Chapter 2 Integers And Rational Numbers
Section 2.0: Review What You Know
Page 63 Exercise 1 Answer
A fraction names part of a whole, part of a set, or a location on a number line.
It consists of a fraction bar and two number – a numerator and a denominator.
\(\frac{a}{b}\)where a is the numberator and b is the denominator.
Result
Fraction.
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Page 63 Exercise 2 Answer
A fraction represents a part of a whole or, more generally, any number of equal parts. It consists of a fraction bar and two number – a numerator and a denominator.
\(\frac{a}{b}\)where a is the numberator and b is the denominator.
The number above the fraction bar that represents the part of the whole is the numerator.
Result
Numerator.
Page 63 Exercise 3 Answer
A fraction represents a part of a whole or, more generally, any number of equal parts. It consists of a fraction bar and two number – a numerator and a denominator.
\(\frac{a}{b}\)where a is the numberator and b is the denominator.
The number below the fraction bar that represents the total number of equal parts in one whole is the denominator.
Result
Denominator.
Page 63 Exercise 4 Answer
To write a fraction as a decimal we must divide the numerator of the fraction by the denominator. If \(\frac{a}{b}\) is a fraction, we must find the quotient a ÷ b.
Use long division method to divide the numbers.
The fraction \(\frac{2}{5}\) written as a decimal is 0.4.
Result
0.4
Page 63 Exercise 5 Answer
To write a fraction as a decimal we must divide the numerator of the fraction by the denominator. If \(\frac{a}{b}\) is a fraction, we must find the quotient a ÷ b.
Use long division method to divide the numbers.
The fraction \(\frac{3}{4}\) written as a decimal is 0.75.
Result
0.75
Page 63 Exercise 6 Answer
To write a fraction as a decimal we must divide the numerator of the fraction by the denominator. If \(\frac{a}{b}\) is a fraction, we must find the quotient a ÷ b.
Use long division method to divide the numbers.
The fraction \(\frac{10}{4}\) written as a decimal is 2.5
Result
2.5
Page 63 Exercise 7 Answer
To write a fraction as a decimal we must divide the numerator of the fraction by the denominator. If \(\frac{a}{b}\) is a fraction, we must find the quotient a ÷ b.
Use long division method to divide the numbers.
The fraction \(\frac{12}{5}\) written as a decimal is 2.4.
Result
2.4
Page 63 Exercise 8 Answer
To write a fraction as a decimal we must divide the numerator of the fraction by the denominator. If \(\frac{a}{b}\) is a fraction, we must find the quotient a ÷ b.
Use long division method to divide the numbers.
The fraction \(\frac{3}{5}\) written as a decimal is 0.6.
Result
0.6
Page 63 Exercise 9 Answer
To write a fraction as a decimal we must divide the numerator of the fraction by the denominator. If \(\frac{a}{b}\) is a fraction, we must find the quotient a ÷ b.
Use long division method to divide the numbers.
The fraction \(\frac{15}{3}\) written as a decimal is 5.
Result
5
Page 63 Exercise 10 Answer
We need to find the quotient 1.25 ÷ 0.5.
To divide decimals, the divisor must be a whole number so you will first need to rewrite the divisor as a whole number by multiplying the divisor and dividend by a power of 10:
1.25 ÷ 0.5 = 12.5 ÷ 5
To divide a decimal by a whole number, ignore the decimal point and divide as if they are both whole numbers. Then place the decimal point in the quotient directly above the decimal point in the dividend.
Therefore, 1.25 ÷ 0.5 = 2.5
Result
2.5
Page 63 Exercise 11 Answer
We need to find the quotient 13 ÷ 0.65.
To divide decimals, the divisor must be a whole number so you will first need to rewrite the divisor as a whole number by multiplying the divisor and dividend by a power of 10:
13 ÷ 0.65 = 1300 ÷ 65
Using long division gives:
Therefore, 13 ÷ 0.65 = 20
Result
20
Page 63 Exercise 12 Answer
We need to find the quotient 12.2 ÷ 0.4.
To divide decimals, the divisor must be a whole number so you will first need to rewrite the divisor as a whole number by multiplying the divisor and dividend by a power of 10:
12.2 ÷ 0.4 = 122 ÷ 4
To complete the division, write a decimal point in the dividend and quotient and annex a 0 in the dividend:
Therefore, 12.2 ÷ 0.4 = 30.5
Result
30.5
Page 63 Exercise 13 Answer
To find the ordered pair (x,y) for the point J we must trace the x coordinate on x-axis and the y coordinate on the y-axis.
x = 4 and y = 3 thus, the ordered pair for the point J is (4,3).
Result
(4,3)
Page 63 Exercise 14 Answer
To find the ordered pair (x,y) for the point K we must trace the x coordinate on x-axis and the y coordinate on the y-axis.
x = 0 and y = 5 thus, the ordered pair for the point K is (0,5).
Result
(0,5)
Page 63 Exercise 15 Answer
To find the ordered pair (x,y) for the point L we must trace the x coordinate on x-axis and the y coordinate on the y-axis.
x = 6 and y = 8 thus, the ordered pair for the point L is (6,8).
Result
(6,8)
Page 63 Exercise 16 Answer
To find the ordered pair (x,y) for the point M we must trace the x coordinate on x-axis and the y coordinate on the y-axis.
x = 7 and y = 1 thus, the ordered pair for the point M is (7,1).
Result
(7,1)
Page 63 Exercise 17 Answer
To plot the point A(6,2) – find 6 on the x-axis since 6 is the x-coordinate and find 2 on the y-axis since it is the y-coordinate, then follow the grid lines from these points to where they meet, this is the point A.
Result
Find 6 on the x-axis and 2 on the y-axis. Then follow the grid lines from these points to where they meet.
Page 63 Exercise 18 Answer
To plot the point B(1,3) – find 1 on the x-axis since it is the x-coordinate and find 3 on the y-axis since it is the y-coordinate, then follow the grid lines from these points to where they meet, this is the point B.
Result
Find 1 on the x-axis and 3 on the y-axis. Then follow the grid lines from these points to where they meet.
Page 63 Exercise 19 Answer
To plot the point C(5,7) – find 5 on the x-axis since it is the x-coordinate and find 7 on the y-axis since it is the y-coordinate, then follow the grid lines from these points to where they meet, this is the point C.
Result
Find 5 on the x-axis and 7 on the y-axis. Then follow the grid lines from these points to where they meet.
Page 63 Exercise 20 Answer
To plot the point D(3,4) – find 3 on the x-axis since it is the x-coordinate and find 4 on the y-axis since it is the y-coordinate, then follow the grid lines from these points to where they meet, this is the point D.
Result
Find 3 on the x-axis and 4 on the y-axis. Then follow the grid lines from these points to where they meet.
Page 63 Exercise 21 Answer
When dividing by a number less than one, such as 0.75, the result is always greater than the dividend, that is, in this case the result must be greater than 3.9.
Result
The quotient must be greater than 3.9 since the divisor is less than one.