To solve the problem, we need to match each expression on the left side with its equivalent value on the right side. Let's examine each expression step-by-step and match it to the corresponding value.
1. Expression: [tex]\(150 \times 10\)[/tex]
[tex]\[
150 \times 10 = 1500
\][/tex]
Therefore, [tex]\(150 \times 10\)[/tex] matches with [tex]\(1500\)[/tex].
2. Expression: [tex]\(150,000 \div 10\)[/tex]
[tex]\[
150,000 \div 10 = 15000
\][/tex]
Therefore, [tex]\(150,000 \div 10\)[/tex] matches with [tex]\(15000\)[/tex].
3. Expression: [tex]\(15 \times 10,000\)[/tex]
[tex]\[
15 \times 10,000 = 150000
\][/tex]
Therefore, [tex]\(15 \times 10,000\)[/tex] matches with [tex]\(150000\)[/tex].
4. Expression: [tex]\(1,500 \div 100\)[/tex]
[tex]\[
1,500 \div 100 = 15
\][/tex]
Therefore, [tex]\(1,500 \div 100\)[/tex] matches with [tex]\(15\)[/tex].
Now that we've matched each expression:
1. [tex]\(150 \times 10 = 1500\)[/tex]
2. [tex]\(150000 \div 10 = 15000\)[/tex]
3. [tex]\(15 \times 10000 = 150000\)[/tex]
4. [tex]\(1500 \div 100 = 15\)[/tex]
Let's map these matches correctly:
- [tex]\(150 \times 10\)[/tex] -> [tex]\(1500\)[/tex]
- [tex]\(150,000 \div 10\)[/tex] -> [tex]\(15000\)[/tex]
- [tex]\(15 \times 10,000\)[/tex] -> [tex]\(150000\)[/tex]
- [tex]\(1,500 \div 100\)[/tex] -> [tex]\(15\)[/tex]
The unused answer choices are [tex]\( \(1,500,000\)[/tex] and [tex]\(150\)[/tex] (though [tex]\(150\)[/tex] was directed at 1,500/100 initially). Thus, the solution is:
- [tex]\(150 \times 10 = 1500\)[/tex]
- [tex]\(150,000 \div 10 = 15,000\)[/tex]
- [tex]\(15 \times 10,000 = 150,000\)[/tex]
- [tex]\(1,500 \div 100 = 15\)[/tex]
