Another Peek Beyond the Point

Recall that a tenth is 0.1, a hundredth is 0.01, and so on. Find the following products in tenths, hundredths and so on: (a) $6 \times 4$ tenths = 24 tenths (b) $7 \times 0.3$ (c) $9 \times 5$ hundredths

Find the products: (a) $27.34 \times 6$ (b) $4.23 \times 3.7$ (c) $0.432 \times 0.23$

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

Meenu bought 4 notebooks and 3 erasers. The cost of each book was ₹15.50 and each eraser was ₹2.75. How much did she spend in all?

The thickness of a rupee coin is 1.45 mm. What is the total height of the cylinder formed by placing 36 rupee coins one over the other? Write the answer in centimeters.

The price of 1 kg of oranges is ₹56.50. What is the price of 2.250 kg of oranges? Can we write 56.50 as 56.5 and 2.250 as 2.25 and multiply? Will we get the same product? Why?

Dwarakanath purchases notebooks at a wholesale price of ₹23.6 per piece and sells each notebook at ₹30/-. How much profit does he make if he sells 50 books in a week?

Given that $18 \times 12$ = 216, find the products: (a) $18 \times 1.2$ (b) $18 \times 0.12$ (c) $1.8 \times 1.2$ (d) $0.18 \times 0.12$ (e) $0.018 \times 0.012$ (f) $1.8 \times 12$. In which of the cases above is the product less than 1?

In which of the following multiplications is the product less than 1? Can you find the answer without actually doing the multiplications? (a) $7 \times 0.6$ (b) $0.7 \times 0.6$ (c) $0.7 \times 6$ (d) $0.07 \times 0.06$

Find the quotient by converting the denominator into 1, 10, 100 or 1000 and verify the solution by the long division method (division by place value). (a) 18/5 (b) 415/4 (c) 1217/2 (d) 4827/8

Choose the correct answer: (a) 1526/4 = (i) 38.15 (ii) 381.5 (iii) 3815 (iv) 381.05 (b) 3567/8 = (i) 4458.75 (ii) 445.875 (iii) 4458.75 (iv) 4458.75

What is the quotient? (a) 132 ÷ 4 = (b) 13.2 ÷ 4 = (c) 1.32 ÷ 4 = (d) 0.132 ÷ 4 =

What is the quotient? (a) 126 ÷ 8 = (b) 12.6 ÷ 8 = (c) 1.26 ÷ 8 = (d) 0.126 ÷ 8 =

Express the following fractions in decimal form: (a) 2/5 (b) 13/4 (c) 4/50 (d) 5/8

Find the quotients: (a) 24.86 ÷ 1.2 (b) 5.728 ÷ 1.52

Evaluate the following using the information $156 \times 12$ = 1872. (a) $15.6 \times 1.2$ = ____ (b) 187.2 ÷ 1.2 = ____ (c) 18.72 ÷ 15.6 = ____ (d) $0.156 \times 0.12$ = ____

Evaluate the following: (a) 25 ÷ ____ = 0.025 (b) 25 ÷ ____ = 250 (c) 25 ÷ ____ = 2.5 (d) 25 ÷ 10 = 25 × ____ (e) 25 ÷ 0.10 = 25 × ____ (f) 25 ÷ 0.01 = 25 × ____

Find the quotient: (a) 2.46 ÷ 1.5 = ____ (b) 2.46 ÷ 0.15 = ____ (c) 2.46 ÷ 0.015 = ____. Is the quotient obtained in 24.6 ÷ 1.5 the same as the quotient obtained in 2.46 ÷ 0.15?

A 4 m long wooden block has to be cut into 5 pieces of equal length. What is the length of each piece?

If the perimeter of a regular polygon with 12 sides is 208.8 cm, what is the length of its side?