Question

name the greatest place - value position where the digits differ. name the greater number. 5. 8.675; 8.654 6. 3.086; 3.194 7. 6.243; 6.247 order from least to greatest. 8. 5.04; 5.4; 5.406; 5.064 9. 2.614; 2.146; 2.46; 2.164

Explanation:

Step1: Compare 8.675 and 8.654

Starting from left - most digit, the digits in the ones place (8) and tenths place (6) are the same. In the hundredths place, 7 > 5. The greatest place - value where they differ is the hundredths place, and 8.675 is greater.

Step2: Compare 3.086 and 3.194

The digits in the ones place are the same (3). In the tenths place, 0 < 1. The greatest place - value where they differ is the tenths place, and 3.194 is greater.

Step3: Compare 6.243 and 6.247

The digits in the ones place (6), tenths place (2), and hundredths place (4) are the same. In the thousandths place, 3 < 7. The greatest place - value where they differ is the thousandths place, and 6.247 is greater.

Step4: Order 5.04, 5.4, 5.406, 5.064 from least to greatest

First, compare the tenths place. 5.04 and 5.064 have 0 in the tenths place, and 5.4 and 5.406 have 4 in the tenths place. Among 5.04 and 5.064, comparing the hundredths place, 5.04 < 5.064. Among 5.4 and 5.406, comparing the thousandths place, 5.4 < 5.406. So the order is 5.04, 5.064, 5.4, 5.406.

Step5: Order 2.614, 2.146, 2.46, 2.164 from least to greatest

Comparing the tenths place: 2.146 and 2.164 have 1 in the tenths place, 2.46 has 4 in the tenths place, and 2.614 has 6 in the tenths place. Among 2.146 and 2.164, comparing the hundredths place, 2.146 < 2.164. So the order is 2.146, 2.164, 2.46, 2.614.

Answer:

1. Hundredths place; 8.675
2. Tenths place; 3.194
3. Thousandths place; 6.247
4. 5.04, 5.064, 5.4, 5.406
5. 2.146, 2.164, 2.46, 2.614