Express the product of $$ 3.2 imes 10^{6} $$ and $$ 4.1 imes 10^{-1} $$ in the standard form. $$ \begin{array}{ll} ext { (a) } 1.312 imes 10^{5} & ext { (b) } 1.232 imes 10^{6} \ ext { (c) } 1.312 imes 10^{6} & ext { (d) } 1.312 imes 10^{7}\end{array} $$

Question

Express the product of $$ 3.2 	imes 10^{6} $$ and $$ 4.1 	imes 10^{-1} $$ in the standard form. $$ \begin{array}{ll}	ext { (a) } 1.312 	imes 10^{5} & 	ext { (b) } 1.232 	imes 10^{6} \ 	ext { (c) } 1.312 	imes 10^{6} & 	ext { (d) } 1.312 	imes 10^{7}\end{array} $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ 3.2 	imes 10^{6} 	imes 4.1 	imes 10^{-1} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$3.2	imes 10^{6}	imes 4.1	imes 10^{-1}$$
- step1: Multiply the numbers:
  $$13.12	imes 10^{6}	imes 10^{-1}$$
- step2: Multiply:
  $$13.12	imes 10^{5}$$
- step3: Rewrite the number:
  $$1.312	imes 10^{6}$$
- step4: Rewrite the number:
  $$1312	imes 10^{3}$$
- step5: Evaluate the power:
  $$1312	imes 1000$$
- step6: Multiply the numbers:
  $$1312000$$
The product of $$3.2 	imes 10^{6}$$ and $$4.1 	imes 10^{-1}$$ in standard form is $$1.312 	imes 10^{6}$$.

Therefore, the correct answer is (c) $$1.312 	imes 10^{6}$$.
The product is $$1.312 	imes 10^{6}$$.

Express the product of and
in the standard form.

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