Answer:
1. 1.35 × 4.2 = 5.67
2. (0.22) × (0.4) = 0.088
Step-by-step explanation:
1. The given equation for the multiplication of two numbers is presented as follows;
135 × 42 = 5,670
The equation of the two numbers that are to be multiplied is presented as follows;
1.35 × 4.2
Rewriting the equation as fractions, using decimal place values and the relationship with dividing by 10, we get;
1.35 × 4.2 = 135/100 × 42/10 = 135 × 42/(100 × 10)
100 × 10 = 1,000
∴ 135 × 42/(100 × 10) = 135 × 42/1,000
From, 135 × 42 = 5,670, we get;
135 × 42/1,000 = 5,670/1,000 = 5.670 (We move the decimal point three places to the left when dividing by 1,000)
∴ 1.35 × 4.2 = 135 × 42/1,000 = 5.670
1.35 × 4.2 = 5.670 = 5.76
1.35 × 4.2 = 5.76
Therefore, when computing 1.35 × 4.2, using 1.35 × 4.2 = (135 × 42)/1,000 = 5,6701,000 we move the decimal point three places to the left to change the place value of '5' from thousands to units
2. (0.22) × (0.4), using equivalent fractions and the place value of the last digit of each number, we have;
(0.22) × (0.4) = 22/100 × 4/10 = 88/1000 = 0.088
For a division by 1,000, we move the decimal point three places to the left to get;
(0.22) × (0.4) = 22/100 × 4/10 = 88/1000 = 0.088
(0.22) × (0.4) = 0.088.
