Explain how knowing 5 divided by 8 helps you write the decimal for 4 and 5 over 8.
To understand how knowing the division of 5 by 8 helps in writing the decimal for 4 and 5 over 8, we need to recall that a decimal represents a part of a whole. In this case, we have a fraction, 4 and 5 over 8.
1. Divide 5 by 8:
- Divide the numerator (5) by the denominator (8).
- Since 5 is not divisible by 8, we perform long division to calculate the decimal.
- After dividing and rounding off the decimal to an appropriate number of decimal places, we find that 5 divided by 8 is approximately 0.625. (Note that the actual decimal is recurring, but we generally round it to a reasonable number of decimal places for simplicity.)
2. Write the decimal for 4 and 5 over 8:
- Since the decimal value of the fraction 4 and 5 over 8 is based on the division of 5 by 8, we take the decimal value we obtained earlier, 0.625.
- Since 4 is less than 8, it represents four-eighths (4/8) of a whole.
- Since 5 represents five-eighths (5/8) of a whole, we add it to four-eighths (4/8) to get the final decimal equivalent.
- Therefore, the decimal representation of 4 and 5 over 8 is 0.625.
In summary, knowing the division of 5 by 8 helps us determine the decimal value of a fraction because the decimal value represents the part of a whole that the fraction represents.