How do you use calculator order of operations for 143 + 305*70?
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Executive summary
The expression 143 + 305*70 should be evaluated by doing the multiplication before the addition, because standard order-of-operations rules give multiplication higher precedence than addition (PEMDAS/BODMAS) [1] [2] [3]. Applying that rule yields 305×70 first, then adding 143 to that product; the calculation here gives 21493 (calculation performed here; specific numeric computation is not present in the provided sources).
1. The rule: multiplication before addition — the authority and why it matters
Modern arithmetic conventions teach and calculators implement a hierarchy of operations so that expressions are unambiguous: perform parentheses first, then exponents/roots, then multiplication and division (left-to-right), and finally addition and subtraction (left-to-right) — often remembered as PEMDAS, BODMAS, or variants of those acronyms [1] [2] [3]. This hierarchy dates back to the formalization of algebraic notation and makes expressions like 143 + 30570 universally interpretable without extra parentheses [2]. Multiple educational and online calculator sites reiterate that multiplication is to be performed prior to addition unless parentheses specify otherwise [1] [3] [4].
**2. Step-by-step application to 143 + 30570**
Following the standard sequence, locate any grouping symbols first (none here), then exponents (none), then multiplication or division. The expression contains one multiplication: 30570, so that operation is evaluated before addition [3] [1]. The multiplication 305 times 70 is therefore computed first; once that product is obtained, the remaining operation is the addition of 143, which is carried out last under the PEMDAS/BODMAS convention [3] [4]. The provided order-of-operations resources describe this exact sequence: do multiplication and division as they appear left-to-right, then do addition and subtraction left-to-right [1] [3].
**3. The arithmetic and the practical calculator check**
Computing the multiplication 305 × 70 yields 21,350, and adding 143 gives 21,493; this is the numeric result of the expression when evaluated under the standard order of operations (calculation performed here; the sources explain the method but do not list this specific numeric example) [1] [3]. Most modern scientific and online order-of-operations calculators will produce the same result automatically because they implement PEMDAS/BODMAS rules [5] [6]. Several online "order of operations" solver pages advertise step-by-step solutions using the same prioritized sequence and would show the multiplication-first step if fed the expression [3] [6].
**4. A cautionary caveat: basic calculators and different parsing conventions**
Not every device or program behaves identically: basic four-function pocket calculators sometimes process operations strictly in the order entered (left-to-right) without implicit operator precedence, which can yield different intermediate behavior if the user types sequences without parentheses [5]. Programming languages and some calculators also have parsing rules that may differ in edge cases, so when in doubt or when using a simple device, wrap the intended higher-priority operation in parentheses (for example, enter 143 + (30570)) to force the correct evaluation [5] [2]. Educational resources repeatedly advise using parentheses to avoid ambiguity and to verify how a particular calculator interprets operator precedence [7] [8].
5. Bottom line and recommended practice
Under the standard order-of-operations rules taught and implemented broadly online and in scientific calculators — perform multiplication before addition — the expression 143 + 30570 equals 21,493 (method supported by PEMDAS/BODMAS guidance; numeric calculation shown here) [1] [3]. To avoid surprises on simpler calculators or unfamiliar tools, either use a trusted order-of-operations calculator or add explicit parentheses around the multiplication: 143 + (30570), which communicates intent unambiguously [5] [6].