Skip to main content
Global

1.2: Idadi kulinganisha kwa kutumia <, >, na =

  • Page ID
    164662
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    Mstari wa nambari ni kulinganisha namba. Hapa ni alama zinazotumiwa wakati wa kulinganisha namba mbili au zaidi:

    Alama kutumika Soma kama
    \(<\) chini ya
    \(\leq\) chini ya au sawa na
    \(>\) kubwa kuliko
    \(\geq\) zaidi basi au sawa na
    \(=\) sawa

    Tahadhari:\(\leq\) na\(\geq\) hutumiwa kama namba zinazolinganishwa zinatimiza angalau moja ya masharti mawili.

    Kumbuka: Kuhamia zaidi upande wa kushoto wa asili, namba zinapungua kwa thamani. Kuhamia zaidi kwa haki ya asili, idadi zinaongezeka kwa thamani.

    Taarifa Sababu
    \(−3 < −2\) Tangu -3 ni zaidi ya kushoto ya -2
    \(5 > 1\) Tangu 5 ni zaidi ya haki ya 1
    \(2 > −6\) Tangu 2 ni zaidi na haki ya -6
    \(3 \geq 3\) 3 si kubwa kuliko 3, lakini ni sawa!

    Kidokezo: Ishara\(>\) inaelezea mwelekeo sahihi. Nambari katika mwelekeo sahihi zinaongezeka hivyo tumia alama hii wakati namba ya kwanza ni kubwa kuliko namba ya pili. Fikiria vile vile kwa chini ya. (\(<\)akizungumzia kushoto hivyo chini ya)

    Kwa mazoezi yafuatayo kulinganisha namba zifuatazo na kujaza tupu kwa kutumia ishara sahihi\(<\),\(>\),\(\geq\),\(\leq\) au\(=\)

    1. \(−1\underline{\qquad} 4\)
    2. \(−4\underline{\qquad} 9\)
    3. \(0\underline{\qquad} −2\)
    4. \(3\underline{\qquad} 3\)
    5. \(−12\underline{\qquad} 12\)
    6. \(4\underline{\qquad} 6\)
    7. \(−1\underline{\qquad} -1\)
    8. \(5\underline{\qquad} −2\)
    9. \(35\underline{\qquad} 53\)
    10. \(−29\underline{\qquad} −37\)