.00084
8.4 X 10⁻⁴
16) 0.00421
4.21 X 10⁻³
17) 0.000056
5.6 X 10⁻⁵
18) 0.0000078 7.8 X 10⁻⁶
19) 0.00105
1.05 X 10⁻³
20) 0.00000836 8.36 X 10⁻⁶
Copyright © 2013 Maths Homework Help Online. All rights reserved.
Write the following standard index form as actual numbers.
1) 3.4 X 10²
340
2) 7.12 X 10³
7120
3) 4.56 X 10⁵
456000
4) 1.07 X 10⁴
10700
5) 8.42 X 10⁷
84200000
6) 9.05 X 10³
9050
7) 6.31 X 10⁸
631000000
8) 2.47 X 10⁶
2470000
9) 4.94 X 10⁸
494000000
10) 2.115 X 10⁵
211500
11) 1.32 X 10⁻³
0.00132
12) 3.56 X 10⁻⁴ 0.000356
13) 7.24 X 10⁻⁴ 0.000724
14) 8.04 X 10⁻⁵ 0.0000804
15) 6.35 X 10⁻⁵ 0.0000635
16) 7.1 X 10⁻⁶ 0.0000071
17) 8.9 X 10⁻⁵
18) 1.96 X 10⁻⁷ 0.000000196
0.000089
19) 4.13 X 10⁻⁶ 0.00000413
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20) 2.73 X 10⁻⁶ 0.00000273
Tips and Techniques
1. Read each question slowly. You may find it helpful to underline the numbers
and important information that will affect your answer.
For example: Find 23 more than 57?
2. If you do not understand the question straightaway, try reading it through a
couple of times until it makes sense.
3. Make sure you read the question carefully. Often, the words highlighted in
bold in the question will be the part you need to pay the most attention to, e.g.
Which country had the greatest increase in visitors from 2005 to 2006?
4. Even if you know the answer to the question without working it out on paper,
it is important to always show your working out in the box provided. You will
lose marks if you do not do this.
5. Always use a ruler when drawing shapes, symmetry or graphs.
6. Topics that are useful to revise;
* Time - 24 hour clock, adding a length of time e.g. 45 minutes to a certain time. An
example of a question where time is used is - "The time is one thirty in the afternoon.
Write this as it would be shown on a twenty-four hour clock?"
* Money - find the total amount of shopping items, how much change will you get from
a £5, £10 note etc.
* Number calculations - times tables, addition, subtraction, multiplication and division
methods.
* Measurement - how many metres in a kilometre, millilitres in a litre and grams in a
kilogram?
* Percentages and fractions - 1/2=0.5 or 50%, 1/4=0.25 or 25%, 3/4=0.75 or 75%,
1/3=0.33 or 33%, 1/5=0.2 or 20%
7. Check to see how many marks the question is worth. If it is worth more than
one mark, make sure you show your working out.
8. Use everyday objects to help your child practice certain topics. For example; a
shopping receipt can be good revision for money questions - adding totals and
finding change. Other useful objects that you could use are;
* Television Guide - Practice the time a programme starts, what time will it finish? how
long does the programme last?
* Weather Chart - Change in temperature - e.g. The temperature fell from 3 degrees
celsius to -4 degrees celsius. By how many degrees did the temperature fall?
* Measure yourself and other family members to practice height
(in cm,
metres), weight (in grams, kilograms), area of hands and feet. You could also calculate
the average family height, weight etc.
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