Writing 7 8 as a decimal involves dividing 7 by 8. This can be done using long division or a calculator. In this article, we will discuss the steps involved in writing 7 8 as a decimal and explore some related concepts.
To start, let’s review what decimals are. Decimals are a way of representing numbers that fall between whole numbers. They are a way of expressing fractions using a base-ten system, in which each place value represents a power of ten. For example, the number 0.25 represents the fraction 1/4, and the 5 in the tenths place value represents 5/10 or 1/2.
Now, let’s move on to the process of converting 7 8 to a decimal. To do this, we need to perform a division operation. We start by dividing 7 by 8, and we keep dividing until we get an answer that has a fixed number of decimal places or we notice that the digits are repeating.
Long Division Method:
Step 1: Write the dividend (7) inside the long division bracket and the divisor (8) outside the bracket
0.875 | 7
Step 2: We ask ourselves, how many times does 8 go into 7? The answer is 0.
0.875 | 7
0
Step 3: Since the answer is 0, we move the decimal point in the dividend one place to the right and add a zero.
0.875 | 7.0
0
Step 4: We again ask ourselves how many times 8 goes into 70, which is the new dividend. The answer is 8.
0.875 | 7.0
0
—
8
Step 5: We multiply the divisor (8) by the quotient (8), and write the result (64) under the dividend.
0.875 | 7.0
0
--
8
64
Step 6: We subtract the result (64) from the dividend (70) to get the remainder (6).
0.875 | 7.0
0
--
8
64
--
6
Step 7: We bring down the next digit of the dividend, which is a zero.
0.875 | 7.0
0
--
8
64
--
6.0
Step 8: We ask ourselves how many times 8 goes into 60, which is the new dividend. The answer is 7.
0.875 | 7.0
0
--
8
64
--
6.0
56
Step 9: We multiply the divisor (8) by the quotient (7), and write the result (56) under the dividend.
0.875 | 7.0
0
--
8
64
--
6.0
56
--
Step 10: We subtract the result (56) from the dividend (60) to get the remainder (4).
0.875 | 7.0
0
--
8
64
--
6.0
56
--
4
Step 11: We bring down the next digit of the dividend, which is a zero.
0.875 | 7.0