Page 94 - Start Up Mathematics_7
P. 94
Fill in the Blanks
5
1. The number 2 has base __________ and exponent __________.
2. The number 343 is 7 raised to the power __________.
3. When a negative number is raised to an odd power the result is __________ in sign.
n
n
4. For any natural number n, a = b is possible if, and only if __________.
0
0
0
5. The value of the expression 1 + (10) + (100) is __________.
n
0
6. If (200) = 5 , then the value of n is __________.
2 4
3 3
7. The simplest form of (a ) ÷ (a ) is __________.
n
8. The scientific or standard form of a number is of the type k × 10 , where k is greater than or
equal to __________ and less than __________.
9. A rain cloud holding about 5,000,000,000,000 rain drops in standard form is represented as
__________.
Answer in One Word or a Line
1. What is the equivalent of 100,000 in exponential form?
0
0
0
0
2. Evaluate 1 + 2 + 3 + ... + (100) .
7 –1
3. Which rational number is equal to ?
2
4. Which integral values of a satisfy the equation a 100 = 1?
a m
5. Express as single exponent where a ≠ 0 is a rational number and m, n are whole numbers.
b n
let’s evaluate
3
1. Find the value of 13 .
2. Express 3,125 in exponential notation.
3
5
3. Compare (–3) and (–5) .
3
6
4. Simplify: (–3) × (–2) × (–5) 2
5. Express 72,900 in the powers of prime factors.
–2 –6 –1
3
7 2
9
3
6. Simplify: (a) - 3 ÷ - 3 × - 3 (b)
5 5 5 7
2 3 2 –6 2 2x – 1
7. Determine the value of x in × = .
3 3 3
12
8. An adult person has roughly 24 × 10 red blood cells. The average diameter of each of these
–9
cells is 8 × 10 km. If these cells are placed end to end, how long would the line be?
Thinking Skills
a –4 0 3 2 b 7
1. If = ÷ then evaluate and write the answer in exponential form.
b 3 5 a
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