Question

Round 28.1458 to the

nearest

a) hundredth

b) thousandth

Short answer

Round 28.1458 to the

nearest

a) hundredth is 28.15

b) thousandth is 28.146

Step-by-step solution

. Given information

Given 28.1458.

We have to round

nearest hundredth and thousandth of 28.1458

. Description of rounding digit.

• Locate the given place value.
• find the digit to the right of the place value.
• Is the underlined digit greater than or equal to 5?

  ◦ Yes: add 1 to the digit in the given place value.

  ◦ No: do not change the digit in the given place value

• Rewrite the number, deleting all digits to the right of the rounding digit.

• 0.1 = 1/10 is “one tenth”

  0.01 = 1/100 is “one hundredth”

  0.001 = 1/1000 is “one thousandth”

Part (a) Step 1 . Rounding hundredth

Locate the hundredth place here 28.1458 is 4 and the digit to the right of the given place value is 5 .

Because 5 is equal to 5, add 1 to the 4.

So hundredth place of 2.1458 is 2.15

Part (b) Step 1 . Rounding thousandth

Locate the thousandth place of 28.1458 is 5 and the digit to the right of the given place value is greater than 5 ,so add 1 to 5