Question

Put the following numbers in order from largest to smallest: 3.2, 0.3, 0.032, 0.32

Answer 1

To order the numbers from largest to smallest, compare their place values starting from the leftmost digit. The sequence from largest to smallest is 3.2, 0.3, 0.32, and 0.032.

Step-by-step explanation:

To put the numbers 3.2, 0.3, 0.032, and 0.32 in order from largest to smallest, we need to compare their values. Here are the steps to arrange these numbers:

1. Identify the place values of the digits: The first digit after the decimal point is the tenths place, followed by the hundredths, and so on.
2. Compare the first place where the digits differ: The number with the greater digit in the leftmost place where they differ is larger.
3. Use the comparisons to order the numbers:

The number 3.2 has a digit in the ones place, making it the largest. The rest of the numbers begin with 0 before the decimal point, so we look at the digit in the tenths place to continue. We find that 0.3 is the next largest, followed by 0.32, since the 3 in the tenths place is greater than the 2. Finally, 0.032, with a 3 in the hundredths place, is the smallest of the remaining numbers.

The ordered sequence from largest to smallest is 3.2, 0.3, 0.32, 0.032.