Find the product. $$ 2.6 imes .5 .9= $$ Find the quotient.

Question

Find the product. $$ 2.6 	imes .5 .9= $$ Find the quotient.

UpStudy AI · Accepted Answer

To find the product of $$ 2.6 \times 0.59 $$:

1. First, multiply the numbers as if they were whole numbers:
   $$
   26 \times 59
   $$

Performing the multiplication:
   $$
   26 \times 59 = 1534
   $$

2. Now, count the total number of decimal places in the original numbers. $$ 2.6 $$ has 1 decimal place and $$ 0.59 $$ has 2 decimal places, giving a total of $$ 1 + 2 = 3 $$ decimal places.

3. Place the decimal point in the product:
   $$
   1534 \text{ becomes } 1.534 \text{ (after moving the decimal point 3 places to the left)}
   $$

Thus, the product $$ 2.6 \times 0.59 = 1.534 $$.

Now, to find the quotient $$ \frac{2.6}{0.59} $$:

1. Divide $$ 2.6 $$ by $$ 0.59 $$:
   $$
   \frac{2.6}{0.59}
   $$

2. To simplify the division, multiply both the numerator and the denominator by 100 to eliminate the decimal:
   $$
   \frac{2.6 \times 100}{0.59 \times 100} = \frac{260}{59}
   $$

3. Now perform the division:
   $$
   260 \div 59 \approx 4.407
   $$

Thus, the quotient $$ \frac{2.6}{0.59} \approx 4.407 $$.

In summary:
- The product $$ 2.6 \times 0.59 = 1.534 $$
- The quotient $$ \frac{2.6}{0.59} \approx 4.407 $$
The product is 1.534 and the quotient is approximately 4.407.

Find the product.

Find the quotient.

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