Question

Joshua compared the values of these decimals: 0.06, 0.6, 0.006, 0.060. Which statement correctly compares two of these numbers?

a) 0.6 > 0.06
b) 0.6 < 0.060
c) 0.060 > 0.006
d) 0.06 = 0.060

Answer 1

The correct statement that compares two of these numbers is 'd) 0.06 = 0.060' because the trailing zero in 0.060 does not change its value; both numbers are equal.

Step-by-step explanation:

When comparing the values of these decimals: 0.06, 0.6, 0.006, 0.060, it's important to look at the place value of each digit. Starting from the left, the digit with the highest place value will determine the size of the number. Therefore:

• 0.6 is greater than 0.06 because it has a '6' in the tenths place, whereas the latter has a '6' in the hundredths place.
• 0.6 cannot be less than 0.060 because they are actually equal, the trailing zero does not change the value.
• 0.060 is greater than 0.006 because the '6' is in the hundredths place for 0.060, but in the thousandths place for 0.006.
• 0.06 is equal to 0.060 because the trailing zero does not impact the value of the number.

So the correct statement comparing two of these numbers is d) 0.06 = 0.060.