1.2.6.1 Calculate product of numbers in scientific notation

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Question statement

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			Name	Type	Generated Value

base	number	2.87
idx	integer	38
expr	expression	710^214.1*10^16
b1	decimal	dec("7")
i1	integer	21
b2	decimal	dec("4.1")
i2	integer	16
ans	string	2.87e+38

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Generated value: `number`

2.87

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2. Gap index Number entry
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$\var{Expr}$ = base $\times 10$ ^index

Advice

Multiply the two numbers together:

$\begin{align*} \var{expr}&= (\var{b1}\times\var{b2}) \times(10^{\var{i1}}\times 10^{\var{i2}})\\ &= (\var{b1*b2})\times 10^{(\var{i1}+\var{i2})}\\ &=\var{b1*b2}\times 10^{\var{i1+i2}}\\ \textrm{Now adjust if necessary so that}&\textrm{ there is exactly one digit in front of the decimal point:}\\ &=\var{base}\times 10^{\var{idx}}\end{align*}$

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This question is used in the following exams:

HELM Book 1.2 Mastery by Merryn Horrocks in HELM books.
HELM Book 1.2 Diagnostic by Merryn Horrocks in HELM books.
HELM Book 1.2 Indices by Merryn Horrocks in HELM books.
HELM Book 1.2.6 exercises by Merryn Horrocks in HELM books.

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1.2.6.1 Calculate product of numbers in scientific notation

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Merryn Horrocks 1 year, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Error in variable testing condition

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Generated value: `number`

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1.2.6.1 Calculate product of numbers in scientific notation

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Merryn Horrocks 1 year, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Merryn Horrocks 2 years, 10 months ago

Error in variable testing condition

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Warning

Generated value: number

Parts

Gap-fill

Generated value: `number`