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Statements True or False 4.086<5.0254.086<5.025 True False 6.37=6.3706.37=6.370 True False 11.716<11.70811.716<11.708 True False 64.28>64.28164.28>64.281 True False 3,756.082<3,756.8023,756.082<3,756.802 True False

User Morewry
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1 Answer

2 votes

Answer:

4.086 < 5.025 true

6.37 = 6.370 true

64.28 > 64.281 false

11.716 < 11.708 false

64.28 > 64.281 false

3,756.082 < 3,756.802 true

Explanation:

First, let's define how the symbols work.

a < b means that a is strictly smaller than b

a > b means that a is strictly greater than b

Also, for rounding up or down:

Suppose that we want to round to the second decimal after the decimal point.

Then, we need to look at the third one, if it is 5 or larger, we round up.

if it smaller than 5, we round down.

We need to see if each statement is true or not.

a) 4.086 < 5.025

This is true, the number 5.025 is larger than 4.086 (you only need to see at the units digit) So this statement is true.

b) 6.37 = 6.370

Because the third digit is equal to zero, we can round down the right number to 6.37, then the equality is true.

c) 11.716 < 11.708

11.716 is actually larger than 11.708, so this statement is false

d) 64.28 > 64.281

We have that:

64.28 + 0.001 = 64.281

Then 64.281 is larger than 64.28, so this statement is false.

e) 3,756.082 < 3,756.802

By looking at the numbers after the decimal point, we can see that the right number is larger than the left one, then the statement is true.

User Bruno Unna
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2.8k points