Answer :
To multiply [tex]$35.8$[/tex] by [tex]$7.9$[/tex], one effective method is to eliminate the decimals temporarily and then adjust for them at the end.
1. First, rewrite the numbers without decimals:
- [tex]$35.8$[/tex] can be thought of as [tex]$358$[/tex] (moved the decimal one place to the right).
- [tex]$7.9$[/tex] can be thought of as [tex]$79$[/tex] (moved the decimal one place to the right).
2. Multiply these whole numbers:
[tex]$$
358 \times 79 = 28282
$$[/tex]
3. Since we shifted the decimal one place for each number, we have shifted a total of two decimal places. To obtain the correct result, we need to shift the decimal point back two places:
[tex]$$
28282 \div 100 = 282.82
$$[/tex]
Thus, the product of [tex]$35.8$[/tex] and [tex]$7.9$[/tex] is
[tex]$$
282.82.
$$[/tex]
1. First, rewrite the numbers without decimals:
- [tex]$35.8$[/tex] can be thought of as [tex]$358$[/tex] (moved the decimal one place to the right).
- [tex]$7.9$[/tex] can be thought of as [tex]$79$[/tex] (moved the decimal one place to the right).
2. Multiply these whole numbers:
[tex]$$
358 \times 79 = 28282
$$[/tex]
3. Since we shifted the decimal one place for each number, we have shifted a total of two decimal places. To obtain the correct result, we need to shift the decimal point back two places:
[tex]$$
28282 \div 100 = 282.82
$$[/tex]
Thus, the product of [tex]$35.8$[/tex] and [tex]$7.9$[/tex] is
[tex]$$
282.82.
$$[/tex]
