HELM Book 1.2.6 exercises
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\nPart of HELM Book 1.2
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "Write the following numbers in scientific notation:
", "advice": "(a) $\\var{q1expr} = \\var{q1base} \\times \\var{10^q1idx} = \\var{q1base} \\times 10^{\\var{q1idx}}$
\n(b) $\\var{q2expr} = \\var{q2base} \\times \\var{10^q2idx} = \\var{q2base} \\times 10^{\\var{q2idx}}$
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\n(b) $\\var{q2expr} = $ [[2]] $\\times 10$[[3]]
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\nPart of HELM Book 1.2
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "Use your calculator to find
", "advice": "Multiply the two numbers together:
\n\\[\\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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