Answer :
To solve the expression [tex]\(98.3 \div 0.6\)[/tex] and find an equivalent expression, we can follow these steps:
1. Eliminate the Decimal in the Divisor:
Start by getting rid of the decimal in the divisor. Multiply both the numerator (98.3) and the divisor (0.6) by 10 to make the divisor a whole number.
[tex]\[
98.3 \times 10 = 983 \quad \text{and} \quad 0.6 \times 10 = 6
\][/tex]
2. Write the Equivalent Expression:
After clearing the decimal, the expression [tex]\(98.3 \div 0.6\)[/tex] becomes:
[tex]\[
983 \div 6
\][/tex]
3. Verify the Options:
Compare this equivalent expression to the options given:
- [tex]\(98.3 \div 60\)[/tex]
- [tex]\(9830 \div 60\)[/tex]
- [tex]\(9830 \div 6\)[/tex]
- [tex]\(983 \div 0.6\)[/tex]
The option that matches our equivalent expression is [tex]\(983 \div 6\)[/tex].
Thus, the correct expression equivalent to [tex]\(98.3 \div 0.6\)[/tex] is [tex]\(983 \div 6\)[/tex].
1. Eliminate the Decimal in the Divisor:
Start by getting rid of the decimal in the divisor. Multiply both the numerator (98.3) and the divisor (0.6) by 10 to make the divisor a whole number.
[tex]\[
98.3 \times 10 = 983 \quad \text{and} \quad 0.6 \times 10 = 6
\][/tex]
2. Write the Equivalent Expression:
After clearing the decimal, the expression [tex]\(98.3 \div 0.6\)[/tex] becomes:
[tex]\[
983 \div 6
\][/tex]
3. Verify the Options:
Compare this equivalent expression to the options given:
- [tex]\(98.3 \div 60\)[/tex]
- [tex]\(9830 \div 60\)[/tex]
- [tex]\(9830 \div 6\)[/tex]
- [tex]\(983 \div 0.6\)[/tex]
The option that matches our equivalent expression is [tex]\(983 \div 6\)[/tex].
Thus, the correct expression equivalent to [tex]\(98.3 \div 0.6\)[/tex] is [tex]\(983 \div 6\)[/tex].
