7 (a) Write 3246000 in standard form - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 3
Question 8
7 (a) Write 3246000 in standard form.
(b) Write 4.96 x 10^3 as an ordinary number.
Asma was asked to compare the following two numbers.
A = 6.212 x 10^1 and B = 4... show full transcript
Worked Solution & Example Answer:7 (a) Write 3246000 in standard form - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 3
Step 1
Write 3246000 in standard form.
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Answer
To convert 3246000 into standard form, we can express it in the form of a×10n, where 1 ≤ a < 10.
First, we identify that the decimal point in 3246000 can be moved 6 places to the left to yield 3.246. Therefore, we can write:
3246000=3.246×106
Step 2
Write 4.96 x 10^3 as an ordinary number.
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Answer
To express 4.96 x 10^3 as an ordinary number, we multiply 4.96 by 1000. This can be calculated as:
4.96×103=4.96×1000=4960
Thus, the ordinary number is 4960.
Step 3
Is Asma correct? You must give a reason for your answer.
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Answer
Asma's statement "6.212 is bigger than 4.73 so A is bigger than B" is not entirely correct. While it is true that 6.212 is greater than 4.73, we must consider the powers of 10 for both A and B.
A is expressed as 6.212×101=62.12 and B as 4.73×100=4.73.
Since 10^1 (or 10) is greater than 10^0 (or 1), the higher power determines the significance. Therefore, A is indeed greater than B.
To summarize, Asma's observation is correct, but the reasoning is insufficient as she did not consider the impact of the powers of 10.
