Question

1. (a) what number is 140 percent of 70? work the problem and then draw a diagram of the problem.

Explanation:

Step1: Convert percentage to decimal

140% = $1.4$

Step2: Multiply by the base number

$1.4 \times 70 = 98$

Step3: Diagram setup explanation

Create a bar representing 70 (100%). Extend the bar by 40% of its length to represent 140%. Label the full extended bar as the result, and mark segments for 100% (70) and 40% (28).

Answer:

98

Diagram Description:

100% (70)          40% (28)
|-------------------|---------|
<----------------------------->
          140% (98)

The entire bar represents 140% of 70, split into the original 100% value (70) and the additional 40% value (28), summing to 98.