Select the three expressions that are equivalent to 5.9.
59 ÷ 10 = 10
59 ÷ 10
590 ÷ 10
590 ÷ 10 ÷ 10
5,900 ÷ 10 – 10 ÷ 10
5,900 ÷ 10 ÷ 10
Select the three expressions that are equivalent to 5.9.
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To determine which expressions are equivalent to 5.9, let’s simplify each option:
1. 59 ÷ 10 = 10: This is incorrect; 59 ÷ 10 = 5.9.
2. 59 ÷ 10: This is equivalent to 5.9, as calculated above.
3. 590 ÷ 10: This simplifies to 59, not 5.9.
4. 590 ÷ 10 ÷ 10: This simplifies to 590 ÷ 10 = 59, then 59 ÷ 10 = 5.9, so this is equivalent.
5. 5,900 ÷ 10 – 10 ÷ 10:
– 5,900 ÷ 10 = 590
– 10 ÷ 10 = 1
– Thus, 590 – 1 = 589, which is not equivalent to 5.9.
6. 5,900 ÷ 10 ÷ 10:
– 5,900 ÷ 10 = 590
– 590 ÷ 10 = 59, not 5.9.
So, the three expressions equivalent to 5.9 are:
– 59 ÷ 10
– 590 ÷ 10 ÷ 10
Please take note that there are only 2 expressions equivalent to