Final answer:
Robyn has approximately 100 buttons. The value of 100 buttons would be plotted on the number line between 90 and 110.
Step-by-step explanation:
To round the number of buttons in each bag to the nearest ten, we look at the ones place of each number. If the ones place is 5 or greater, we round up to the next ten. If the ones place is less than 5, we round down to the current ten.
Robyn has 4 bags of 22 buttons, so each bag is approximately rounded to 20 buttons.
Robyn also has 1 bag of 17 buttons, which is approximately rounded to 20 buttons.
The total approximate number of buttons Robyn has is 4 bags x 20 buttons/bag + 1 bag x 20 buttons/bag = 80 buttons + 20 buttons = 100 buttons.
On the number line, the approximate value of 100 buttons would be plotted between the numbers 90 and 110.