Final answer:
The question involves the division of several decimal numbers by whole numbers using the standard algorithm, which involves aligning the dividend and divisor and carrying out division as with whole numbers, adjusting for decimal places as necessary.
Step-by-step explanation:
The question asks for the evaluation of several division expressions using the standard algorithm. To divide using the standard algorithm, you align the dividend and the divisor, divide the first digit of the dividend by the divisor for the quotient's first digit, multiply the divisor by this first digit of the quotient, subtract the result from the dividend, bring down the next digit, and repeat this process until you've processed all digits of the dividend. For decimal numbers, you can remove the decimal by multiplying both the dividend and divisor by the same power of ten if necessary.
Let's apply this to 1.9436 divided by 1000. Moving the decimal place three places to the left, we get:
1.9436 ÷ 1000 = 0.0019436
When dividing numbers like 0.5 by 2, we apply the same principles. Move the decimal point to get whole numbers if needed and perform the division. For instance, 0.5 divided by 2 would be:
0.5 ÷ 2 = 0.25
The same technique is used for all such divisions:
- 4.75 ÷ 5 = 0.95
- 10.26 ÷ 2 = 5.13
- 0.36 ÷ 9 = 0.04
- 0.4 ÷ 20 = 0.02
- 3.5 ÷ 7 = 0.5
- 0.88 ÷ 4 = 0.22