Answer :
To solve the problem of finding which expression is not equal to [tex]\(84 \times 0.28\)[/tex], let's evaluate each option.
1. Evaluate [tex]\(84 \div \frac{1}{0.28}\)[/tex]:
- Dividing by a fraction is the same as multiplying by its reciprocal.
- [tex]\(\frac{1}{0.28}\)[/tex] is the reciprocal of [tex]\(0.28\)[/tex].
- So, [tex]\(84 \div \frac{1}{0.28} = 84 \times 0.28\)[/tex]. This equals [tex]\(84 \times 0.28\)[/tex].
2. Evaluate [tex]\(84 \times 0.14 \times 2\)[/tex]:
- First, calculate [tex]\(0.14 \times 2 = 0.28\)[/tex].
- Then, [tex]\(84 \times 0.28 = 84 \times 0.28\)[/tex]. This also equals [tex]\(84 \times 0.28\)[/tex].
3. Evaluate [tex]\(84 \times \frac{7}{25}\)[/tex]:
- Convert the fraction [tex]\(\frac{7}{25}\)[/tex] to a decimal by dividing 7 by 25, which equals 0.28.
- So, [tex]\(84 \times \frac{7}{25} = 84 \times 0.28\)[/tex]. This is equal to [tex]\(84 \times 0.28\)[/tex].
4. Evaluate [tex]\(84 \times 0 \times 0.28\)[/tex]:
- Any number multiplied by zero is zero.
- Therefore, [tex]\(84 \times 0 = 0\)[/tex].
- [tex]\(0 \times 0.28 = 0\)[/tex].
- This calculation does not equal [tex]\(84 \times 0.28\)[/tex].
The expression that is not equal to [tex]\(84 \times 0.28\)[/tex] is Option 4: [tex]\(84 \times 0 \times 0.28\)[/tex]. The value is 0, which is different from the other calculations that all equal [tex]\(23.52\)[/tex].
1. Evaluate [tex]\(84 \div \frac{1}{0.28}\)[/tex]:
- Dividing by a fraction is the same as multiplying by its reciprocal.
- [tex]\(\frac{1}{0.28}\)[/tex] is the reciprocal of [tex]\(0.28\)[/tex].
- So, [tex]\(84 \div \frac{1}{0.28} = 84 \times 0.28\)[/tex]. This equals [tex]\(84 \times 0.28\)[/tex].
2. Evaluate [tex]\(84 \times 0.14 \times 2\)[/tex]:
- First, calculate [tex]\(0.14 \times 2 = 0.28\)[/tex].
- Then, [tex]\(84 \times 0.28 = 84 \times 0.28\)[/tex]. This also equals [tex]\(84 \times 0.28\)[/tex].
3. Evaluate [tex]\(84 \times \frac{7}{25}\)[/tex]:
- Convert the fraction [tex]\(\frac{7}{25}\)[/tex] to a decimal by dividing 7 by 25, which equals 0.28.
- So, [tex]\(84 \times \frac{7}{25} = 84 \times 0.28\)[/tex]. This is equal to [tex]\(84 \times 0.28\)[/tex].
4. Evaluate [tex]\(84 \times 0 \times 0.28\)[/tex]:
- Any number multiplied by zero is zero.
- Therefore, [tex]\(84 \times 0 = 0\)[/tex].
- [tex]\(0 \times 0.28 = 0\)[/tex].
- This calculation does not equal [tex]\(84 \times 0.28\)[/tex].
The expression that is not equal to [tex]\(84 \times 0.28\)[/tex] is Option 4: [tex]\(84 \times 0 \times 0.28\)[/tex]. The value is 0, which is different from the other calculations that all equal [tex]\(23.52\)[/tex].
