To estimate the difference between the decimals 16.005 and 6.679 by rounding to the nearest whole number, follow these steps:
1. Round each number to the nearest whole number:
- For 16.005, observe the value immediately after the decimal point. The value is 0, which is less than 5, so we round down:
[tex]\[
16.005 \text{ rounds to } 16
\][/tex]
- For 6.679, observe the value immediately after the decimal point. The value is 6, which is greater than or equal to 5, so we round up:
[tex]\[
6.679 \text{ rounds to } 7
\][/tex]
2. Subtract the rounded values:
- Now, subtract the rounded value of 6.679 from the rounded value of 16.005:
[tex]\[
16 - 7 = 9
\][/tex]
Therefore, the estimated difference of the numbers 16.005 and 6.679, when rounded to the nearest whole number, is 9.
