1 Marks Question

Evaluate the following using the information 156 × 12 = 1872.
(a) 15.6 × 1.2 = _______
(b) 187.2 ÷ 1.2 = _______
(c) 18.72 ÷ 15.6 = _______
(d) 0.156 × 0.12 = _______

Answer

Given 156 × 12 = 1872 ……(i)
⇒ $=\frac{1872}{12}$ …….(ii)
⇒ 12 = $\frac{1872}{156}$ …….(iii)
(a) Now converting division into a fraction
15.6 × 1.2 = $=\frac{156 \times 12}{10 \times 10}=\frac{1872}{100}=$ 18.72 [using (i)]
(b) Converting division into a fraction 187.2 ÷ 1.2
$187.2 \div 1.2=\frac{187.2}{1.2}=\frac{1872}{12}=156$ [using (ii)]
(c) Converting division into a fraction 18.72 ÷ 15.6, we get
$18.72 \div 15.6=\frac{18.72}{15.6}=\frac{1872 \times 10}{156 \times 100}=\frac{12}{10}=1.2$ [Using (iii)]
(d) Here 0.156 × 0.12 $=\frac{156 \times 12}{1000 \times 100}$ [Using (i)]
$=\frac{1872}{1000 \times 100}$
= 0.01872

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Question 101 Mark

Express the following fractions in decimal form:
$\frac{5}{8}$

Answer

$\frac{5}{8}$
Multiply both the Nr and Dr by 125.
$\frac{5}{8} \times \frac{125}{125}=\frac{625}{1000}$
Now, put the decimal
$\frac{625}{1000}=0.625$
Hence $\frac{5}{8}$ in decimal form is 0.625.

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Question 111 Mark

Express the following fractions in decimal form:
$\frac{4}{50}$

Answer

$\frac{4}{50}$
Multiply both the Nr and Dr by 2.
$\frac{4}{50} \times \frac{2}{2}=\frac{8}{100}$
Now, put the decimal
$\frac{8}{100}=0.08$
Hence $\frac{4}{50}$ in decimal form is 0.08.

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Question 121 Mark

Express the following fractions in decimal form:
$\frac{13}{4}$

Answer

$\frac{13}{4}$
Multiply both the Nr and Dr by 25.
$\frac{13}{4} \times \frac{25}{25}=\frac{325}{100}$
Now, put a decimal
$\frac{325}{100}=3.25$
Hence $\frac{13}{4}$ in decimal form is 3.25.

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Question 131 Mark

Express the following fractions in decimal form:
$\frac{2}{5}$

Answer

$\frac{2}{5}$
Multiply both the Nr and Dr by 2.
$\frac{2}{5} \times \frac{2}{2}=\frac{4}{10}$
Now, put decimal $\frac{4}{10}=0.4$
Hence $\frac{2}{5}$ in decimal form is 0.4.

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Question 141 Mark

Thejus needs 1.65 m of cloth for a shirt. How many metres of cloth are needed for 3 shirts?

Answer

Given: Thejus needs 1.65 m of cloth for a shirt.
For 3 shirts, the total cloth needed = 1.65 × 3
$\begin{array}{l}=\frac{165}{100} \times 3 \\ =\frac{495}{100}\end{array}$
= 4.95

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Question 151 Mark

Find the product:
0.432 × 0.23

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Question 161 Mark

Find the product:
4.23 × 3.7

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Question 171 Mark

Find the product:
27.34 × 6

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Question 181 Mark

Recall that a tenth is 0.1, a hundredth is 0.01, and so on. Find the following product in tenths, hundredths, and so on:
9 × 5 hundredths