Question

Which number(s) have a 5 that is 10 x the value than the 5 in 13.725?

(a) 5.368
(b) 12.459
(c) 57.31
(d) 6.508
(e) 4.315
(f) 7.65

Answer 1

(b) 12.459 and (f) 7.65

Explanation:

The value of 5 in 13.725 is 0.005 (or 5 in the thousandths place)

We need to find numbers with 10 times that value in the number.

• 0.005 x 10 = 0.05 (or 5 in the hundredths place)

Evaluating the options given :

(a) 5.368

• The value of 5 in this number is 5 in the unit place (No ×)

(b) 12.459

• The value of 5 in this number is 5 in the hundredths place (Yes √)

(c) 57.31

• The value of 5 in this number is 5 in the tens place (No ×)

(d) 6.508

• The value of 5 in this number is 5 in the tenths place (No ×)

(e) 4.315

• The value of 5 in this number is 5 in the thousandths place (No ×)

(f) 7.65

• The value of 5 in this number is 5 in the hundredths place (Yes √)

Hence, the numbers are : (b) 12.459 and (f) 7.65

Answer 2

b and f

Explanation:

The 5 in 13.725 is in the thousandth place: 0.005

So three places after the decimal point.

If you multiply 0.005 by 10, then it becomes 0.05 (as multiplying by 10 moves the decimal point one place to the right).

Therefore, we are looking for numbers that have a 5 in the hundredth place, so a 5 in the second place after the decimal point.

There are two numbers that have a 5 in the hundredth place:

(b) 12.459

(f) 7.65