U N I T - 8
127. An insect is on the 0 point of a number line, hopping towards 1. She
covers half the distance from her current location to 1 with each
1
3
hop. So, she will be at
after one hop,
after two hops, and so on.
2
4
(a) Make a table showing the insect’s location for the first 10 hops.
(b) Where will the insect be after n hops?
(c) Will the insect ever get to 1? Explain.
128. Predicting the ones digit, copy and complete this table and answer
the questions that follow.
Powers Table
x
x
x
x
x
x
x
x
x
x
x
1
2
3
4
5
6
7
8
9
10
1
1
2
2
1
4
3
1
8
4
1
16
5
1
32
6
1
64
7
1
128
8
1
256
Ones
1
2,4,8,6
Digits
of the
Powers
(a) Describe patterns you see in the ones digits of the powers.
(b) Predict the ones digit in the following:
1. 4
12
2. 9
20
3. 3
17
4. 5
100
5. 10
500
(c) Predict the ones digit in the following:
10
10
21
10
1. 31
2. 12
3. 17
4. 29
E E E E E
P P P P P
261
261
261
261
261
XPONENTS
XPONENTS
AND
AND
OWERS
OWERS
XPONENTS
XPONENTS
XPONENTS AND
AND
AND
OWERS
OWERS
OWERS