RealBox objects have been provided with methods implementing the standard arithmetic operators in Maple. This means that you can form arithmetic expressions using real boxes and they will evaluate to RealBox objects representing the result of those operations.

Note that addition ($\mathrm{`+`}$) and multiplication ($\mathrm{`*`}$) are, in fact, $n$-ary operators that may have one or more operands, while negation ($\mathrm{`-`}$) and reciprocation ($\mathrm{`/`}$) are unary. See object/operators for more details on the semantics of operator methods for objects in Maple.

These are the arithmetic operators available for RealBox objects.

In most cases, these are defined when one argument is a (Maple) real numeric value, provided at least one operand is a RealBox object. (Otherwise, Maple's standard arithmetic applies as box objects are not involved.)

For information about using arithmetic operators with ComplexBox operands, see ComplexBox[Arithmetic].

$-\mathrm{RealBox}\left(2.3\right)$

$⟨\text{RealBox:}-2.3\pm \mathrm{2.32831\ⅇ-10}⟩$

$\frac{1}{\mathrm{RealBox}\left(2.3\right)}$

$⟨\text{RealBox:}0.434783\pm \mathrm{7.31179\ⅇ-11}⟩$

$\frac{1}{\mathrm{RealBox}\left(0.\right)}$

$⟨\text{RealBox:}\mathrm{nan}\pm 0⟩$

$\mathrm{RealBox}\left(2.3\right)+\mathrm{RealBox}\left(-4.7\right)$

$⟨\text{RealBox:}-2.4\pm \mathrm{6.98492\ⅇ-10}⟩$

$\mathrm{RealBox}\left(2.3\right)+55.55$

$⟨\text{RealBox:}57.85\pm \mathrm{7.68341\ⅇ-09}⟩$

$\mathrm{RealBox}\left(2.3\right)\mathrm{RealBox}\left(-4.7\right)$

$⟨\text{RealBox:}-10.81\pm \mathrm{3.09665\ⅇ-09}⟩$

$17.41\mathrm{RealBox}\left(-4.7\right)$

$⟨\text{RealBox:}-81.827\pm \mathrm{2.43122\ⅇ-08}⟩$

$\frac{\mathrm{RealBox}\left(2.3\right)}{\mathrm{RealBox}\left(-4.7\right)}$

$⟨\text{RealBox:}-0.489362\pm \mathrm{1.60597\ⅇ-10}⟩$

${\mathrm{RealBox}\left(2.3\right)}^{\mathrm{RealBox}\left(-4.7\right)}$

$⟨\text{RealBox:}0.0199471\pm \mathrm{2.91557\ⅇ-11}⟩$

${\mathrm{RealBox}\left(2.3\right)}^{3.1415}$

$⟨\text{RealBox:}13.6889\pm \mathrm{1.36337\ⅇ-08}⟩$

${\mathrm{RealBox}\left(2.3\right)}^2$

$⟨\text{RealBox:}5.29\pm \mathrm{1.53668\ⅇ-09}⟩$

${\mathrm{RealBox}\left(2.3\right)}^{10}$

$⟨\text{RealBox:}4142.65\pm \mathrm{4.40901\ⅇ-06}⟩$

$p≔-7x^5+22x^4-55x^3-94x^2+87x-56$

$p≔-7x^5+22x^4-55x^3-94x^2+87x-56$

$\mathrm{eval}\left(p\,x=\mathrm{RealBox}\left(2.3\right)\right)$

$⟨\text{RealBox:}-857.239\pm \mathrm{1.30933\ⅇ-06}⟩$

$\mathrm{eval}\left(p\,x=2.3\right)$

$\mathrm{-857.23881}$

$q≔-62x^4+97x^3-73x^2-4x-83$

$q≔-62x^4+97x^3-73x^2-4x-83$

$\mathrm{eval}\left(\frac{p}{q}\,x=\mathrm{RealBox}\left(2.3\right)\right)$

$⟨\text{RealBox:}0.829705\pm \mathrm{2.97047\ⅇ-09}⟩$

$\mathrm{eval}\left(\frac{p}{q}\,x=2.3\right)$

$0.8297048874$

$p≔-40x^3{y}^2+42x{y}^4-7x^4-10x^{2}y-75xy-17x$

$p≔-40x^3{y}^2+42x{y}^4-7x^4-10x^{2}y-75xy-17x$

$q≔\mathrm{eval}\left(p\,x=\mathrm{RealBox}\left(2.3\right)\right)$

$q≔⟨\text{RealBox:}-234.989\pm \mathrm{1.35785\ⅇ-07}⟩+\left(⟨\text{RealBox:}-486.68\pm \mathrm{2.3488\ⅇ-07}⟩\right)y^2+\left(⟨\text{RealBox:}96.6\pm \mathrm{1.72295\ⅇ-08}⟩\right)y^4+\left(⟨\text{RealBox:}-52.9\pm \mathrm{1.90921\ⅇ-08}⟩\right)y+\left(⟨\text{RealBox:}-172.5\pm \mathrm{3.23635\ⅇ-08}⟩\right)y$

$\mathrm{eval}\left(q\,y=\mathrm{RealBox}\left(0.55\right)\right)$

$⟨\text{RealBox:}-497.34\pm \mathrm{4.13754\ⅇ-07}⟩$

$q≔\mathrm{eval}\left(p\,y=\mathrm{RealBox}\left(0.55\right)\right)$

$q≔\left(⟨\text{RealBox:}-12.1\pm \mathrm{4.65661\ⅇ-09}⟩\right)x^3+\left(⟨\text{RealBox:}3.84326\pm \mathrm{1.99043\ⅇ-09}⟩\right)x-7x^4+\left(⟨\text{RealBox:}-5.5\pm \mathrm{1.04774\ⅇ-09}⟩\right)x^2+\left(⟨\text{RealBox:}-41.25\pm \mathrm{8.09086\ⅇ-09}⟩\right)x-17x$

$\mathrm{eval}\left(q\,x=\mathrm{RealBox}\left(2.3\right)\right)$

$⟨\text{RealBox:}-497.34\pm \mathrm{4.05442\ⅇ-07}⟩$

The RealBox[Arithmetic], RealBox:-+, RealBox:-*, RealBox:-^, RealBox:-- and RealBox:-/ commands were introduced in Maple 2022.

For more information on Maple 2022 changes, see Updates in Maple 2022.