Order the following decimals. State your method of choice and your reasons for choosing it. Explain how you know this order is accurate.

Question

Order the following decimals. State your method of choice and your reasons for choosing it. Explain how you know this order is accurate.

.3456

.40

.350

Answer 1

.40>.350>.3456

.3456<.350<.40

.40 = 40/100= 400//1000=4000/10,000

.350=350/100= 3,500/10,000

.3456 = 3456/10,000

3456<3500<4000

when the denominators are the same, rank the numerators

3456/10,000<3500/10,000<4000/10,000

.3456<.3500<.4000

.3456<.340<.40