The product of which expression contains four decimal places?

Question

5.3478 times 6.4214
6.4 times 9.1
521 times 3.82

Answer 1

To determine which product has four decimal places, we can calculate the number of decimal places in each expression separately:

1. 5.3478 times 6.4214

   • The first number (5.3478) has 4 decimal places.
   • The second number (6.4214) also has 4 decimal places.
   • When multiplying, the total number of decimal places is \(4 + 4 = 8\).

2. 6.4 times 9.1

   • The first number (6.4) has 1 decimal place.
   • The second number (9.1) also has 1 decimal place.
   • When multiplying, the total number of decimal places is \(1 + 1 = 2\).

3. 521 times 3.82

   • The first number (521) has 0 decimal places.
   • The second number (3.82) has 2 decimal places.
   • When multiplying, the total number of decimal places is \(0 + 2 = 2\).

After evaluating, we see that:

• \(5.3478 \times 6.4214\) has 8 decimal places.
• \(6.4 \times 9.1\) has 2 decimal places.
• \(521 \times 3.82\) has 2 decimal places.

None of the products contain exactly four decimal places.