Question

Simplify; 2.6 x 103 + 1.8 x 103

Answer 1

Is it right or wrong tell me in the comments....

Answer 2

We are given a problem where we need to multiply two decimals by the same number and add them. To make such questions simple, the distributive property of multiplication over addition is used. It states that

(a × b) + (a × c) = a(b + c)

$\sf{So,\:(2.6\times103)+(1.8\times103)}$

$\sf{=\:103\times(2.6+1.8)}$

$\sf{=\:103\times4.4}$

We know that, to multiply a decimal with a whole number, we

• Count the number of digits to the right of the decimal point.
• Ignore the decimal point in the decimal and multiply them as whole numbers.
• Insert the decimal point to the product by counting the same number of digits from the right.

$\sf{So,\:103\times4.4\:=\:453.2}$

Therefore, 2.6 × 103 + 1.8 × 103 = 453.2 .