Go Math Grade 8 Texas 1st Edition Solutions Chapter 2 Scientific Notation Exercise
Page 29 Exercise 1 Problem 1
We can solve real-world problems by use of scientific notation with help of scientific notation rules.
Page 30 Exercise 2 Problem 2
Given: Exponential expression 102.
We need to write the above exponential expression as a decimal.
Solution is -102 represent in decimal as 10 × 10 = 100.0
Exponential expression 102 as a decimal is = 100.0
Page 30 Exercise 3 Problem 3
Given: Exponential expression 107.
We need to write the above exponential expression as a decimal.
Solution is -107 represent in decimal as =10 × 10 × 10 × 10 × 10 × 10 × 10 = 10000000.0.
Exponential expression 107 as a decimal =10000000.0
Page 30 Exercise 4 Problem 4
Given: 45.3 ×103
To find – Product of the given expression.
Multiply the expression and shift the decimal to the right according to the exponent.
Given – 45.3 × 103.
Product of:
45.3 × 103 = (453 × 10−1)×(1 × 103)
45.3 × 103 = (453 × 1)×(10−1 × 103)
45.3 × 103 = 453 × (10 − 1 + 3)
45.3 × 103 = 453 × 102.
Product of 45.3×103 is = 453 × 102.
Page 30 Exercise 5 Problem 5
Given: 7.08 ÷102
To find – Quotient of the expression.
Move the decimal to left in accordance with the exponent of ten.
Given- 7.08 ÷ 102.
Quotient of 7.08 ÷ 102 = \(\frac{7.08}{10^2}\)
7.08 ÷102 = \(\frac{708 \times 10^{-2}}{1 \times 10^2}\)
7.08 ÷ 102 = \(=\left(\frac{708}{1}\right) \times\left(\frac{10^{-2}}{10^2}\right)\)
7.08 ÷ 102 = 708 × (10−2−2 )
7.08 ÷ 10−4
= 708 × 10−4
Quotient of 7.08 ÷ 102 is = 708×10−4.
Page 30 Exercise 6 Problem 6
Given: 0.00235 × 106
To find – Quotient of the expression.
Move the decimal to left in accordance with the exponent of ten
Given- 0.00235 × 106.
Product of 0.00235 × 106 = (235 ×10 − 5 ) × (1 × 106 )
0.00235 × 106 = (235 × 1) × (10 − 5 × 106 )
0.00235 × 106 = 235 × (10 − 5 + 6 )
0.00235 × 106 = 235 × 101.
Product of 0.00235 × 106 is = 235 × 101.
Page 30 Exercise 7 Problem 7
Given: 0.5 × 102.
To find – product or quotient of above expression . 0.5 convert in exponential form as 5 × 10-1 and solve it.
Product of 0.5 × 102
0.5 × 102 = (5 × 10−1) × (1 × 102 )
0.5 × 102 = (5 × 1)×(10−1 × 102 )
0.5 × 102 = 5 × (10 −1+2 )
0.5 × 102 = 5 × 101.
Product of 0.5 × 102 is = 5 × 101.
Page 30 Exercise 8 Problem 8
Given: 67.7 ÷ 105.
To find – Product or quotient of above expression .
67.7convert in exponential form as 677 × 10−1 and solve it.
Quotient of 67.7 ÷ 105 = \(\frac{677 \times 10^{-1}}{10^5}\)
67.7 ÷ 105 = \(677 \times\left(\frac{10^{-1}}{10^5}\right)\)
67.7 ÷ 105 = 677 × (10 −1−5 )
67.7 ÷ 105 = 677 × (10 −6).
Quotient of 67.7 ÷ 105 is = 677 × 10 −6.
Page 30 Exercise 9 Problem 9
Given: 0.0057 × 104.
To find – Product or quotient of above expression .
0.0057 convert in exponential form as 57 × 10−4 and solve it.
Product of 0.0057 × 104
0.0057 × 104 = (57 × 10−4 ) × (1 × 104 )
0.0057 × 104 = (57 × 1) × (10−4 × 104 )
0.0057 × 104 = 57 × ( 10−4+4 )
0.0057 × 104 = 57.0
Product of 0.0057 × 104 is = 57.0
Page 30 Exercise 10 Problem 10
Given: 195 ÷106.
To find-product or quotient of above expression .
195 convert in exponential form as 195 × 100 and solve it.
Quotient of 195 ÷106 = \(\frac{195 \times 10^0}{10^6}\)
195 ÷106= \(\left(\frac{10^0}{10^6}\right)\)
195 ÷106= 195 × 100−6
195 ÷106= 195 × 10−6
Quotient of 195 ÷106 is = 195 × 10−6.
Page 31 Exercise 11 Problem 11
Given:
To find – Complete the Venn diagram .
Given expression 10 compare with exponential expression ba and solve it.
102 represent the exponential expression where 10 is base and 2 is exponent.
So in box 1 : _____________ 10 is base .
In box 2 :______________ 2 is exponent.
Venn diagram
Page 31 Exercise 12 Problem 12
Given:
To find – Complete the sentences
Solution is – A number produced by raising a base to an exponent is a power.
Complete sentence is – A number produced by raising a base to an exponent is a power .
Page 31 Exercise 13 Problem 13
Given:
To find – Complete the sentences.
Solution is – Scientific notation is a method of writing very large or very small numbers by using powers of 10 .
Complete sentence is – Scientific notation is a method of writing very large or very small numbers by using powers of 10 .
Page 31 Exercise 14 Problem 14
Given: A __________ is any number that can be expressed as a ratio of two integers.
To Complete the sentence.
Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
A scientific notation is any number that can be expressed as a ratio of two integers.
A scientific notation is any number that can be expressed as a ratio of two integers.