Question

A student made two patterns to show multiplication of a declmal by powers of ten. The equations shown for both patterns are incorrect. Pattern A 3.675 • 10 = 3.6750 3.675 - 100 = 3.67500 3.675. 1.000 = 3.675000 Pattern B 3.675.0.1 = 3.0675 3.675 -0.01 = 3.00675 3.675 -0.001 = 3.000675 explain why the equations in each of the patterns are false. include in your explanation the values that should appear on the right side of each equation in both patterns to make the equations true. ​

Answer 1

Explanation:

The correct solving of the decimal shows that 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.

How to solve the decimals?

From the information given, it should be noted the students calculations are incorrect. Therefore, 3.675 ×10 = 3.6750, 3.675 × 100 = 3.67500 and 3.675 × 1,000 = 3.675000 are incorrect.

In this case, when multiply by raise to power 10, it's important to shift the decimal based on the number being raised to power.

Therefore, 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.