To determine which expression equals [tex]\(21,340\)[/tex], we will carefully evaluate each expression.
Expression 1: [tex]\(2.1343 \times 10^4\)[/tex]
- The base number is 2.1343, and it is multiplied by [tex]\(10^4\)[/tex], or 10,000.
- Calculate: [tex]\(2.1343 \times 10,000 = 21,343\)[/tex].
Expression 2: [tex]\(21.343 \times 10^{-4}\)[/tex]
- The base number is 21.343, and it is multiplied by [tex]\(10^{-4}\)[/tex].
- [tex]\(10^{-4}\)[/tex] means dividing by 10,000.
- Calculate: [tex]\(21.343 \div 10,000 = 0.0021343\)[/tex].
Expression 3: [tex]\(0.2134 \times 10^{-6}\)[/tex]
- The base number is 0.2134, and it is multiplied by [tex]\(10^{-6}\)[/tex].
- [tex]\(10^{-6}\)[/tex] means dividing by 1,000,000.
- Calculate: [tex]\(0.2134 \div 1,000,000 = 0.0000002134\)[/tex].
Expression 4: [tex]\(0.2134 \times 10^4\)[/tex]
- The base number is 0.2134, and it is multiplied by [tex]\(10^4\)[/tex], or 10,000.
- Calculate: [tex]\(0.2134 \times 10,000 = 2,134\)[/tex].
After evaluating each expression:
- Expression 1 equals 21,343.
- Expression 2 equals 0.0021343.
- Expression 3 equals 0.0000002134.
- Expression 4 equals 2,134.
None of these expressions equal 21,340.
Thus, we can conclude that none of the given expressions is equal to 21,340.
