Exodus 29:26-28 meaning

The breast of Aaron's ram of ordination was given special treatment. It was to be waved as a wave offering before the Lord, and instead of it being burned like the rest of the animal's body, the ram's breast was to be the priests' portion. This meant that it could be eaten by the priests. They were to consecrate (Heb. "qadash," "to dedicate for special use") the breast of the wave offering and the thigh of the heave offering which was waved and which was offered from the ram of ordination, from the one which was for Aaron and from the one which was for his sons.

The heave offering was, like the wave offering, a special offering for the priests. The Hebrew translated heave ("terumah") is from the verb meaning "to be high." This implies that this offering was to be raised as high in the air as possible to demonstrate that it was being given back to God who gave it to the offerer. These parts of the sacrificial animal (the breast and thigh) were set aside as food for the priests.

This ordination was to be for Aaron and his sons as their portion forever from the sons of Israel. It was in effect for all time, for it is a heave offering. It was a heave offering from the sons of Israel from the sacrifices of their peace offerings, even their heave offering to the Lord. When an Israelite brought a peace offering to the LORD, the breast and thigh of the animal belonged to the priests as a source of food for them to consume.