Question

1. put a check mark in each case to say which number is larger. explain your answer each time on the dotted lines underneath. (a) 40% $square$ or $\frac{1}{4}$ $square$ explain how you know. (b) 0.7 $square$ or $\frac{3}{5}$ $square$ explain how you know. (c) 33% $square$ or 0.4 $square$ explain how you know.

Explanation:

Step1: Convert 40% to decimal

$40\% = \frac{40}{100} = 0.4$

Step2: Convert $\frac{1}{4}$ to decimal

$\frac{1}{4} = 0.25$

Step3: Compare 0.4 and 0.25

$0.4 > 0.25$, so $40\% > \frac{1}{4}$

Step4: Convert $\frac{3}{5}$ to decimal

$\frac{3}{5} = 0.6$

Step5: Compare 0.7 and 0.6

$0.7 > 0.6$, so $0.7 > \frac{3}{5}$

Step6: Convert 33% to decimal

$33\% = \frac{33}{100} = 0.33$

Step7: Compare 0.33 and 0.4

$0.33 < 0.4$, so $33\% < 0.4$

Answer:

(a) Check mark next to 40%. Explanation: 40% equals 0.4, and $\frac{1}{4}$ equals 0.25; 0.4 is greater than 0.25.
(b) Check mark next to 0.7. Explanation: $\frac{3}{5}$ equals 0.6; 0.7 is greater than 0.6.
(c) Check mark next to 0.4. Explanation: 33% equals 0.33; 0.33 is less than 0.4.