Find the decimal value expressed in thousandths unit: 5.66, 10.27, 3.478, or 100.65?
STEP 1
Assumptions
1. We are to identify which decimal number has a digit in the thousandths place.
2. The thousandths place is the third digit to the right of the decimal point.
STEP 2
Examine the first number, 5.66, and identify the place value of each digit to the right of the decimal point.
5.66=5+0.6+0.06
STEP 3
Determine if there is a digit in the thousandths place for the number 5.66.
5.66 has two digits to the right of the decimal point, so there is no digit in the thousandths place.
STEP 4
Examine the second number, 10.27, and identify the place value of each digit to the right of the decimal point.
10.27=10+0.2+0.07
STEP 5
Determine if there is a digit in the thousandths place for the number 10.27.
10.27 has two digits to the right of the decimal point, so there is no digit in the thousandths place.
STEP 6
Examine the third number, 3.478, and identify the place value of each digit to the right of the decimal point.
3.478=3+0.4+0.07+0.008
STEP 7
Determine if there is a digit in the thousandths place for the number 3.478.
3.478 has three digits to the right of the decimal point, so there is a digit in the thousandths place.
STEP 8
Examine the fourth number, 100.65, and identify the place value of each digit to the right of the decimal point.
100.65=100+0.6+0.05
STEP 9
Determine if there is a digit in the thousandths place for the number 100.65.
100.65 has two digits to the right of the decimal point, so there is no digit in the thousandths place.
STEP 10
Conclude which number has a digit in the thousandths place.
The number 3.478 has a digit in the thousandths place.
The decimal expressed in the thousandths unit is 3.478.