Question

which decimal is less than the one shown in this diagram? 0.7 0.397 0.401 0.5

Explanation:

Step1: Determine the decimal from the diagram

The grid has 10 columns and 10 rows, so there are \(10\times10 = 100\) small squares. The blue part has 4 columns (since it's 4 out of 10 columns) and 10 rows, so the number of blue squares is \(4\times10=40\). So the decimal represented is \(\frac{40}{100}=0.4\).

Step2: Compare each option with 0.4

• For \(0.7\): \(0.7>0.4\)
• For \(0.397\): \(0.397<0.4\) (because \(0.397\) is 0.003 less than \(0.4\))
• For \(0.401\): \(0.401>0.4\) (because \(0.401 - 0.4=0.001>0\))
• For \(0.5\): \(0.5>0.4\) (because \(0.5 - 0.4 = 0.1>0\))

Answer:

0.397