Question

compare. write <, >, or =. 2. 5.37 5.370 | 3. 9.425 9.417 | 4. 7.684 7.689 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

Compare digits from left - to - right. The digits in the ones and tenths places are the same. In the hundredths place, 7 > 5. So 8.675 > 8.654, the greatest place - value where digits differ is the hundredths place, and the greater number is 8.675.

Step2: Compare 3.086 and 3.194

The digits in the ones place are the same. In the tenths place, 0 < 1. So 3.194 > 3.086, the greatest place - value where digits differ is the tenths place, and the greater number is 3.194.

Step3: Compare 6.243 and 6.247

The digits in the ones, tenths, and hundredths places are the same. In the thousandths place, 3 < 7. So 6.247 > 6.243, the greatest place - value where digits differ is the thousandths place, and the greater number is 6.247.

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

Compare digits from left - to - right. 5.04 has 0 in the tenths place. 5.064 also has 0 in the tenths place but 6 in the hundredths place compared to 4 in 5.04. 5.4 has 4 in the tenths place and 5.406 has 4 in the tenths place and 0 in the hundredths place. 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

2.146 and 2.164 have 1 in the tenths place. Comparing their hundredths places, 4 < 6, so 2.146 < 2.164. 2.46 has 4 in the tenths place and 2.614 has 6 in the tenths place. 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