2. Find the following products: (a) 2.98 x 7 (b) 4 x 5.096 (c) 3.08 x 7 (d) 12 x 2.907 (e) 2.3 x 1.98 (f) 100.96 x 2.8 (g) 2.6 of 3 (h) 9.8 of 5.2 (i) 2.086 x 10 (j) 4.924 x 100 (k) 0.982 x 1000
Answer (1)
Let's solve these multiplication problems step by step:
(a) 2.98 × 7 To find this product, multiply the numbers as you would whole numbers and then place the decimal in the product.
2.98 × 7 = 20.86
(b) 4 × 5.096 Multiply as you would whole numbers, then add the decimal.
4 × 5.096 = 20.384
(c) 3.08 × 7 Multiply as you would whole numbers, then add the decimal.
3.08 × 7 = 21.56
(d) 12 × 2.907 Multiply and add the decimal in the correct position.
12 × 2.907 = 34.884
(e) 2.3 × 1.98 Multiply and adjust for the decimal placement.
2.3 × 1.98 = 4.554
(f) 100.96 × 2.8 Use multiplication and adjust for two decimal places.
100.96 × 2.8 = 282.688
(g) 2.6 × 3 Simple multiplication with one decimal place.
2.6 × 3 = 7.8
(h) 9.8 × 5.2 Multiply and place the decimal.
9.8 × 5.2 = 50.96
(i) 2.086 × 10 When multiplying by 10, move the decimal one place to the right.
2.086 × 10 = 20.86
(j) 4.924 × 100 When multiplying by 100, move the decimal two places to the right.
4.924 × 100 = 492.4
(k) 0.982 × 1000 When multiplying by 1000, move the decimal three places to the right.
0.982 × 1000 = 982
Each problem shows the multiplication process and how to manage decimal positions accurately.
