Why could poor people bring flour instead of an animal for a sin offering?

Because Leviticus 5 didn't want a person's guilt to outlast their wallet. The law names one offering — the chattat (חַטָּאת, H2403), the sin offering — and then lets it descend to meet whatever a person actually has in hand.

The default is a female animal from the flock, a lamb or a goat (Leviticus 5:6). No accommodation clause attaches to it; it is simply the starting point. But the very next verse builds in an exit ramp:

"But if his hand does not reach enough for a flock animal, then he shall bring... two turtledoves or two young pigeons to the LORD as his guilt-offering." — Leviticus 5:7

The phrase "does not reach" translates lo tagia yado — from naga (H5060), an ordinary verb for touching or reaching, used here for a hand that simply can't stretch that far financially. If even two birds are too much, the law drops one more rung:

"But if his hand does not attain to two turtledoves or two young pigeons, then he who sinned shall bring... a tenth of an ephah of fine flour for a sin offering." — Leviticus 5:11

Here the verb changes — lo tassig yado, from nasag (H5381), "to attain." Two different Hebrew words mark the two step-downs, not one idiom said twice, which tells us the text is deliberately encoding two separate financial thresholds. And nasag isn't a one-off word for Leviticus: the identical "his hand cannot attain" formula also governs the poor leper's cleansing (Leviticus 14:21), the redemption of land and persons at Jubilee (Leviticus 25:26, 47, 49), and the valuation of vows (Leviticus 27:8). Wherever Leviticus asks someone to pay something to God, it builds in a poverty exception.

What never moves through any of this is the outcome. The animal offering ends with atonement made (5:6); the bird offering and the flour offering both end with the identical formula, venislach lo — "and it shall be forgiven him" (5:10, 5:13). If anything, the text states the pardon more explicitly for the poorer tiers, as if determined to leave the person with the emptiest hand in no doubt at all.

This isn't Leviticus lowering its standards for the poor. It's Leviticus refusing to let poverty become a wall between a person and forgiveness. Paul says almost the same thing centuries later, writing that a gift "is acceptable according to what one has, not according to what one does not have" (2 Corinthians 8:12) — no shared Hebrew vocabulary, but the identical logic: God measures by capacity, not by a flat price tag everyone must somehow meet.

Want to see how the blood itself changes as the tiers descend — full at the lamb, reduced at the birds, gone entirely at the flour — and how the text answers what that means for atonement? Read the full study on the graduated offering.