Problem
Ones digits tie at 4, so the tenths decide: A ＞ 6. The digits 1-9 above 6 are 7, 8, 9.
When the whole-number parts match, the bigger decimal is the one with the bigger tenths digit.
4.NF.C.7Guess And CheckIn 4.6 < 4.A the ones digits are both 4, so the comparison comes down to the tenths place, and A must be greater than 6.
The two numbers are equal in the ones place, so the shared 4 is the same in each and cannot make one larger than the other; whatever settles the comparison must come from the tenths place.
Each number splits into its ones part and its tenths part with no gap and no overlap, so when one shared piece is identical in both, only the remaining tenths pieces can make them differ.
With the ones parts equal, the number holding more tenths is the larger one, and the tenths digit tells how many tenths there are, so a bigger tenths digit means a bigger number.
The tenths place always counts pieces of one fixed size, one tenth, so more of that same-size piece is genuinely a larger amount.
A can be 7, 8, or 9; the smallest is 7.
Just above 6 is 7, so 7 is the smallest tenths digit that still beats 4.6.
4.NF.C.7Look For A PatternTenths digits tie at 6, so the ones decide: B ＜ 4. The digits 1-9 below 4 are 1, 2, 3.
With equal tenths, the smaller number is the one with the smaller ones digit.
4.NF.C.7Guess And CheckB can be 1, 2, or 3; the largest is 3.
Just below 4 is 3, so 3 is the largest ones digit that keeps B.6 under 4.6.
4.NF.C.7Look For A PatternCompare decimals from the highest place down: same ones? look at tenths; same tenths? look at ones - pure Grade 4 place value!